Modelling the Dissipation Equation in Supersonic Turbulent Mixing Layers with High Density Gradients
28
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Modelling the dissipation equation in supersonic turbulent mixing layers with high density gradients Dominique Guézengar — Hervé Guillard — Jean-Paul Dussauge. N° 3761 Septembre 1999 THÈME 4. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5)
(6)
(7) !
(8) " # $
(9) % &$'(
(10) )+*, .-&
(11) / 0) $21+ .3! 4
(12) & .506 )$)(
(13) 78:9<;>=;>?A@3BDCE@FHGHBI=3JLK5MONQPSR&BHM T:FDCE@3;VUVUWK5M XSYP[Z5BHK5=\^]_K5@3U7@3`O`OK5@3J:BHa bdcfe gih jl k6h)~omo~npuge giqfrth sv~ uwnyxIxIz(gih{fu ryx|h }{}h uwny~ gint~sunpx|z Swxh umonyzoq~ s{{xIu hwh .cfh w.chz53Hfk6moh {}uh gfwh I|k vji{s||h ~ ~np|zf ny °v fs||zH|u h z ~z¡nu)ucfIntw~s ¢£nph x|zHw¤:uw~ ¥S¥¯unpcf~ hE nts|~wfqnpry~wn ~uh<Lx±¦ u²s¨nt~3§(~c©«xv¢ ª¬z)giuxc svh u[rWs|¥[~uwx¨npz³5x|x|giq{fz qf ush¬wgirts¯n }|nph zf.®~ ¥ rp s¯hI°h .ny~h z¢ nynpuh c ~ s| x|{fw{5h hOs^EuwnyxI¦´x|z#~ ± x|gi¹ {fwgih ~wx ~npfny°rph® sµuxvnpx|¢zº~ ¥xh ¦D¶|h ucfz·h¼ny¦i»u½¾cfh¸xo§Dh¿À©npª<h zHgiu«x nt~Áh r³{fwnpx|~#{5nyxIgi~h {f wxv¶|uxÂh ox|gi·{fq}x|uwgih{fwhh ¿À~w~nynpfh zHnpr unurp s(x|~gih {{fs|wh w~ws~unphlfrpgih¬x gi h n }rpynpnpzfzf<¬rtxs¯¦Ä|h ucf.~ihÀ¢ ~qfnyuc«~x|cfznpnp|ic sz h z~~qfnu{5¡h .¶v~sxIwzfnpsnt³unph x|Å5zhO~ ^± u.~ bd± cfbdnp~&cfhzfh w¢Ãh ~qf¦´ryxIuw~g³s|qfrphlsu{fnpx|wh z¸~h rpzHh us h ~xIuzx gis|z ny }nyzfÊË´¶|rps¯h Iryx}h _nux|Ì gi {fh zqf~uwnsvuuwnyxIzw~ÆxI~w¢ ~ÍÏn|uwc.s h nph zzH~u.nyu~w¬Î¥H.s|svz u npxIuw~cfhh ux|¢Äzoh ¶|h hOzÈ^uǯnpÉ|¶|ʬhЬ˴¶|h sIry.x}c nzouqfg³Ì h h z~nh u¶I(x|rp¶|x|h ÍWI~Äw¦´s wx| gÃnph zHÑfuw~.Ò Ó Î uw x<x|giÇ {f± q}bduwh ch cf¨nyIc¬~c~xv{5¢Ôh h sQ girph nys }nyzfnyigirt{fs¯w|xvh ¶|wh ~ gl± h zHu)x¦ uch& s|{sfnpr nuDx¦ uwcfh§&©¡ªgix h rÄux#sI qfwsuh ry Õ¬ÖH×:ØwÙÚ vÛ| Ьn }npzfrps¯Ih O¥fmoqf{5h .~xIzfnp bqfwfqfrph zHudµxv¢~ ¥§³©®ª)gix h r £ê Üdà Ý´Ý´øÞÞò ßA߯ÝáøÝáàÄà[ââãLãLò ä}äfý>åvå|ð.æ^æ^õ çOçOoââ|øè^è^þé^é^õôæ^øæ^ýVè^è^þ êêÆ ë ë ç^ì^ì^è^í¯í¯è^î¯îOçïñïñð£ðdààð.ò ý>òö>ó>óWøïôïôíïôíõ ì^ôì^ø^õôõôïâOï ööSüv÷:÷:ýWð.øøò¯ù¯ù¯þøûøûøú|ú|âvâüvüvýWýWð.ð.òOò¯þþø ø£ð.ò¯ùÝ´ßäÿAâ[å lå|÷LÞßëò¯ï øýVöWï ó öÞ
(14) é ^æ¯â Ý´ßäÿ â [å lå¯÷AÞß ë ò¯ï øýVöWï ó öÞ é ^æ ¯â ê£à øò ¯ø ò ýWð.õ oøþõôøý>þ ç^è^è^ç ð.ýVöWøïôõ ôø^â¯üvý>ð.ò¯þø. . 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.
(15) ³
(16)
(17) 4 /( 3
(18)
(19) %Ä %S& Ã*³
(20) & # $
(21)
(22) !$
(23) &%£ v)$ )$)(
(24) * ) ) * & h rp
(25) n zÀgl {fny uhO ~ ~¥vh rp zh£ glh x hÆhe ¦´uwryx|whds¯suw¶v~Äs np|h r .~ s u q nny¿Àh zIny h_u.qf~ rtrsu h_ ~ s|g{s|ws|h ~w{n~uh x ¶| x|qfqrpqfnpwgigih[x nrpIh ~qe hrphh }± {§_ ©¬zÀnph ªHgiz¥x|zHh ~uws|g h rp gHqfiqfrph h_hd ~ xInHh glry~£h£gigixIh x q.e cfsrph zhÄ~ ~[hO rp~h h_u3~£sgg xI q rtsrp.n zfcfx|Ih h~ { x|sw np |h h ~ SxIh ~w h ¦Vus|npx|q}zuw~~ ± h³huxIugihzf{fxIhOqf~¶|~h npfrypnyhdrpny¦´!u x| w± g qzErpsu{fnpwx|x|zi{5{xIh ~h)giqfh zu h gihÆx ~! {n°5s wsvh SuwnyrtxIs z gl x qD # "rynt~w¿Àsvunpnpx|h z zHu_ »h ~²½ h {5Å5x|h qfuw~ ~s¯qfHszH~x|u z $n h H~[qfhws|h{fu{5~x|qf{5uw~ h . ~hxIzfgin IsIq~~h h ± ¶| xIzryq{gl! nOH~qfh zIhuwh h zIryuwhO~ h! ÇvOÉ|~ÊÆqrh u.u svuwÊÆ~ h~u£qfqf z hOzf~ xIg s|frp wqfh rp~ h_ ÐEh)s|x|.qc.cfxIh zH¶Ihh g uny¦5 rth szIzfuwIhh Ñ sÒ Órth qfuÀrph Ç ± hO ~h ~ xIq .~cfqfhOryuw~ s uwh~ %ggi x|rpzHs|uzfw|h zH&h ulqf|zf.hÀsz s| ghÆ ¶orpnynyxIuhOws~~uh npx|~ z#zhuuwh h ~ s{s|nyu!O~ q¨gix e rph§&© ªH¥ x|q.cfh ~ hg rtsz|h|*¥ )[x|qryh glh zHuw~£uqfqryh zIu.~~qf{h w~x|z$n HqfhO~ ¥ogix e rph§³©Dª ' Ú O Ø ( .
(26)
(27)
(28) !"#
(29). ¨ LÂ&%¡ $ xIxIxIzHgigiu{{fwx|shOrLw~np~~h x|npryfz(ry~Äh£'*x|~) {¦uw±hOcfs h± nynp± zzf±x|.±gisv±uw{fh w± ~3h ~w±2~w±nyfh ~±_rphqf±ry~uw{±~x±hO¦5s ± §S ±np©zf±ªdl±giws±x uh ± ~h ±roË ¢ ,.±_n-«±uwcl± Ñf» Ò±/1½ 0I±-¾Î ± Ç|±±Ò Ó_±± s±±z ±± ±±m)5±±47±_±_6 ±±±± j: x|xIxIgigigi{f{f{fwh hOhO~w~~~~~npnpnpfffnpryryryhhn uÀ~~{f{fgiwwh h x ss h nynprzfzfl¬± .wsvs±uuhO±hO9~ ~;±2S2±hOw±_h ~qf~±qfryuw±r~du.~)±x|¦Sx|± ¦ §³±u©®±cfh±ª)gi±gix± x ±nh °±_r h ±± ±± » ±±½ ±±¢ ±±nuwc=±±±± <>±±- ±± ±±Ç|Ò ±±//±_±_? ±±±± @ wh r ± x|gi{s @ npz nt svuwh ~ÀucsuÀucfhDxIgl{svunpfnpryn u¡h rpsunpx|zË : ÎcsI~h h z«q~h ux huh ginpzfh)» ½ ± ±±± ±± ±± ±±±_±± ±± ±±± ±± ±±_±± ±±± ±± ±± ±±±_±± $. ßßÃòAçCB.é . O+. f8 I.
(30) j. "#C
(31) 1 " "! " 1. *
(32) %d $. §. ox npzf shuwrAnp~ {h h zfh h w|x¦3~x|xI¦qfuwz qf wfqfrph z h Ð( xohOhs¿Àz¬ mHnyh uwszIuuntx|¦{f{fwh wx|~w~{5qfx|wh unpx|zsrpnuEËVh u¢Äh h z 2s|z ª Î SÆhh ryzx}~nynyuu&&..svsvuuwnpnyx x S4h x|rywx}n nyx|uzHuws| r:x|gi xo{5x|x| zf h nyzzIsvu.u~h Ë ¥ oÎ Smo{5h h uw npn °5s rAcfxoh sxIu svnpuzsuxIh z~u.szHu {fwh ~w~qfwh ª Ð(ÍÏh hOHsqz(svbuwnyx|xIuwzs|rL xHh zfh ¿Àh Inp h zHuw~ Ь xIsIzH.¶Ich zouqfnpg³¶|hЬh s|.czoqfg5h bbqfqfwwffqfqfrprph h zHzuÆ hЬ{fs|.x c qzo^qfugnpx|5zh u h g bÐ(sqfhOgiwsfznyqfzrpwsh szHuuSh S.xs¦S.z s~zuu. rLsuwnpzorLz&qfzoguwqfh g5zh ~5x| h Ð(hOsz(~u.svuwnp_uwh gi{h wsuqfwh x|zo¶|hO^unpx|z¶|h ryx} nux|¦rtsw|h ~uwq^uqhO~ Ð( zxIny }glx|nygiz{l{fhOwrt~h s¯~~w|ny~h npry£fhrpuh~cf{fnt~.{f¤ohOwszfh h s ~wnp zf~ nplzf³ws.usvh uwh SmoxIh ryryh x}zfx|nyun s| r nÅ: h np~ww~h nyz{ sh unpx|h zu¢Äwsh uh h zucfh h Huwh wzsrA~uwh s|g~ bÐ( xxIxIu.glryshOr{qf hOrtnts~~~~ nynp{ x|rysvh zuwny xIntqz~^~.unp{svnp¶ouwsvnh uwunyxIz&xI.hsv¿Àuh nph zHu bÆqfowzfsqfgirph ntzH u¶Hnt~wxIz xI ~qnyu unp¶Hnyu& x|h¿À nyh zIu ) &¶ont~ xI~nu 6 npzfh gsuntƶont~ xI~nu ÆnÐ(yhOgiszh z ~nph x|zz~rynyhOu~~d.svuwh_x|¦3~{fwh s 6.
(33) . ¯¯ÉÉ. . , - - ) . . ')(. Ľ ¾ÇIÒ !'£½ -¼Ç|Ò 3- £© É - |§fÉ , - ÑfÒñÊ , -«ÑÒôÊ ' +* 4. ,-,/.. 10. . 2-3. 5. 576 98: ;<>= ?8
(34) A@ 5 CB 3
(35) D. 3. D. . ). E GF. H. I)6. J J>K L. J K M I. ªª. 6. N@. . O. O P. . -. É. P . R. .
(36) =. . ª «- ª <ª P Q. ! #". &%. $ '. . . sz . 6. moq~ np{}u.~£¦´x| uwcfh_¦Vs|~uh s|z ~rpxv¢£h ĵxv¢~. Ý´ÞßAÝáà.
(37)
(38)
(39) !"#
(40) :.
(41) $( &%[ ³
(42). rpnu)¤|hÆnt~ ~qf¢£{5h h rp².~¤oxIzfzfxvnt¢ z#ginuw }cnpsvzfuluwrpcfs¯hÀIh ~.uw~ s±z zs~ q .c&§Àcf©Ènp|ªcgi~{5x h h h rS¦Vµsxvnp¢r ~~ u¥Ix(¦´{fxIgÂwh s)nt^giu)x cf np|h crpyrynp#zfl x|{gixIny{fzHwudh x~w~¦np¶ofnprph hl¢µ¥Hxvu¢¢£~ x ¥ sI z¾~h {5¶|uwh h cfryxIuwh<{~dhhOcss¯w¶Iryuwhx<uwx1 qf8Áwhh)~xI uglcfx|zh h¨~n gi hh °x w h nyh h rpz~ 2²¥nps h ~ s|h ry pzh qf~ h(nuux<¶v sЬwnp!sIs.ucÈnpx| zzo qfs| g³z h sÀ À ЬhÅ:s|h . c uw~ zo
(43) #¥£qf
(44) s|g{f p5 { Ïh hO¥ sw ôh nyÅ5z Ï¥hOD^ u g± W¥s|nyczfs¯rp ¶|h¨npz¡5h uh cfz h {5~uwxos|x|z i s|{fwh gint^uwx nyxIh zÈrt~ x|± ¦uwcfxIh gi {fh hO~hO~s|npf~hnyrpnyux|Ȧu cs|hEzÁ~s|{f^wuh s x| z«npzf~#h ¶|.h svwuws|hrx|¢d¦_s¯ ox|~iginpzÁ{fwh uwqf~w~npfqfrphryh zginyh# onpglzfDx rps¯h Iryph n zf.~ ¢ 2®nyunc u g Ьss¯xz#< .h cs|rt~rsuwzfh x|lI¦)h)uucfucchEh#h s|° zf.ntnt~~w~u~x|npu{Iwsvh x|uwzf{onyh xI®wz#sxu.¦npsvx|uwuwzÁcfh³h¬cszs¯ ¶I h h#ouzfcqfxIh³z r {fh ~lwwh ry~~wnpuzf~wqfh h ~wh ~iu scfnpz h®r s uw{5svuxIuwc~wnyhxI~npz¬f rpnuh#Å:h qnpg gi~nyxI{npz¡zExI.u.uwsvcfsuwzhÀh §ihQx|¦Æ©<x|¦)¤oªinpuzfhcfhHhQuwqnps°u.h np~x|zuz h wu±|¢£ xu ± uwh s|cfÅ5z hhO ^ qu.x|~ ~gi±qs| {frywhOph ~wh c~zInps¯fu ¶InphÄryn h u5¶|&h h h ryzlxIxI{f wgish rph nyufzHnp.uwx|sv~dzuw~h glqf |x x|I zh h ~rpquÄ~ zfuw nc¦´xÀxIsvu zfg xx|uwu cfuwh h szd¤I~gihnyunyh z¬.uch sIs~ uzfÍûntxI ~qfsIg~zH~ hOu ~ u± scfbdz&h cf5 h£hh {fznp~zHhOn¶Iu~x|h rpzH¶||uh.{Ls s|±{ny h h zIx|3du np~npnpzz}¦´µ~x}u.qfsqh zz~ h h| h ¥ xIDz x|w¤}h z~L~x|nz u& h |z.s~n unpÆh zH¶¯u s|hntÅ:svuwh nyxIuwz ~h Å:x|h g^u.~Anyzfnpz)h ~q¢ {nyh ucw~x|uwcfzfhntnyµzfxvµ¢qfh ~Azs|hh²~xu¦npryuIcfhhOÐEh zIs|u.s|cz zH qcgs¯5¶|hSh 5± h h zh ~w~h zHuntsrpy ¦´§ox}ÍÏ ªÆqgi~h x xIh r5z¦Vs5npx|r ~[qzux³ swh À{fwrtxs¯|h qw~ h uj cf W¥hÆ ry: xI I±²s¹ wnyugcfgisvntxI drps¯ x|¢ÁzHu5wh np fsq}qunp~x|hz x|¦ xI zfh zh ~nynyz ui ¶¯j s| ¢£ntsvsIuw~[nyxIuwzx~ ±~cfbdxvcf¢ h_usczss|u ry}u~cfnph~ x|bd¦ ch_ j qfxIh_z{fwrpqx|{5hxI ~h uw cnpsvz uduw cfj h) W¥}ª nt~ÄÍWh uIxiqsvs|u npx|x|zqzInt~du£¦´hOx|~ {5 x|h zz~~npfnyuryh_|¦´xI.ds unycfh ntzI~ u.{f~²wuwx|cffwrpx|h qfg I±cxoh ¿ nyh zHuw~d» ½ x| ' ½ ± x|rpyxv¢ npzf uwcfhÆ~wsgihn h s¥ ¹ qf{5x|ny s|z ntsrts : L~q||hO~uwh ux³gix n¦´luch nyÅ5q~npx|ziuwh wgÔx|¦Lucfh µª uÍÏxvh ¢ntH~ ~qh srp }nyu¤Is|npx|gih³zAginy¥}zf~nyh }x³ nyzfuwnyczsvurtu s¯c| hh h .{fz~ ~± hOnu~bd&h zHc|udh³.s{npzfsnp{5nyh uh ntzHs uwr²~duw.xs|cf¢ xIhnpcf nphxI.qfc(¢dzHs|h u H~h uwuh xzHs|urpqs|~~zhq.hs&cLgl±n x hOs|h ~rS xs¦£z§À©<hs|ªl{fu{forp{nyh h ±%u xlx|¦´zh ~h)n ~h cwh nyzs uwuwcfchsvu {uwcfxIhi{h h uwrpnyshOu~npx|xzE¦Suw5qfhwuf¢£qfh rph h zDz »h½³zfs|hOz suwuwcfcfh³hi xh uzHcuh h Æx|xo¦[hsÀ¿À~ h nyh ry¦ázIÍÏu.~~nygixnp¦²r s|uwcfhigiginy oxnpzf h rSrps¯nt~Ih zfOx¥u nyuÆuc¢ hinpry~wsgihihi~cfs|xv~_¢ npzz uw{cfhxI{h xHH~qfh np rynp¥fnpwz#nyqf¢ g cfnt .x|c(zuhch³x|¦Æwh s#rtsv5uwx|ny¶Iqh)z ny gisw{5®x|rpuws¯s|Izh h)±<x|¹ ¦Suwcfh h³rtsv{fuwnycfxIh z zfx|npzgi h h z{sÀh z npzH ¶Ih x|zHrpu¶onyxzf¦&uÐEcfh(s|.gic¬x zo qfh grt~l5¢ h nyrp szh ginp zvh x zhO ~^h nuurph ~ s|npw.zHh²s u.x)svnyh uwucfczIhÆu.h ~ ¦´x|~sh w{fzg{5~h qfnyus|rtnpsvw¶|uw~hSnyxIuwzirpxh suuwx³wcfrphÄ °±¶vz s|b ryqfx&zfhOhOny~Arpyx|hOq¦f~~~wuwuswcfwsh£luh xIux|zcz ~hu.snnpuwzHglnyuwxI{5~ z¥¯x|~²hO¦´uwxI~s|q[zruwu.qfh~Lw¦´x|fw¦3x|qfg¾urph cfzHnth ~ u£giH {fryqfxHnphO~~ntqf uwws|nyxIhr|zAxIuw¥xnps||wz h npz{fw¢ s|x ~ny rpoqucf hhh uwcfh uwh z ~dx|~h w¶|h npz¬~npgi{fryh_µxv¢~drpn ¤|h~q{h w~x|zfntƦ´h h~cfhOs rts¯|h w~ ± !#" * ) $
(45)
(46) &
(47) Â
(48) x|(uwqfqfryh zHu¬µxv¢~ ¥ Ixv¶|h wzfnpzf h HqsvuwnyxIz~¬swh®x|}u.snpzfh ¦´xIg uch<s¯¶|h .sIh $ s¯¶onyh ÍmHuxI¤|hO~ h HqsvuwnyxIz~ ± bdchglx h rypn zf¬x¦ xIgl{hO~~nyryh³µxv¢Ôh HqsvuwnyxIz~ nt~x¦áuwh z®gs hi¢ nyuc®u¢£x¤onpz ~x|¦ ¢£h s¯ }¶Ih {fh np|.scHhOI~uw~²h h ~ ucf23s¯hƶ|¶|qfh h rywzfx}s|¤o |zfnhuxvÀ ¢ ¢ z&x|cfgi npx|ry{hwxIh sEzfrph s zHuu.nph x|~ÆozzfË ~ xI¥I)Ïr s)Î^¥o~uuwqfs¯h wgi¶|fh qf{wrps|h h w|zshluhqfnp~wgih³qx ~Ë hÆh ÎÄr¦´sntx|~[z w h Huh x|qfzuwnp~swnyhr:uL¡h ±zfË h bdowÎcf|h¬sz Ë rp³ xI~ÎÄ{qfs|hOh~h ~¦´x|qf dws¯hE¶o wËh hoÎgzf± xIs|rb~w ~x ~Í . . *. . %. :. :H. :4. : . ßßÃòAçCB.é . .
(49) . "#C
(50) 1 " "! " 1. ~ uwh ~w~h ~Snt~²Iny¶Ih zio£x|q~~nyzh ~ ~²sI~~qfgi{}unpx|z 2£© ) - ) S© HÉvÓ }§ ) d) ¢ nuwc - '
(51) o§ª uwcfh£h f ¶ont~ xI~nuI¥§ - ) ) ucfhÄuqfqryh zIuS¤onpzfhuwnpÄh zfh Isz ) 9- ) © Ó ) uwcfh.svuh x|¦~u.snpz ± bdcfhq~h_x|¦uwcfh§³©Dª)glx h r Awh ~qfru.~dnyzuwcfh ¦´x|rpyxv¢ npzf~hu x¦3h Hqsunpx|z~92 ) - Ñ ) ) - ) ) © Ó o§ ) ) ) ) ) » § ) © Ó }§ ) - ) ) ËOÎ ) }§ ) § - § ) ¾© oª . ) ) » oª )Vª - ª ) =' ½ §ª ¾© ' ½ ª § » ½ ) ) ) ¢ nyuc - © ) ¥Æucfh®{fwx q^uwnyxIz«uwh wg x¦i§ sz uwcfhDux|uwsr h zfh w| h °zfh s|~ 2 >- '! lÇ¯É ) ) § ± bdcfh²gix h rInp~ Iqnuwh[~u.sz s npz)xIgi{fhO~~npfryhuwqfqfryh zh[glx h rypn zf ± x| #¦x|" sh uwuw~s|¤Hnyn rt~S ñ s z ± h o{rps|zsvuwnyxIz~3x|zh wzfnpzfÆucfnt~Sgix h rW¥uwcfh hOs h S szlwh¦´h 3uwx_ucfh~qfw¶|h ³suntrph $ %
(52) .506 $)(
(53) Â*
(54) &('*) + ,.-0/21 -4365.798 :<;>= ¢ q¹ ~ny hOuc#~_xIs(u cfnp~hlzfhudh }uwxxnt¦£~uw4gih qzx s hzfh rpx|ynp¦²zf cf¬nyI@? cxI zj W~¥Oh u.zuwscfzH~nhÄuwu~_( qf¢ |cf.wsh nt.zH cDunyh gizIh u.xgi~ ± s|h nybdryzpnycf~ÆzhlqzxhO.¦fs|cª ~sÍÏx|h zz¬H|qnth ~sv uwuwny¢ cxIsvzcu_sv{fuwuwh cfh ¶Ihi~h h Æ~zHuwuwus~cfz shi zsµnp xvz ¢ xI§2Ægl©¨uw{cfªisvhiuginpqfxnp~ryq n ush rr ¶vs|ryqfhO~dx¦ucfhO~h) x|z~uws|zIu.~ ¥fsI~£ucfh &swh h gi{frpxv|h npzuwcfh{fwh ~h zHu ¢ÄxI¤Às|hsI~£¦´x|rpyxv¢9~ 2 '£½ -¼Ç|Ò '£½ -¾Ç|Ò !»½ -ÇIÒ Ó !A» -ÇIÒ Ñ ' - ÑfÒ Ñ rt s¯x|| h dxIryhOzs ~uws~£zHuwu x³ uwh cfzh ~ny¦´ux|rp xvµ¢ xv¢nyzf~ l¥ouwcfh rth svurpx}npx| z sr:2 h Iqnyrpnynpqfg+ x|z nuwnyxIz&npzuwcfh ¢£s|ry:wh InyxIz&x¦3slxIqfz s| » ½ ' ½ © ' ½ C '>;-¼Ç Ë>|Î B P E GF 3. K K FK K. . . 4. 8. J F=. 8 - :/F)@. @. $. . @. 8 4. @. =. 8P. $. . @. $. $. $. H @. . 3>. P. $. K K FK K . @. P. -. @. 8 P. $. $. . . $ F. F. @. $. 3. $. J F. $. /F. . . E GF. KK. . . P . . @. 4. KK . J GF. . @. @. @. P += E. 3. F. P += E GF /F @8 O @. P . @. $. . H. O +=. $. 3. P . @. $. ?. ; . . P . $. @. *. . . 0 . 4. $ F @ =. , ,. J GF. . .. . 2-3. 8. .. . .. . .. 2. >=. Ý´ÞßAÝáà.
(55) uw¦´ xIx x|ry£pxvh£¶v¢ suwnpws|zfnp¤|³s|h fwz³ryh h rtnpsvzl uwh sInyzxI z~ nyx|u qfszHzu xI±qf h z¦Ih s|wwsnyi ¶Inyh rth s¯ zH|¥uwh ~.x~ ¦:¥|w» h ½ rtsvsuz npx| zEn¦ËWu|cfÎ7h n
(56) Å:q~nyxIz³ *x|¦:v§³¥fsswz hÄ&zfh |h rpznyI~nynyuiryhI|¥¯.us cf hnph s|zHruwu.h ~²wczs¯sv¶Iuwhh » ½ ' ½ © ' ½ C ' -¼Ç B gi~§ocfÍÏxªxv¢ glh npryzfx pny¸ zh ®urcuw svx)x|u zwh ~ uw{fh s|wzzHx ~uw ny~ uq±È hd¹ Iuww cfs hx|nyrph x| zHHnpzfu#s#whnuwÅ:uwcfx h gi4uwnp~Qdqrts|h s¯zfzH¢¸u h xQC¦A snpzH u xÁxI? gluw{cf jh¡hO ~ u~x|cfnygint~iryh {hs5 }ux|{fnpqffrtsznyrpnpnyzus~³w³uwch rth rts¯sv|uw h nynxI¿À±z ~zÀcqfnyr~{uwqnyhO.5~icihxuµ¦_¢£xvh u¢h cf~ z h ¥ uw{cfhÀhO~uwh h zIwuig ¢£x|w¤® uÉ x¨ ~ouwq É <ginyÉ }nyzf ®frtÉ s¯|h w ~³ ¢ s|nuwzfc¸zfxrps|ulIhhzfh h z|rp~h nu^<uwh L¶vs|± ntbdsvuwcfnyhxIz~w~ s± gi4hxvn ¢£ hOh sE¶Ih ntO~¥²q~~h h r¦ ~nynpz ginyurtcfsh gis|ryxIny }zfnyÀzfuwcfrps¯hlIµh .xv~ ¢ ± xbdzfcfx|h u[x|h 5¦´x|h wlh|¥Lh Hnyuqfnpgir nyfs¯¬wnpqf5gÔh~ qx|~z {5 h nuwunyxIh z ~ u¥ c svnyÅ5u_qu~cfnphx|z&sz sszfrpoz~xnt~Æu[5x|¦[h¢dzfh s|rprph µ^xvuw¢h ~Æs|nt~_z zfxªÆu¶¯¶vs|srpnpnh ~ ¦´xId¦´h h~cfhOsdµxv¢~ ± bdcfnp~np~dh }s|ginyzfh nyzuch_zh ou~hO^uwnyxIz ±
(57)
(58) !"#
(59). . 8. ' . &('. . . ' . '. . > . >=. . . . . '. @. . .. '. . . '. . '. . . . '.
(60) - : 82:*;>= ; 8 ,.- .- = : 8 8 5" 5 !<-4= -;# -8 :<;>= . 7. :<-4=8. 7#= . ; - : !*-. ~ qh q.~w)c«wsnyz5npgh h¨¢ nyntz~ ¶vsux|x(rpgiqfhO{f{f~wwx|h s|{5~w~xIhDny~fhrph®x|s(gigi{h nsrp }sunpunpzffnp«x|rph#zDrts¯¢ |h nyh uu.c«¢Ä~h uwh ¢ cfzDnh®uwuc hcf }hÀ nt~h ª uwzÍÏnyh~zfnyH¡uq suxIInpglwx|s z®{ nyhOh xozH~h~uw¿Àny~ ¥ nyrpnps|nh uz zH¡u.~ gi¥Auxcnpz¨h z¾h x|rt~ u± x h ÆD uwhhDx¬uh .{fcgiwx|xInp{5~zfhEh h¨wurynyx ¦ ¤Iwh h rth sv{DuwnyxI x|z(zu~cuws|szIuu u.s'¤| hO!~' npzH½ ux!' sI½ x|» qf zHu_sz ~qfu~x¬x|zh np o{h Å5hO~hO~^u.» ~³½ Ë npzDh zu~h nywug¬~¶¯s|x¦dntsvxuwuwnycfxIh z)~.Î xoshz ¿À ~npqfh zH{5uwh ~_.~uwx|x¬zfntx|}hu.Å:snph zDuws ~ Ë>xIgl{hO~~nynyrpnufΣsryuxI|h ucfh ± Qh) x|z~n h duwcfh_¦´x|rpyxv¢ npzfÀ§&s|z ªh Hqsunpx|z~ 2 %$ § - § ¾© oª '&. » $ ËVIÎ ª ª ª %$ ª - =' ½ § ·© ' ½ § Hª $ »½ ¢ ch )²whs|rp & x|np~£giuw{fcfwhh ~w{f~wnph f~wrph~qfgiwhxÍ nph r rts~ uws pu np x|z uwh w g+ nyszz rpq ª [=h nt~£)(Cu c h u xu.ush r g np~i~w~xnp{¦ suxInpx|glz {± hO~~nynyrpnu¨rpn ¤|hucfh C!"
(61) ixIwh rtsvuwnyxIzls|z uch
(62)
(63) ³uh wgºË+* 3- oÉÓ -,Ò /. . β¢ cfnt.c nt ~ ²{~s|qf|u)Ix|h ¦Ä~uuwcfuchisuux|uwuwcfs|rh ntny~rt~svnyu.{svsvuunpx|npx|z z® .npsv~wuw~nph {± subdnpx|cfzEh¶vwh s wh nph zH~u rpn ¤|h h ¶Ih rpx|0{fgisz h zIu.u~cfnph z®h ¦´x|x|giwh){fnywz#h ~wgi~nps|fzorphi(gl~qfx {5 h h .rp~~ xI zf+nt W ¥ uw qfx|wgif{fqfwrph h zH~w~u[npfµnpxvryn¢u|~[¥ ¢ ucfcfhÄh w{fh wh ~w~2qfw13h 1 npÇr suuwcfsvntuw~ÄnyxI z x|zHuh uwg·npfq}¶vusnpwx|nyzihO~:uwryx np¤| h nt~w~np{¥¯svfuwnyq}xIuznt~Agzfs¯h l|rp5nyIhnyzryh hS|¢ rph cfuh h zL{f± w x x| Äq¢Ä^uwhOnyxIsz¤ bdscrthszg h s~npzÀ hnp~wÅ:~h ny{u£sux|np¦x|z xI±3gl¹ {xIhOz~~~nyh Hnyrpqfnuh Iz¥I sIh~Änt~[~qfuw|cIsvh ud~npuzh gHslzouwcf~hnuwzoqqfsvgiuwnyxIh wznt~ ¥Hsuwr:cf~npny~Äg³uwqfh rpwsg unpx|gizs¯~[ix¦5m}hÆs|¢£¤vh s|s|¤lu pxo x8 ± gs|z s¯ x¦ h) wqh z q z h wrpnyCzf5h u p|c s 5u us|cfzlhuhcf }h {h h ¦´x|npgiwh£h 5zHhuws|s rsvuhOuh wglh sI{f~uwhd~ xuw¦:xÀuwcf.cfhh .¤&h Huzcfx|ntr~ co~²o~{5uwxh u~wc~h u~h np~z~s|xI²h npuw~h x.uwcfxIz{onp s±rpy u .. .. -.. P . . . '. K. . P . '. @. '. '. @. . ; . . @. . . . . K. #. 6 ,. 5. 5. . . 5. ßßÃòAçCB.é . K K. . . P 8. !=. .
(64) +. "#C
(65) 1 " "! " 1. iuwg cfn¿ÀhOnt~Ss|~hqqfÅ:rh u h ugiuÄh sczHwh uwh w~[h¬zfnyxz np~&u² pI zfhjx<u[ :s¯s|rp¶vz h s s|nprt ps fny: z rp Lh ~± npq bdsv|ucf|nphOhx|~z¸{fu[coux|}c¦ ~snt.u£ cs|~s|r}qzf|.|c&qfhOhO~is~z&~nyh z¸h~²Å:quwh cf~^hhEu£ nps~ÄHznpnpgl~uxcf{5uwhx|xIh{Huw }s| npzH~uunyznp± zfÐ( pOxgi Ïx ¥ h rt y~Äh Ort~Sh x|{f¢ ¦hOuwcf~cfnph r h h¬zH°uunp.zfcf~hu Igih nyzf }h nyzfwsunprpx|s¯z(Ih s.w~h)¢ nyh ucDu.snpx|zfzry ~u.HsqfzHuh ~unph x|zz~snufIrp¥h ±uwcf4h ¬xv¢£ch s¯¶I¶|h h)O¥{fs|w~x|uscffh rp¢£~h x|wgih hluqfszfhnpry n u(uwx&uxxIglh {f{wq}h u~hh zH~uqf{5|h rpx|.~xIszfrpynt uw~cfcfhDxv¢ hz¬Å:h npz#^u(sÀx~¦lnygix|{fgirph³{f wh s|~w~~hnyfcfnpxvr n¢u¡sx|zEz h Å5uqfhO^wufqfsvrpuh uwznp fhQq}uwnpz h giuwxny }ny zfntÈ~~nprp{s¯svIuwh ny.xI~ z¬± giÐ(s¯x|wwh#h {f{wh hO~h ntzH~h uÆryIs|¥zEnu¬sryugh .s¯sv¸uwnyxIz h x|npz(¦A{f¢ wcfx nt .qc ^uwnyxIz ± x|Äh fsgi{frph|¥oxIz~n h ²uchh Hqfnpr nyfwnpqfg x|zhx¦s) x|gi{fwh ~w~npfrph5x|qfz sw³rts¯|h -«ª xI © . . . . -«ª <ª 5¦²h¢£whh ¢ hw }n{fuuwh h z(~w~ s|uw~ cf2 h nprtsvuwsunpx|z nt~w~np{svuwnyxIz¬nyz(uwcfh)¦´xIgº ª -·ª ¥uch{fwh ¶onpx|q~ h Hqsrpnu s|z ª -ª C '§ Ç © s¦ªxIÉ gl{nthO~~~zfnyxuryh ¦Vs&np~w~¦´ny{xIsg6unpx|Iz#¥ ux|cwh#hO°^zuwnysxIr_zA¥Lh rpssz#unpx|z«hl~qfcfz xv ¢h w~~uuwxocx svu sI~ÆsixI¢ wh cfnp.unpc x|z(¢£uwsIx ~À'npzI uw±h w {fz#whgiuh ny }nyzfs| ~ rtDs¯|oh |wz~ s|¥Ouzcf~hd¤Hn:hsIzqnyrpnynyhnpqf g ryh ~Äx|z ¢Ä xInuw¤nyxIz p nt ~3 5zfucxu3sud¦´qfª ry°-«rpyh Ñ ÒôÊ¥|h x|¶|dh ÑfziÒ svuSrp±xv¹¢ ~w~~{qfh gih Lnpzf± ³4uxvc¢£suÄh ¶Iuwh cfOhÆ¥vn{uSntxI~{¦´xIx|qfuwz nyxI z¦´swrpx|nug rpnp h zÔx|sIz~u~u&cfuws|h HzHnyq u srpnyntnyzH~ uwusvzfh uwx|ny{¶Iu h h rp uww±svs|uwg nyz#xIsvz uuntcf ¢ his|npryhrp&E fs|5sglryhÁu{h qryhOh ~~Æh {o#uhOx~ h x|zIhgiuw }h {f{f rpwx|h cw~wh h¡~wnph|fu¥Lcfnpryhh n u }ny|Ènt¥A~uwunyx|cfzzhÀ~~wh gisIgixqh hzh rts ~ h z~®ss|ryryu}npz2cf~xInp~ qfucf| h«sc zDH sqfrthh ~qfqurtnp~svx|h uwz nys|xI¥fzsvrp~ hu ± uwbdËVzfx«cxh m}uw«h s wnp¤vzoªHs¶|¥ x|¢ rpC¶|cfhQnt.ucÁc? h¨¶| ph {f nyhO°xI~hO~~qf:wuh hcgÍ hQ snpsrz!s5uwxv sv¶|uw WhEny¥_xIzÁª uwcfÍÏh unpH~¬h qgush uwnpg x|z& Îi ss|sz·z z h s<uc h®h x|giuxIx{fgiu.ws{h r ~wxH~~ nph fnt~wrp~h¬npnp{zH{svusuwxÁnyxIuQs¸z·Ë´¢ ~ª xIcry± nph .zfc«x|¹ n z h sx|h r {~nys|zuxu 5¢ hinyucgix h rph Î ± - ЬszoÇ ¬gix ¦´h qfrtz~i^Ëáu¦´npxIx|z h fsgi± {frpЬh x| p w Ïh ¥ xv¶| h W ¥ ¥ u ´cÎÆh c s¯h ¶|°hzfunycfunphlx|zȦ´xIxg ¦ uc2 hª h f- ¨¶onp~wxH~nyu®cs|ªH~ ¥ uwxE© /5. h&. w. .áh ɧ xIz~n h h np¶|h LhO~S± ¦´wbdx|cfg hÀh qH~qfqnysrpnrÄfryxvnpqf¢dg Íû~{h xIh z ~n ¦´x|h wwg sunpntx|~ z'>~ ± bd}§chÉvh ª H± qfnpbdrynpcffhÀwnyq¶vgÔsrpqf hÀszx|¦ zf'>xv¢¸®5n hh hzH }uw{fn°whh ~w~h s| ~ sI~ - ª [npz¢ cfnt.c¬ª - ª ª ± bdcfnt~ gix n°5 svuwnyxIzrph s ~£uxluwcfhh rpsunpx|z 2 - ' }§ É >ª ª bd'cnp~¡- ~c©xv¢ ~¨. . u. .tcÉ|sv§ u uwcfnt~&h ~uuxnpr u.sqr ~h Lnt~±¾~ny{ sv¦ unpx|npz+r suw~scfunpxIx|qfz}r Í nt~~h ny{svqu~nph x| z¡npntzÂ~&~uwgicfnps|~ÈryW¥£wh urtcfsvntu~Ànpx|wz h°nzf¦¬h uwgicfh h zHu&wh grtsvs|uw¤|nyxIh z ~ z~x|xgirtshw |s|h q}unpnyx|Å5z(h ~h cfzx|qfh rc xvh¢Äh u.¶|s¤|h Oh ¥:z ¢ ± nuwcDucfhh ont~unpzf(glx h rp~ ¥ª szDcs¯¶|hi~np|zn° szHu¶vsrpqfh ~ ¥sz ~zh ry¦áÍÆxI ~ nygih (npr s|ux )gi.cfn }h .npzf¤ ¬urtcfs¯h<|h I.h ~ zfnph z®ws|urycfn uh ¶ox|nt¦lnpzfwnh urtDsvuwxnyxI¦£zu~ccfhÀny{g~¬sv }h nyg³u¢Äqfh gh z¾x¦£uwcfuh qfwfxIqfzrph ~uwzHsuzH¤ou.~¬npzfhxuw¦inpuch h<zfh giw|x Q h srtw~ h ¥ x|z~n h wh L± bdcfh¬gsnpz¡n hOsDnp~iuwxD°z xIz nyunpx|z~luwxDh z~qfhuwcsvu&s®xIwh ulsrtsz hnpz¡ucfh h HqsvuwnyxIz¦´x|dª_nyz&ucfh xIzfh¢ cfh hucfhÆuh g~£swhÆ~nyIzfny° s|zIuO¥Izsgih rpinyz&ucfh h zIuwh £x¦Auwcfh_rps¯Ih ± h u3zfnth ~w|wh nps~Ærpyh xI zu~cu.svsu3zHunyzls~rpx|qz.c)iµucfxv¢h~ µ¥xv~¢h ry¥¦áÍûs|~z npgi nyurtscwsnuu_ucnpglh{rpxorynp h q~~ucx|sv¦3uuucfcfh)hdg{5sh s o¤npg¶vqsg+rpqfh£x|x¦²¦f¤uwqfnt~wfsÀqfrp~h uzHwh us|¤oginpzfryhnpzfuwnph ± . %. . . . I. ". N@. '. 6. I. 8 5. '. +=. 6. 8 5. =. 8 5. =. . . >. K. . . K. . 8. 8 5. &" . +=. = . @. 8 5. +=. . @. 6. Q . 8. . ". =. +=
(66). . # . . 8 5. . . #8. @. 6 =. . . >6. %. Ý´ÞßAÝáà.
(67) sЬ }x|np~dwh x|xv¦¶|h xo xI¥}~uwnph zs|sgluh_rpn nyzfgih {f~rps|nyhO~h)2 ~u.snp|cHurpnyzh ~ ± cfxH~npzfiuwcfnp~Æ{s|uwnp qfrps|~uwhOsgirpnyzfh)sI~ rpx|zfInuwq npzsr § § $ - Ñ sz - Ñ ¦´xI - Ñ ¢ z¡nyu|ch nyzzfh gl.shOrWs|¥S~nyqfuiwh nt~lgi¦´h x|zHqu£z sI npqfz wsIh }I{$ ¥ h npgint~dh zHsuw{f~¬{ËWx¯mo }h nphgi ¦´sx|uih ryh i }s|xIgiz{f~u.ryh
(68) szH pu sv u£¦´uxIcfih_~¶oqfnp ny~zfx|nyzunpx¦h u¦´h cfwh_h zg svhO }Î)nyg³ucqfsg u ¥ x|x|¦f¦¤¦´w± npbdunpcfx|ntz(~3snt~d{f{fryx}w x¯s }unyhg ssunpu x|zucf¢ hnynprpz}oµhOhÄ^qu~npx|h z np{5zx|uwnpzIcfuhÄx|{¦hOuw~cfh hzIugi h h s|wznp¶¯¶Ish urpnpxox|z n±u& u{fnpgix|{f°ryrpnph h ± ~uwcsvuucfh£gsv }nyg³qfg uw~cqsv.c¾u¹ np~_szDz¾~qfucfIs|h|~w~h q~h uglzHh u{fh unynpzx|x|zA¦[ y¥ uw: scf Sz his zgl ny }x|s|nyzzruw~cfn x|rth s¯qw||nyzfh c È¥L u{nt~c~hx np{ svqhuwny°uxInpzzEx|nz®uwginyxIsh z·z s|D~x|qf¦ wh nt~gi~nph {- zHsvu.uw~ny'xIszQw§h sw Évhlnyª<¿À{fs|zqfxI{ryu xI¥Lª nyuwuÆnyxI- ntz~ ss|r ~w± ~qÁnygluEnyhunpc ~ ~u.sbdnp|cfcHh u¦´h x|¦´wx|¢£wh|s|¥A {uwxIxÀ{~xIcfxvuw¢«nyxIzuscrpsnuu ¬Éx|¦£§ {x - q'unpx|É z¨¢ sz cDh wh npn~w~npt{~dsuucfnphx|zDuwqfnywgif{fqfrprpnyh hOzH~uduw¦´csvnt^uuwnyuwxIcfz h± gsv }nyg³qfg x|¦ ¦´x|w¦ nt^unpx|nygiz {f rpÉn h ~d uwcntsv~u rpuwxocf hsvuwgh sv }x|nyz(g³uwqfcfgÂh³x|s¦3 }npª~ x}¢ ch qfw.h ~ svud§É uch)~-·s|glÑ ±h bd{5x|cfnph³zHu co¥fH¢ {5cfxuwnt.cfc(h ~npnt~£~uwxcf¦²hsnpz}¢£µh h s|¤&unpx|Iz(ws {5 x|nyh npzIzHuu x|¦uw cfzvhhOgi^uwh nyszfz(i¶Iuwh cfrph xo~ hnu{fwx|{{5x|h °urynphIh ¥o~£unpxozIx uw± xEËVHÎ[onph r ~ 2 § ¾© oª +& - Ñ » A Ë´jHÎ %$ ª - ª =' ª ¾ ª © 'Ľ § oª ½ » § s|¦ ryxIzf sz ± ª_bdscfwh hd {fh wx|np¶v{5svx|uwnyu¶Inphx|zs|r}ªvÉ¢ cfh $ zÀnt~ ~h sry{¦áÍÏ{f~npx¯gl } npnprtgswsvnuu³h np~²osI .2 cfnph ¶|h ¥|nyu[nt~[ ryhOs3ucsvuĪ_~cx|qfr i h hOs|~h $ $ ª ~{fx|zwh ~s n xIh nyg zwh ³ uw.cfsvcfh uwh h hI&h¥5°s|zfÉ z &nyu npx|q2z ~nyxzf¦d&uucfcfhh³¶|xIh rpsuwunp npx|nuz(Q{fuwcfx|nt.{5¤oxIzf~hh ~w~ o(¥ s|{É s gixH-~.cfxIq¬Ész s|ry xIzfxH¬~cu¤|cx h ôv~uj w Ah ¦´sx|giÆrpunycfzhh & - Ç . & ¢ ~cfcxvh ¢Áwh uwc.svu 2 nt~duch~{hOs npzf.svuhx|¦uwcfh³~qf~x|znp cs|r¦áÍphuÆ¢ nuwcEx|z~u.szHu h z~nyu|¥nunt~ hOs|~Àux ª © Ǫ .
(69)
(70) !"#
(71). $. '. Q . 8. <=. . . . '. Q . . Q . . '. . P . @. . '. . ; @. . P . . K -K. @. '. . . . . . <. $. I. I 6. . $. . $. J. J. $. J. $. 3. J. M. J. I. I)6. . I. R 8 576 =. . I. ßßÃòAçCB.é . . I. $. . 3. . '. J. . R 8 576 =. '. M. I. J.
(72) 8 "# C
(73) 1 " "! " 1 uw zHcfuwh xu¢£ qxl hnyzHqsvuwuwcfnyh xI~zh ~ ¥Hsuw{fcf{fh wx¯¦´ }x|nyrpgyxv¢ sunpnpzfx|iz~wh nyzHrtsvuwuxinpx|ËVzjHÎnp¥~h x|rpny}giu.snpznpzfsvhuwny z2 nÅ:q~nyxIz³x|¦uqfqryh zIuSh zfh w|5hu¢£h h z § A» ©ÈÇ © ÉA» § }'§& »½ Ç . £ ' ½ d © £ ' ½ Ä © É|§ I¹ w§s É° .np~h uzHx|u nygi xo{5ªvhOx|~ÆÉ uwzs|xzI¥Luu ¢ s c{fnynp{5Å5.h h c¨s|h Æszwh h ohQ{ h ¢ ryntwnx(uwnyuc«srp rpx|u± czfbdhDcf uh³cfs|~hÀwh#h sIx|x~¦)zxIzE~5n x|nt~h qwzuwh c svsu_~wuw¸uchOrph³ss¯giIuwh h rp.nywzf~Àg h ± s| z«b}É¢£5 xhDx|~ntu~h cfh s|h z ~w2®~h x}rpu h cfnpgish uh h zH h u.z~¢ ~snynyuuwc h {x| ¦hOu~cf h h¨zIu §¡± h Hny.q~su urp|npx|¥²z uw±¼cfh uuh ¶vsgzfntx|~c¦h u~Àch¢ czoh qfz gih ws- ux|lÇQnpzHn ± ¶Ih x|rp¶onyzf- Dª»A± #m}hOh ~qxIrzu.~ rp¦´|w¥ x|g uwcfh#uwcfrth s|~ uÀnyÅ5uwh qw~g/npx|zÈx|¦uh uwcfg h uwx| c¦h svzfs)uxIgiuglcfnynph² oznpwszfh u³rtx|svrpuws¯nyx|IxIwh znyOI~¥Icfnyz¢ ny{_scfu¶vh hOs~drphn ¦´ ucfxInpz_gh u cfuwnycfÅ5h[hqryxI~rpnpx|x|z zÀ|x|nyuwzuh hSq wxg2¦fnpzsdnps|~£rgxI¶vqfsvsz }wntnpsvgs|unpqfx|g zrp~ s¯±3Ix h u£¦ A snts|~zÀzf~npzf5{x|h_svuAuw~nyh xIh[h z z~± qfubdnycuwsvcfs|u fhryh² x|x|¦´gizx|L~{fh uwwHcfh qf~wh[~h nyzfh zHnphr unuh np ~ x|h }s¦3zi{fЬs|hOsI~.u²~cnphx| }zoz®{fqfnprpg³~in n~uwh urywnpx|uuzcfrp®wx|qf¶¯±²s|I ryc³nu {nt~ shOu~rp~h uqfcs|wdhhuÍ ¶ocntnysrtunpsvzfu.ginsvuuw®s|nyzoxIx|zAÀ¦ ¥ {u scf.hs|sz gigi h sÆu }h ny¥I.g³s~£zqfcg s¯¶|npgihÆx¦_{fuxrp§ n ±5nhuw4ryuwxvs|u¢£¤|cfh h wz¶Ix|h qfnpOz¬I¥cs|¢£ uwh&cf x|h¢dqfnpszHz}zHuµuw± qfh bdh zcunpxh~ huw cfzh~qf nhÅ:uh cwh szHudu_s³~x|x|qwww h h^uÄuh sgrts~Æzc hs¯¶|nph)zÀ~unycIhÆzfnyh °I qs|svzIuuÆnpx|¶¯zis|ry¦´qxIh £~ ª_±nt ~[xIxI}uwuwcfs|npny~_zh w h sI¥o~npzxIzAu¥cf h_x|{z s| nyu£unpxx|¦Lzu~cnphz¬µuxvcf¢Áhi¢ h czHh uwh h x|sI¦A~~uqfcgih_{}rts¯uw|nyxIh zÄ¢£xv¶|h h w²h u cfhh_°zfh h zHLuw±Sws| u r}unpcf~dnph } {x|hOÄ^uch s ry¦Luwxc¦Lsvuudcuhch_rts¯w|h h ~ qf±ry uu£npzfnp³~£¦´x|h wgu.sqfnpzfrtsrpwh zf{x|uÄhO¶v~sh zIrpn u. ~Äzfs|h zs|SsI ucfh hÆ{}huws|fIh|rph ¥ ¢ ~x|cqh ww hlh³Iuwwh s wg nph ~zHnpuw~)~_¢ÄxhO¦ s ¤|h h z~nynyzDu|¥uwcfxnp¦d~ §Q xIszfz h| ¥ux|cf¦£h&ªÀ s|x|zhi~h {fHwqfh h ~h zzHuh± x|4¦£xvq¢Ä~nph zf¶|Eh s(¥Ls|wh ~_rtsvuwcfunphx|zDxv¶|¢ h wnyus|c<ryrpxIh ¶|zh ~rSuwsxzH¦£uucf»h½ ntrph ~ƶI{fh rLxIx|¦ s ntry~w(~npx{¦ÄsvuwglnyxInpzzfxIs|Æz np gi¤o{nyxIzfh u.usntz h h zf±h ¹ IÀ x|¢dzs|~~£u.¦´sx|npqzHz u ¦´xIHw nyzfnygi&{5uxIcf~hlnyzgiix s| z(h rh giux{fnph nt{f ws|x rL nyzfq{hq}uucfuhixÀ~{5xIh wh ny¦´ u {s
(74) ± .s gixIhrypuwxvh ¢ .~ ny2z yv Ï¥3ucfhh f ®¶ont~Ç xI~nu® s|z¨hh }{fwh ~w~h s|~ls(¦´qfzunpx|z x|¦ ucfhgin }npzf#rts¯|h , wÒ h {frts|npzf ucfh ¶|h rpx}nyu+Iws nph zHu o É sz h }{fwh ~w~npzf uwcfh¼uwcfny h wny¶vsvuwny¶Ih s|~ , ¥ w u f c Á h ° z s & r. h } f { O h ~ ~ p n | x A z ¥ ¢ f c t n . c ¢ p n y r À 5 « h q ~ h p n 2 z u c « h h f s i g f { p r. h ~ { hO~h zIuwh nyz¬slzfh Hu~h unpx|zA¥fnt~dx|fuwsnpzfh 2 A» ©¡Ç § ©®A» }&§ »½ - '£½ © '£½ Ë: Î § § uw zcsvhu }uw{fcfwh h w~whÀ~npx|sz«wh³Ë xI: zfÎ^¥rp¬ u¢Äx¦´_wh s|hiz {s. s& gih uh h {5.~_h z ryh ¦áu;x|z¨2 uwcfs|h(z . cfuwx|cfnthhÀ{fx|w¦ x ucfqh(^u xIgi{f± hO ~x|~)npf~nyrpqfnyu#~x|gizfntx ³ µh rWxv¥[¢~~ x ¥ . 8 . I. K -K 8 . =. . 8 5. '. 10. +=. . =. *. @. I. Q . I. 8. ' . '. R 8 576 =. J. 3. . . =. . . '. '. %. '. . . . %. R. Q . %. Q . Q . 3. 6 .5= J K. 78 . >.+5. M. . ' . M J R 8 576 =. . I. J. M . 8 . >.+576 . .5 = J . 3. 8 5. =. 8 . K . =. 3 . . 3. K -K. . J. K. M. I. @. J>K. @. . J K. . R. . 3. R. . . Ý´ÞßAÝáà.
(75) I uw{cfh&hO~h h zI }uÀ{h ¢£npx|giw¤:h zH¥Äuwny~u&x¢d¦ s|D~iH¦´xIIqfzz s z~¦´¤oxIn[Às|nyz z x| ginyh{f wh rph ~w ~nyf p rph¬ dgi~qfn }|npIzfh ¨~u)rts¯¦´x||h .~lusEc¶vsvsurpqfs®h&¶v sryrpxHqf~hEhx|uwxQ¦ ÑÑÒôÒôÊÊ 0D±¬np ~Àz¨¢Äuh cfryh °uuh , uwx¡§#© ª® srtqrps, unpx|z~ ± bdÆcfnt ~x|zH¶¯s|uws|ryqnyzh#~_¢ducfs|~ÀhÀ¤Inpz}h µ{}quh ¦´zx| (hÀxxI¦dglu{ch hO~ ~h nyz~ryh#nyu# sxIrtz<qf»rtsv½¯uw¥nyxIuzcf~w±x|q|cDucf- h {nyuis.np~³sgihOhs|uw~h x| zs|± frphxIug2xDs|ucf~w~hqfs|gizh&srp¦´}x|~ nt~[x|¦~h ry¦áÍÏÇ&~npgluwcnpsvrtsu³dugicfhn }{fnpzfw³x rtqs¯|^uh w~£sÈz nt~i¦´wsx|rpglg xHh ~ oui{5h xIwznpgl~u.h szHzHuwu³~ ¢ p ny+ u Ïc ¥ p ucf Wh ¥ x|npwzo~¶|uhOrp|^uw¥£ny¶InpzhxIЬglsI{.chO~zo~qfnygryh¬5h sI±¸~h(¹ ~xIgisD{fq}x|uwzs~uhnpIx|qzh ~¬zË> ~h|hO¥S^uwuwnycfxIhz ¦´:x|rp± IyxvÎl¢ snpzfwhDq{f~h x} h uw x qfw hhuwch s|w~lgl5npzfh hEh z¡sI whh uw{}s|uwnyzs|hfLrph ± ¶vm}s|h ryqfxIhOz ~A x|rp|¦¥» ½ x|uwgix{f{fwwh h ~w ~ntnp^furphucf hds|~h)xIwxIh giu{f~q}{uwshOus npx|npzzf~ËV.~svh uw^huwny± xIbdz cf: hı I¶vÎdsrpsqfwh h~{5xh ¦ ¦´x|³wgls|h h L± h bd cqh)h x|giËV~{fh h²wh u.~ws~fnyfrph£npr InuÎ ± s|x|z w hO^+uw& nyxIz-Ô{Ñ xI± {bdxH~cfh hi ¶vnysz rpqfh³ x|8 *¦ S<¸np~_cxIsIz~_~n h h h z®h s2rpn fª wsu- h < x|z®sgl¥ <ny }ny-¼zÑfrtÒ s¯0|¢ h Ænyu¢ c nyuc®qfzfny*¦´x|- wg Ç h <z~nyu Ë h z-~nuQÇOÎ ±Ë ui ¢ npÇ r x| h¬~13cf1·xv¢ ÇOz¨Î ± ucsvuiucfnt~i¶vsrpqfhcs|~³uxD5hwh x|z~n h wh ¦´xIlµxv¢~¢ nyuc¡¶vswnps|frph * $3 %£®* £ s|z{f{fucfwx¯nt~S }ny~guq sv uwInyxI¥¯zAucf¥hdsz zo qfgiuwcfh hwntÐ s_rHgim huwcfux hO .cfnt~zfn Is|q~h h np~Sx|qz~sÆh giuwnx }h x| }u.°szfnpznyuh£s_h ~rph h gix|zh zI uÄxIÌd °h zfSnyu~hd{¶|sxIuntrysqfrgisIhd ~qf{wsvsIunts r± bdch_hHqsvuwnyxIz~˯Îd sz5hh ÍW¢ wnuuh znpz¬s ny¶Ih w|h zhƦ´x|wg s|~ 2 ,Ò - ,Ò ,&Ò. ¢ ch wh
(76) ucfhgix ny°h uwxuws|rLh }zf§ h oIª 2 np~ucfh³¶|hO^uxIx|¦uwcfhix|z~h ¶vsvuwny¶Ih¶vswnps|fryhO~sz h zfxuwh ~ - ©ÈÇ Ç ,¢ nuwc - Ó }§. >- ©ÈÇ Ç }§ - o§&¢ nyuc -¼©Ç Ó ©¡Ç.
(77) wh {hO~h zIuluch¬cHo{5h wxIryntµq} Ȧ´qfz^uwnyxIz~ ¥ sz s|huwcfh¬rps|ginyzs|sz uqfqryh zIu nyÅ5q~np¶|h µq} ¦´qfzunpx|z~ ¥fsz «np~duwcfh)~x|qf.hÆuh g qfh_uxiuwcfh§HÍûªgix h r ± bds|z c h s nt°~wzwnuwhhuÍÏhdh hrph Igiqsvh uzHnpu²x|zgi~hs|uwcfh£x x|}s|u.{fs{fnpzfrpnyh h ¦´uwx xIg ucfsh °nyzfÅ5nyquh~ÍÏnp¶|¶|xIh rysqzgl hd~~wx|.qfcf.h gihÄhduh s{fg{f~ rpn± h x|ux_ucHcohd{5°h zfwnyuxIhryÍÏnth [rph µgiq} }h zIh u~ gi x|h lucfuxch¥}°uwzfcfnhuwhuwÍÏh ¶|wxIgiryqf~giswh(h_gih ¶vhsuwcfrpqx sv uw¥[h uwcfx|hz(µh q}sI }.c&h ~uws|ntsh(zfI rys|h rp ¢ qfnyrtusvcEuh s srpsIul~uw~cfnp h(srLnyzH uw h Í"¦Vs|s|ryhh x¤o¦Ænpz&u¢Ä¦´xIx®g³h qfrytrp~¬suËVnpx|~h z h ± °|qfwh¯Î ±²¹ w¥xo¢ h cf~£nprs|hi{f{fswg³x¯ }qfnygruwnsvÍûuwhÆxIgi {nph xIgzfh s|zHzfuwz~Æ~µx|qfrp¶| Dh Äs|~_nt~£{fqw~x|h {5 xI~uwhxl npzHou h |.sv± uhsuwcfwh x|q}giuwqfh s|wzÀx|µq xv ¢Áf ¶v ²s|np~ ntsqf~rph h ~ ¦´xIducfh uwqfwfqfrph zHux|zfhO~ }§ oª ¥fnpz(x| h £ux{hO~h ¶Ih{5xI~nuwny¶onyu ±
(78)
(79) !"#
(80). . . 8 . >.5. . 6 .+5. =.
(81). 8 . >.+5. 6 .+5. . 5. 6. . . . >6. 5. . . . 8 5. +=. @. 5. K K. . . . @. 8. 8 . - .1 ". 4 K .1 <.1 -=. . @. 3. 8:. =. . @. 8. E 8. =<@. =<@. 8. =. . 4 K. K. 4 K. 4. ". @. . = @. 8:. 3. . . @7". . 4 K. K. =. 4. @. @. . 8: <.1 -=. ßßÃòAçCB.é . 3. . @. E. 8 . - .1 ". 4 K =. . =. 3. /8. =. . .
(82) ¯ "# C
(83) 1 " "! " 1 uw5m}cfqx|hq.c(z Ð µ_sq}wm } h ~Æx|cz ss¯ {¶In{fh)uwnyxIsixHzs|°~..c s|~± uÍWh)bdxIs|cf{fhh {fwwh x¯~~ o{qfnpsvryguwuw~ npsvs|¢£uwrh h s| w h oqf(x|.}s|mHu. uwsh npzfIs|h h z Í ®xIzsÀsw~sigih jnyxI+zfzj1l8³µÍÏ{5x|qfx|
(84) npzIh ô|uÆ w~ 3h .npcfz(uwh s|giuzfcfh)|h³qfnprt~nyzfsx|drph}giu u.ssh np~z zfc h ± xI q}¢ {unyrph uhcz u uwnt~~dcfh hh uginp x|x|{fzgirp~ xv±{f|q}h ¹ u.sv¥}~usrpnpnx|z {®z s urx|cz h xI~nguwunyhOsxIs npz¸z ± Ë ¹ ~u.Òz¬svunph -glnt{~ ÑHryÎÆntxInynpzu~)~°s|n .{f~h {furpÍÏh nyx|h s|h ~du x5{fuh wcfnpzfh hÀ ix|~zqfhO{5s|nh .uwwcfnynyxIxIh zf)nyzs¢ iz cf uh npz&glnpz}uwh³¦´cfh shwny xI¶vhOs~zn xIqnpqfzfs|z r: x|gis|zhnpuuh xc~ u.x x|s ¦r h h zfgih {fwry|xvIhz x|wnpgiz(s|urycfn nt~h ~uoq uwcf hds°z(.~uhÍÏ~¦´ux|h qf{³z ¶v srpnyqfz hd ônt~ Ç Ñ x| ô± vjb hO± .cf zfxInt h s|sIr . chu.ush np~r u~3ÍûxI sIz~uwhIcf¥fh nyuzocqfs|gi~h wnph h sz¬rogi¶Ih hwunc°x h uwx|c¦svuwuÆcfh ucf hint~ xIgih u{fn q}svuwuwsnyxIunpzx|z~us|h r { ± xIgsnpzEcs|~ÆsÀgih ~cEwh°zh h zfx|qfIc¬uxcs¯¶|h³s&~x|rpq}unpx|z¬npz h {h z h zHu ^
(85) !( %d
(86) ('*) 7%! : 7 8 :*;>= 82- 8 1 7 - nyrt)[uws~~w~|glh h zHx u nth snyz°rp ~hnuu¢Ä¶||h x_..¤os~nyny xIz npz&h zH~3¢ uwx~ ny¦5u¥}c¬glnpzE¶vx s~ qfwh nprps|~[~fxIsrpzfhwhÄnp»h ½ s| }z s|Ë´wgih rtny~svzfquh {npx| h z¨w2~Ëux|:cfzfÎhntÎ ±~uwbds|xIzcfz h s|nyu nps| x|z§²h~ ©is± {ª bd{fgicfrynphh x ny zoh uw¶|rAxhOËV~gl¢ uwnynnyHuw }cisvnyuwz»h ½ rps¯x|Izoh .±¶II~Äh Î^¢ uwsnynyz u¶Ic h ¶uwIÐEcfh s|h)rpx}.~wc<snyugizofqfÌhg³¶|h h zryh ~x}wnyu~lnyÀu.&sx|zf.ÍWsvIIuwhwnysx¬¦´Ë>xInysih gzHgluw~d¶vx ss rpzh qfwh s~iu hxHrp¶vxI~s~~hÀrpÍWqfIh)uwwxs x| ¦8Enph , zHuxD-uw~_zfÑfË h Ò /1s|-0IÎ[ ǯ¢d± ÉIs|Êobd~ ¥ cf.ch-¼xI¶¯~Ç)s|h zryns| z¦´sx| unpx|s|z<ry-¾LuwuwÊ|h cfÎ~hu± Íû~ usIqfq ~ hOuny~cfh h npzgiµxvrpx|q ¢w h|~ h ¥± cs.s|^uwh wnp~unt ~Äx¦uch µxv¢~dswh_Iny¶Ih znyzu.sfrphi ± . . . . . %. %. . . . . ('.
(87). . . =; - : !*- : .: = !*7 >- - 5!<8". vuw¶bdcfs|chhÆnts{sfhOnprpg2h qfrp xnth s¦Lzwuwn~cfuwnnyunphO~£ ~Ä}~x|h ¦A^h uwurpnycxIsh_uzÀnpx|{nt~²zQhOuwË~cf:h hÆÎzI¥}u£s ny uzhOs~¢ {}uu.cfsv npuws|.nyc~xIh zÀ~ ¥Hxh ¦L }uwnt{f~dcfh_shOz&~§_~npq©¬x|zfz#ªÆ¤ozfËgl: xvxÎÄ¢ z&h srz¢ uwnpxry:hrpxv5~¢Áhnygih~{f f{5rpsh nygi°h h npzfgih oLnÀ }±3npzfzf ¦xuw¢£rtnys¯zh |h x|wuw~Szc~sv¢ n u nyuh npcz uw5cfh nth ~)z( h sI~~uhInpgi¥ s+u& h - oÑ¥ 2 9-ºÇsz 7- Ç ± z h ucfhO~hÀ x|z nuwnyxIz~ ¥h rpsunpx|z¸Ë : Î cs|~ ËVIÎ » ½ -Ç © Ó bdch ~{fwh s nyzl.svuwh nt~d|np¶|h zouwcfh ¦´x|rp xv¢ nyzf~h ginyÍWh gl{nywnp sr:wh rtsvunpx|
(88) z ô : ± - ÑfÒpÇ 0 wÇ ©Ç , ,Ç ËWÎ §lz)©¨°|ªlqfgiwh[x } ¥Oh uwrcf¢ hÄn uwx|c#whOxI~z{5~x|u.zszH unyzf» ½ qfËV» w¶|½ hSnt ~± IwhÎd¦´h swh h z hh zfxouw h )o(C #
(89) # @ @¥suz cf hÄhO~ qf? ryuw ~7x¦o u c? @hÄ~uwh s¦´z h . ~dsux ~cfx|gixv¢{f~q}uu.cfsvhduwnyxInpz}zµ~²qf¢ h znyuchd¶¯x|s|¦funtcfshry hh » z½~nuh .qsvuwnyh x ¦´wx|x|zg ucfuh cfh~{fxIhOgls {npsvzfuÆnpfwnpsrynuuh|l¥vh ¶|h rph sz)unp¦´x|x|zEuwËVcfHh Î ±~hÄ npnyzI qfx|wgih_{fw h ry~whO~snpfwryrph µnt~ xv¢qfzf~ ny± ¦´x|Qwg h Ës|z&-º~h hÇOÎ uw± csv£qu£}uu c¥h_{~h {f¦´wxIh s g nyszfzwh s~ uhh ntu~£h ¢Änph x|ry.5sv{fuwhwh ¢ ntcf^h uwzh oi- uwcfh Çi§_sz©¬ ª_ugich x h npr:~wnyw¦Ah u{cfsh z h nyhOz~~nyxIuz . . 8 5. K -K. =. R 8 5. 6 =. ,. J>K L. . . . (. J K L. . (.
(90). 3. 8. -=8 @. 8 @. . . B.
(91) B =. =. . . . . . . Ý´ÞßAÝáà.
(92) O uwnp zx|h gizhO{f s|q}¦´~uwxIh h £xu¦Lcfuh ch_¶v ss|~w{zÈnpsvsuwwunph nps|x|sIrz.I~Äc¡xxv¦ ¢d8uwc¶|wh s± .u~hqÐ(~¢ xInyuh c 2xv¢£¶|h h_¢ ¥cfh unpgirchhEs|uc~¤lu.h suw§Æzcsv©(u£s|ªÆ u cfgih §(x h ©Á oh {5rª¬h Iwnyginp¶Iglh x ~3h zHuwh uwcfr shÆrL{fxI w{fhqf {5¶InpxIh~uwn~lnpuwz hu cnth h sc¢ us¯h ¶ow~dx|nyxIs|z z ± uw²slcs|gsvryuÆqsvh uzf~luh h Ixry¦ npx|¦npf¦V¸rps|h su ¥fwnph ~wuwcfwhh h {uzfh sh z¢·gi nynp»hOzf½_~ h xoh uhuxD¢Ä¿Àh glh nph zEnpzfzHnp u gix|¦´gix|n .{fh&q}hOuwu.~£cfsvuh ucfnpx|h znnyÅ:~zh swx|zh giz {fh h w }~ h ¥[{~w~h s|npzfnpgirph h nygluzHuwny ~ }snys|zÈzhrph(zs¯xvI~¢h h £h xIzÈu}xnyuwzws|h nyzf{f°hw|xLqf ± wqh¹ h~ uw¦´xIcfryh pxv~¢ qnpzf~xI¥zf¶vnt[s|ryh qfÅ5hOhO~S^npuwz ~ ¥|nt x|svzuw~h h Hnpqfzih zIuws|uwryfryhnyu²_¢ xIzInpruw5xIrph~q}npzlunprs_n h xILz±3~nt ~ziuh uzHcu3np~²¢£uws¯s ryuwhIcf¥h uc hh z¶v~snyurpqf)h npz}xµ¦ qfh zÀ¦´h x|± z³-¾ucfhÇ czoqfs|~£gih h nth z s|ry ph uuh x(wgihOnyzxvh ¶Ih uxuwcfchÀs¯¶Ih_xI»w½ h uÆ ± ¶v s± wbdntsvcfunph x|z¶vs~rpqfx|¦[h ~£uc¦´xIhi ~{fw-¾h s Çv É|nyÊz&sz .svuh ±-· z®Êc~qs¯.¶|cDh_5 x|h zh z nyux|npfx|uwzs~ np¥Azfh» ½ uw.cfszh|wh h ~£|q¦´wrpx|s|gºnyuiÑfÒ x0¦Ó¬uË´cf¦´x|h) ~x|rpq}-unpÊ|x|Σz~ ux svudÒuÓ|cfÓ(hËáxI¦´xIq}uh -h IǯÉIh ~dÊÎ np± gi¹ {fry~nph {5~ x|~npx|zIgiuwh h xIxIq}z u onyu npx|z~ds xIs|z¬ry5» x| q sz » ? ½ ô2 W¥ » ½ 1È» 1 l» _©ÈÇ »½ 5{bdhcx|uhS¢£°°ryh h .h ~z)¢ u3uwnyuwx|c¬s|z zs ~zn{5uwx|nynpxIz}zu°~Azfs|npznygiu)h){f ~rprynyÆxIÅ:{uwqch)~svnpx|suzluduqfuzfcfwhOfhsqf5rpuh x|cfzHqfh£u z Hh qsIs|whzH±±unybdunpcfh ~Ah£¶v~s|h zfx|np~z c sx|uzfs hÄ°np~znpngiuwh { xHnt~~u.h s zu x h|¥¯s¯¢ ¶|xInyun csÆs ¶|h sryrtx}s znu h xI¶o zfntx|h npzf± ny4ul-xv¢Äx|¦Aǯh É|¶|ucÊ}h hÆ¥3¥ouh zfcf Hxhuwh {°ws|z.~suwurnp µqfxIxvrtz¢s ~ ny¥I{fu{5npwx|x|h zÈwfcrpnph s|~lg+{zf~[x|s5ul{fh {5 xIh ss|qh ~|h hh uwcf¢ ¥²h_ny¢ uglccfnphOury~hcchu~cf~n h¬c hÆs {5nps|~£h_~hrtx|s¦w|uwcfh- h)npzÀ¶Iʬh uw¶ocfrpxonpntx| ~ nrtu sv&x|uhOzf{f~)h ±3uwx|cf° u£h¬rph g~shOs¯u ixIuzcfhh w{h gxIfs|ryh ¤Ig h nyuwu~ch sry¦²u[ËVu cx|npgi~[¢Ä{svhOuwsny¤ozfnyrph nu~wi~Sx|5¦5huuw¢£cfhh h {fzÀwx|{5xoxIh¿À~h nph gizHxu.~[ h sr5z nt~²zfh x|zu[~nynyzu³cfh Iwwh s zH u²nyh uwxzHuwu~ScfnphzÀ¦´sx|w|gnp¶|qfh rtzisvuwµnyxIxvzl¢x|Î^¥I¦Lfucfq}hu nt¶o~ nt npqfzfhnyu¬uwxxs¦[zÀuwcfxvhi¶Ih g.~svnpgi }ny{fg³rpnqf°g svxuwny¦ xIz³§:¥AnpzÀfqfx|u qÄ¢ snyu{cQ{fryuntc shiunp~x|npglz ± { ryhh s|rps~wu~npqfx|giz~Æ{}uË np: x|βzs~_z q ~h Ë>I ÎSnys|zQhuc¶¯hls|ry{n hOxI~zfh zIrylu np¢£zx|uwcf¤5h ¥ uw cfx|h qfr ¢£h h&whÆ{fs|{fxI{f{rpxHnyh~h npzÀuwx¬uwcfhÆhO¢ xv¶Ich x|_rphÆu~cfh hÀ^uw~nyuwxIs|z z ±3 s|z s|z&¶vsnpglrpqf{hxxv¦ ¶Ih » ½ ¶Izh h .s~np x|uwzcfx|hÀ¦Ah ucf|h_hOgi~ ¥x s| ~ h rW ¥}xIszfzhs nyz s{f ôIuw sv ²uwny¦´xIx|z x|gi{fq}u.svuwnyxIz~dx¦xIqfz s|Àrts¯|h w~ ±
(93)
(94) !"#
(95) J>K L. . . J>K L. . . . &%. &%. ,. . . . 3. . %. . 3. . . 3. . . %. %. ; - : <! - : .:*= !<7 > - - 5 ! 8"
(96) Ú Ö Û Ö ('. &. ÁnyucÀucfhÆ{fh ¶onyxIq~Swh ~qfru.~ ¥I¢Ähcs¯¶|hxIzfrp³xIz~n h h ucfhnyz}µqfh z hx|¦ h z~nuixIziucfh~{fwh s nyz .svuwh ±
Documents relatifs
Ù4 âÞ ÜCä±ÏUö ëÙ/ô4ä Ï!ÏÑ Ò°8Ï!Ü5ò4ÏUØÑ Ù|ÏUñlÑ ØsÙ!æÒÔ5âìÒLájÓÏmâÐÙpÏUÝkã5Ù
the Ångstr¨om coefficient (dashed line), the asymmetry factor (dotted line), and the single-scattering albedo (solid line) in the case of the mean aerosol characteristics retrieved
/ La version de cette publication peut être l’une des suivantes : la version prépublication de l’auteur, la version acceptée du manuscrit ou la version de l’éditeur. For
experimental configuradon, results conceming the mean velocity and some of the Reynolds Stresses in the near-field region (K/D. < 30, where X is the longitudinal distance from
Spohn (2015) erhebt mittels Fragebogen eine globale Einschätzung der Effektivität des Trainingsraums aus Sicht der Lehrpersonen sowie einzelne Aspekte, wie z. die An- zahl
Experimental results let to deduce the parameters necessary for the prediction of the hydro-mechanical behaviour of pavement formulated from tuff and calcareous sand
It has been described that MK2 can be activated by oxidative stress, we thus analyzed MK2/Hsp27 pathway activation by exposing human liver cell lines, PLC/PRF/5
Details on the spatio-temporal variability of the mixing patterns due to the shoaling ISWs, inferred from vertical density overturns using the Thorpe scale method to get
