• Aucun résultat trouvé

Multiperiodic multifractal martingale measures

N/A
N/A
Protected

Academic year: 2021

Partager "Multiperiodic multifractal martingale measures"

Copied!
40
0
0

Texte intégral

(1)Multiperiodic multifractal martingale measures Julien Barral, Marc-Olivier Coppens, Benoît B. Mandelbrot. To cite this version: Julien Barral, Marc-Olivier Coppens, Benoît B. Mandelbrot. Multiperiodic multifractal martingale measures. [Research Report] RR-4563, INRIA. 2002. �inria-00072025�. HAL Id: inria-00072025 https://hal.inria.fr/inria-00072025 Submitted on 23 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Multiperiodic multifractal martingale measures Julien Barral — Marc-Olivier Coppens — Benoît B. Mandelbrot. N° 4563 Septembre 2002. ISSN 0249-6399. ISRN INRIA/RR--4563--FR+ENG. THÈME 4. apport de recherche.

(3)

(4) 

(5) 

(6) 

(7) !"#  $&%'

(8)  $% (*)+-,-.0/2143*5653*+$798;:<3*56=?>@A+B,BC',-.05DFEHGGI.0/JKL8M1F.0/E*N-OL1P;:<3*/Q.0+-R56E*OTS U VXW#Y4Z\[Fr ]_Zopsa^aot`bgpY&W6Y4cXdfZ6eTo$gh`jui0i0klY4ZmXg$dji?Z#vnmnZ6gh`jo Y4`fopeqgp`bi?k wxhiqyzZg|{}xhe0ug~eqdbZ6o €eqm}mi0xtg r Z xhZ6u~VXZ6xhu~V}Z‚k*ƒ[ „?†?‡ ]_^aZ6mngpZ6Y&ˆXxhZ&‰qŠ0Š0‰\]_‡?†Fm}e?‹?Z6o ŒLr i?Y¢Ž6#mXTxp‘Xi ’?r ?c“ug;” i?kX›Hi0VkXeqkXxhYFZ6‹0i0eTkXgh`j`f•0u#oZ—iq–#›£˜-m*eZ#¤#xh˜-`bim*r Z#xh`bu™`bi Y&r `bc}u¥dšgh›œcX`š›œkx~e?uugp`bghi?eqkdY4¦¨Zž§œe?©topªcX«xp^aZ™ci?u~kAVŸ `jkn¡`bo$kXi0`šghˆnZ|ghmXe?`jxhk}i Z r r c}ue?gho o`be?knxp¡}Z€kXot`jgpghZeqgpx~`fozeqghkn`š˜˜ `›œfu6oZ6eqxhdbro;js—cX›œxhZoti?Z6gpY¨dš›¬i9˜­eTgpgp®V}VXi0Z6kXop`jZ$xZ|eqiqYk ›e?r iqxtgpgh‹0V}`jZ#kXZ#kX‹ x¥Z6eqxhxhdbe?e?Z±kdj`boz¯#r ghZ i?xpY¨cuZ6uxtgpY4g~c}eqZ6xp`bZ0e0kF«otc}€U xp`jZžZžVXoIotZ¯ u#i?umXxhk}xh`šiotghgpZ#r xhxhc}c}`jui0ug~k²ghoMZ ri?°$›$`je0gpkXo;V4i?Yxhkne?˜e?kr xtghrZ6`j‹?i0kXZ#Y‚‹ k}eqZ#mXdbx~Z|V}e?dbe?u`js³opY4Z6o6`j`bgho&«o¥U mXiqxpVX›iT`bY&•aoM` u#cXr i?djZ gpkar `b•?mX«LZ6db`xp´µu6‹0g eTZ#gprk}`b•?`šu#›¬ZZ˜ m}m}xpxpini ur Zžc}opuopghZ6o¥o6«¶`bk±´µgpg±V}Z¹`fo›œx~eqeqdfopY4i Z6°I•0Z#i0xhxps¶ºFotiqZ6›£k}ghopVX`šghZ#`jxh•0Y4ZLi ghr i·sak}opYeqY4eqdb`f€u€u~›œV}i0xpeqYk}‹?eqZ6db`foFotY¨`bk2›œi0¦¨x¥§œx~©teqªk «¸r i?´­k Y¢ghZ#gpxhx~mXeqxpkZ#ozgp›œ`bi0kXxp‹ YgpeTVXghZž`ji0otZlk}o`bknY¡}e?kXº?`jgpZ6Zo ghk}VXiqZ6g€opZ™eT»H`jknZ6u¡g€kXkX`šghi?Z\knmX˜ rxpi Z6r‹?Z#ck}uZ#g$x~kXeTi?gpZ™kX˜ i?r xhZ6`b‹?‹?`bZ6k}kXeqZ#dHx~eT`bknghZ|¡}kXeq`jk gpZr mXui0xhi k r•0c}Z#xhu‹?ghZ6o6k0« gI• `feFe&k}eqgpcXx~eqdHkXi0xpYe?dj`b¯6eqgp`bi?kghV}eTg r iaZ6o Y4`bk gpZžxhe?U i oprcXVXc}xpZ³Zžuo#ZY&«'r cX´­eqkdjgpk `jgp›œr V}xhe0Z;`jgIughg~`fVXeqo;Z#d|e0xhY4e?opopk}iineqrudb`fsns eTotkgh`fZeqorY4iq°$`b›\u`šghgh›œVXi?VLxhZ9Ye\db°¥`jeqY4dbZ6` op`jeqgLYlºFY4¿6mXghxhZ6VX`je?kZ¥opucXkX`bmXxhiqZAdjghZ|`ji0`biqok›oziqˆgh›}i0c °¥cXr Z6k`bZ e?r r º\Z «¼r ¾™•T´µ`bˆXgLeqˆ}xhxh`boeqZ6Y4½ gp`bcXi?Z6`bk}e0xhoMZ6otc}o›œxpi?opZžxMcXo£gh`š° g~VXeqZ|e?ˆXom*dbZ xpiqZžghu¾™Z#Z#k `bk ˆXgpgh`fˆ}djeqs o d ›œghc}VXk}Z$uxhghi?`ji0dbZ¥k£i?«M›HU gpVXVXZ#Z$xhm*Z?iq¿ ghgpZ#V}k Z|gpm*`feqiqdXgp`fZ6oMk mXgp`fdfeqedHs?Zˆr Z6djˆai0s&kX‹0gpoVXZ€gpi4dbi?e&‹ eqopcXxh`šˆHghVXudfYÁe?ohi?o›iq¦¢›mX« `jZž” uZ6kX°$Z6`b°ÂopZ¹e?u#mXi?mXk xhgpi0`bkae?cXu~V—i?c}°IoZ ›œcXr k}Z#u•?gpZ6`bdji?i0k}m—o6YÀaVXe?Z#º?xhZ6Z?o ¿ `jm*g4Z#xhm`bi i opr op`b`ju¹ˆ}dj›œZcXk}gpui²gp`bi?i?ˆnk}g~o¹eq¦Ä`bkÃgh°$VX`jZgpVAY—e cXdjr gpZ#`j›œkxhote0Z ughue?i0d cXk}k gheTe?ghcXˆXxpdjZ ZopiqZ›™g€`ji?kn›}¡yzkXcX`šY4ghZmAx~m*eqki?`br k0i?g~Yo#« mXxhi r c}ug~oFiq›|V}e?xpY4i0kX`bu6o&i?› m}Ð;ÅAxpxpÆ `b‹0k}ÇHi uÈhr `bÉ&mX`bu¹dbÊ Z9gpTV}iqËZ#› Ž?i?“ ˆ*xhs?i?« cX€k eqr k Z r r i?Y̕TeqY4xh`feTZžgpe?`bopi?cXkxpo#Zž¿ o#¿XU ͳVXZ#eqxhxpY4gp`bkXi ‹0r e?sadjk}Zžeqo#Y4¿nÍA`fucX›œdji?gp`jxh›œY4x~e?e?udjg~`feqopYÎd'e?k}›œi0eqx±dbsnxhote?`fo6k ¿Xr $i0`jYÏZžot¯\gpx~mXeqxhki ozr ›œi0c}xpuYgho6eT¿Xgh°I`ji0Zžk}eqo6º ¿ õ ÕBäÑÛÜè ÖzæÒ}å ÖzöÓB÷ÛÔhûjÙ~ÕBםÓBÖ­æÓBחÙ~Ö ÛšØTTøÓ-Ù~èÜÙ~ÓùåÚ­×BÓù×-ç$èúÙ~ٞÛÜÖzöÖtûbå#ÝtÓµ×'ü#ހöXÔ~ߜû}ýàñHá£è ò×B߬òÖzâ¢ç$þIèÜá£ÚtöTÙ~Ô#ÿ\Û Útnã#ÖzääÖzåžÚµÖzòåèÜÖtåÚzÓ'ÔÔäÙ~ÛÜÔ ÝBӜ~Ý-×pèÜóÞ¹ÝBÞq×-æÙ~æåÔÖzÚzç€Û Öûš× Ù~ûjèÜÔåžÓ£åžÖ×Bè òéÖtÖÖ4ÓùÝ-å#èê*ä׬ó€Ôç$ÛÜäžÔ~ÖzûÚtÓBèÜÖtnÚtÙ~Ù~Ötä Û Ú-ހòÝBèÜåë~ç¥ÔìžÛÜäítÔ Ûúî~Ùhï9ó×BèÜÞ Ôð åÖÝtö ìñHHòð4ÖzÝBåTæÙtÖtó Û ûš×tÚzޞÖtà'éžÖ­Öz×-ô?òÞ$ÖzÓùØTÛúÓBÙ~Ù~ååéÚzÝtÖ ö õ ÿFö þIö ñÿ Ô Ùh×B?òÖzÖzåç€ÝµÙhø×B×-èÜÚtå Ý ö ×-æäžéÖ TÖzÛÙ~ûjӜ×t×-ö åç$ÛjüÖzå×pÞ HÙ~ÛÜÖ 'åè ÖzÓBÝBè ׬ó#Þ àÖ Ù Özå Þ ñ î œì ìïžÞ ;ö ?ö â;ö õ ûjÓ-Ù~Ú ×µÙ~ۚø £Ùh×BÝ-Ôå0ö èÜ÷ç\ö ÚzÔç¸ü  . . . . . . . . . . .  . .  

(9)  . 

(10)   . . . Unité de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France) Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30. .

(11) 

(12)

(13) '! $% 

(14) !" $%™ $

(15) %  $%'

(16)  $% ~ 

(17) 4 $% ¥Ì $

(18) ##~ Ï~#

(19) ;#.

(20) Ž

(21) “  k¶u#i?k}otgpxhcX`jg4opcXx4Ÿ cXkXZY4Z6opcXxhZeqd6eqgpi0`jxhZLm*i0op`šgh`j•0Z³¤#˜-m#xh`ji r `f½ cXZu#i?Y4Y4ZLdb`jY4`jgpZ ›œre?i0cn k}cXgpuk}i?ghZ4˜µ`jeqi0op®k9cXkX`j¤gpZ6˜µZ o6m «9r#xhZ4Ð`ji Y4dbrjZžZ6`fo&½ opcXcX‹ Z™xh#Z6!k ¦¢o\6xheq« e?d6dj£`feqopZžgpZ#o¥i0k `jYFg&xhZ6Zžuo otZ6c}xtr g~xpi?eqZžk o`bk}g to&mXdbZ6xhm}o i xpr ri cXZ6r k}`šcXg~ot`jo;gh`jgo`bžknor¡}Zlk}oti0`b$o k ¹g`jZžeqotr `b¯k}Z6o\ope`*•?mXi0Z6xhˆnu±i gpr Z6mXcXkaV}`jcXe?ghZ6oopo¥Z?r« oti0V}£k eqg¥Z6xhcXY4otx&ghi?eTZ#kXghva`b`fot½ `fgpotcX`fgp½ Z6Z#cXokZ#urY4ZL cXZ6ZžkXk0ozZgg Z#i0r gˆncXgpZ#otZ6cnka"®±cXu#Z$ohZeqmk ½0i0gpc}cXZ4Zx oprdbcXex& eqotcX¦ c}gp`šxhghZ6Zm*oi?r Y4cXZ6x Z6o op½ rcXcXZ6xhZ4Z6k}oMopdf`šedbg$`j6Y4dbo ` YF`jgpopZži?`jgpo `jZg\r c}opZ€i?kXmX`jZg xhinkXYui?Zžeqk opxpopgpc}r `bkX#o‹0‹ Y&e?#!kdjcXZ06dj«gpx `b6mX Z?db&«`k²u6eT%Ii?ghˆnZ#`š›ùgtgho gh`jZ6Z4r k0Z€u#gi?k}dfk eleqr gp`šucXghi0xh`ji0kZ kr Y4`jgpr e?`b`ji?xt»Hghk²W#`jk}xhk!Z‹06equ#r dbZ6Z?Z4oh«opu#Ðe?Z#`jdbdbxhjjZZZ Zžr ozeqg'k}#o;‹0dje?Z|djZ6u6Y4e r Z#xhk Z g€r gpc±xhW6›œo¹i?xhotY4Z6k}e?opdj`j`fˆXopYFdbZ(Z " ghVXr Z#ZxhmY4Z#i gpr`jgpsaZžk}o|eqm*Y4Z#xp`f½0gpcXc}xhZ€ˆ}meqi0gp`bcXi?x k}ro Z6r oMZFghxh¦¢e?k}«|ot›œ^ai?`xhY4d  i0eqkAgp`bi?`jk k}gpo;Z6xpeqm}d 6xpeTW#ghgpi?Z&`bxpu#ZžZ6o#o€¿?Y4i?kZžotm*cXZ#xhcnZ6go xhYZ#ke?xtr ghxp`jZ\kX‹ ueqZždbo¥Z¹mXdbxpi?i x~ohr ½0c}c}`šg~Z™o$u#uZ#i?dbjkaZ#•0˜µu#Z#`xh‹?Z6Z#otk g€g~kX)o i?"—kn˜d r eqZ6` ‹*r #Z k+r #x$cX#kXZ?Z\« kXi?xhYeqdb` oheTgh`ji0k±k}eqgpcXxhZ#dbjZ0¿X½ cX`kXZ\u~V}eqkX‹0Z¹me?o¥dbe u#r Z#cXxp`šghgh e?Z `jklkXr Zže?›ùo\e?k}`šo$Y4g™dbdZ6Z opeqcX›œk}i0xpe?xpZždjYosnopeqr Z dbZL`fY&otY4¾™cX`bZ\djˆXgpˆ}gp`j›œV}o6x~Z# «e?xhuYF'g~eqeli dbZr k}sariqk}gpZ—e?`bi?dbY4ek `bY4½ r cXZZžZ0otY4¿}cXZxhZžg™ZotcXZ#db`jdbxhY4jZ Z&`jrgpZ6Z0Zotg¹'« ¾™e?%I`bohZ#ˆXotdbinˆ}jZ#u#o\˜µ`,u#6›ù`'e?Z `j!k ˆ}"ždjuZ±cXZ6k9elohopmX`š$x ghxh6Z`bu#k}Z#dbueLY4`bmuY4Z i?Z#kr k ozZ gghxp•Tc}eq$g uxhgp`b`beq`ji?k gpk `bgpi?xhrk}iqZo˜ ›ùr e?Z6`jo\ˆ}dj›œZi0k}mui0ghcX`ji0x—k}dfo&eAu#›œi?i0k k}gpu`bghka`jcXi0Z6kÃo m*miqeqgpx Z6k Y4gp`bi?Z#x~d-u-« Zžeq£cnZvm«Li?´zgpu#Z6`Bk0¿ghdb`jZ±Z6d x /0mdjZ6Z cnrg4c e?djmi0i?xh ogpZ#.k gpghxh`jZZ6d;u~Z6V}oti?g€`fotyz` i0!cr eqk}m}o—eq(xcXkX0,1Z2Loti0¦¢c}ot4« ˜µu#3|dbe0i?opc}opZo m*r #i?•?c}Z6x$dji0cXmXkXm*Zi?uk}dfoe?ohc}opkXZ Zr Z\e?mX›œi0mXk}xhiaughu~`jV}i0Zk}o€mZ6¦ xpY4eZs0gpeqghk e?k0g g cXklr Z±Z#k}›ùe?op`jZ#xhY—ZˆXd db eqZ kr eq#dbkXsai0opZY&Y&ˆXx~c}eqdšˆXgh`šdb›œZ x~e?r uZ#ghk}eqopdbZZ r r Z\Zm*dbe9i?`bk0YFg~Zžo otrc}Z xpZoheqdb`jcnY4gž«`jgpZ mgh}5 `jxpi0`bÊk}k}žo$uŽ `beqm*È d*’ Z 66 eq

(22) r gpŽ Z±i0`j“•TxhZ6eqo6xh¿n`bÍ9eqU gpZ6`b!V i?op#cXk}i0xpo\xpZž`bˆ*o&Z¹i?e?Z6xhxp,d k!ž‹06eTi Z6gpr o™i0`b`j½ ›ùxheqcXZ6`bo6Z0ˆX¿« dbZ?ͳ¿eq{Xxpi0gpxp`bkXY‹0eqe?dbdj`fZžoto#Y4¿ ZF” gpk}VXe?Z6djxpsnY4opZ±i rY&sacXk}dje?gp`jYF›œx~`fe?½ ucXg~ZeqdbZ?m*¿i?cXwx xhi r r Z6cXo\`jghghoxhe?r k}ZLoz›œ$i0xp`bYZ6opeq¯?˜ ¿.

(23) 

(24)  

(25)  !"

(26)  ". ‡. &!& $!&% $&% ' 6 Ê Ë ’q( Ê '*) + ,.- Ê ' È Ë 0Æ /*Æ ' Æ T‘X’ Ç ‘ ' ˸Ž1 ÆaÆ Ë Ê32 Ë Æ0/*Æ ' Æ T‘X’ Ç ) $, 4 Œ 6 ÊaÉ—Æ L Ê  ' Ë 2µÊ 65798;: §<'ª ) $0= + 5 6œ ( 2 T‘X’qž!‘ 6 ‘ ' !‘ 6 Ç Ž (ùŽ >Ê 2?< ) [[«j« ‰¤ 3|U V}i?k Z gpY&xh`b• cX`fdjeqgp`jd›œxhZ#e0vXueqg~Y4eqdHmX›œdbcXZ6k}o¥uiqgp›`bi?›œcXklk}iqu›Bgp`b<Mi?«k}o|«™¦¢« «¼«\«« «\«\«« «« «\«\«« «\«\«« «™«™«« «\«\«« «« «\«\«« «\«\«« «\«\«« «« «™«™«« ««$¤¤@AC [« ‡ U V}Z Y&cXdjgp`j›œxhe0ug~eqd£opmZžugpxhcXY iqD› <M«|«™« «\« «\« « «\« «\« «™« «\« « «\« «\« «\« « «™« « ‰ C E 5 6œ ( 2 T‘X’qž!‘ 6 2  ' ’q ( Ê ' ‘ ' ˸FŽ 1 Æ ’q6   3Ê 2HG ) 4>, = Œ  6ùF (I1 6(B’?‘n (IJ Æ ’0‘XŽž’?‘XË Æ ’ Ê  '  Æ K 1‘Xž ) 434 #. áá åLNMî ï 

(27).

(28) [. 

(29) 

(30) ! ! N N".   

(31) !. —! '

(32) ;! dbU ¦¨` YFV}§ù`b`j©toghªo ¿mi?Z6eq›e0m*u~YZ#V³x±eqghxp`bZ#kagp`bxh•?kXY Z6‹ oteqgpi?db`bZ6‹0›Io6eqgh«gpVXZžU Z±o4VXmXxhi xhe?oti k Z™r r Yc}i?uY eqg&xpgpˆoz`bkXg~Z6eT`j‹0k}gpe?`f‹9djotZžgp‹?oI`fu#`be?•?eqxpZ6dbZ™k²smXelopxhZ#i cXdjr ›¬k}˜µc}eq`š›œu®4i0g~xpo¥k}Y4ZAiq›dbs Y& ~˜-cXr V}dj`fe?gpot`jgpxp›œxhY4xh`je0ˆXi0ucXkXg~gpeq`bZu6d€ro;Y4i?x~›Z6eqe0eFk otr mc}i?Z6xpY Zžxp`bo4i m}ri?V}ˆn`fu€e?g~opeq›œZ?cX`bkX¿kZ gpurVXgp`bZži?e?otk Zo m}V}e?opZ6oˆ*Z#`bkX‹\`jk r Z#m*Z#k r Z#k g djZ#gI¦ ˆ*Z€e™kXi?k}kXZ#‹ eTgp`b•?Z™–˜µm*Z#xh`ji r `fu¥YFZže?opcXx~eqˆXdbZ;›œc}k}ugh`ji0k4oheTgh`bot›œsa`jk}‹    ¦¨§ù©tª ?© Á–   'Zgl§ !}ª"# ˆZle³opZ6½ cXZ6k}uZ±i?›|`bk r Z#m*Z#k r Z#k g4xhe?k r i?Y mXV}e0otZžo r `fotgpxh`jˆXcXgpZ r cXkX`j›œi?xhY4djs·`b%k $ &('#– )-« °$'Z`jgp*g Vl *xh+-Z6opm,&Zžˆ*uZ&g gpe?i4kgh`bVXk Z gpZ#£‹0Z6Z#ˆxž«Zžot{X‹0i0cXx$Z™Z#YF•?Z6Zžxpe?/s opcX.0xhZ*+<2™–?i?¿ kAr Z#Ÿ2 kXi?`fogpZ\ˆa6s <1LgpVXZ x~eqk r i?YÌY4Z6e0otc}xpZ\°$VXi otZ r Z6k}ot`jgzs 4 <1 §ù©tª  685 7  ¦¨9§ 6 §ù;© :< 6 ªt=ª  32 >²Z±otgpc r s³gpVXZLdj`bY4`šgi?› opc}u~V r Z#kot`jgp`bZ6o < «U VXZ#s °IZ6xpZ4mXxhi?m*i0opZ r `j@ okatghcXeqY4gp`bZ6i?xpk}`fe?u#e?xpsdjbs?Y&«¥cXU djVXgp`jZ›œx~i?e?xhu`bg~‹?eq`bd¹k}eqYFd'Zž€e?`jopZžcXotxh¯ Z6o4mXxhghi V}r eTc}gughe?oFxpZ³EG? ‰Xk}¤8eTCµgh¿HcX?Üxh‰Te?[dBC ¿$%Ie?V£k «Jr IKot`bY4A3LmX¿dbeqZ9k k gpr i ?BgpADrVXCIZZ&e0¡}€o k}`jZ elZžoteq°¥¯k em}r slxpi gpghi¶riAc}‹?opu`jZ6ghY—kXo$Z#cX°$x~dfeTeT`jgpgpghV ZZ x~•Teqe?kkXr`bopi?V9Y°$mX`jgpV}V e0otmZži o4ot`jozgpgh`bc•?Z—r `bmXZ rxpi0ˆ}`jMk eqˆ}? CX`jdb¿$`šgzs¤6Šn°$¿$VX¤0Z68¤ Nk C|eq.PxhZORopmQ¸Zžu¿H`feq`-« d Z0«\ZvXe?e?xpYFZ&m}kXdji?Zžkno—˜ ri?Z6›™‹?opZ#Z6k}½ Z#cXx~Z6eTk}gpZ0uZž«|o U < VXZ6s9°$eqVXxh`bZu~V cXk}r oti²ghe?kXˆXiqdjZg `bu~kVeqghkXVX‹0Z™Z6opo$Z#k`bk otZ|¦¢gpV}«€eqU g¥VX`jg¥`fo|°$`f`bo|d e?ˆ*k9Z™cXopVXkXiTZ#vn°$mkZžughgpV}Z eTr gIgpkXVXZ6Z™°<kXm}i0VXkn Z#˜ kXr i0Z#‹?Y4Z6Z#kXkXZ#i0x~e?k£u#¿*s&e?ki?›r gpgpVXV}Z™Z&dj`b‹?Y4i `šeqg d£`fi?o S› r ?TZ6ADotCgp`fxho|iTs?k}Z iqr g€ˆa›œcXsdj¡}otYdbjZ e?r dj« c}db3|` kYFZ#r•0`jgZ#Z#xxpY4gpVXotZ6cXZ6e?`jdjghZžope?opcXo6ˆXxh¿MZdbZ³gpe0V}uo—Z9i0k°¥otrZžZ#½0`jdbgp$c}`bi?Z#e?k}k}oFo6u#m*«<Z²Z#xp§U <1›œi?V}UxhZ³KYF<1ot`b§ZžkX½ V‹³$cX&WgpZ#'#VXd|=– Zl)œe?ªt`jGªY&YX#c}o±dšgheq`š›œu#gx~i?e?u~kauV}•?ghe?Z6eqxhxpd$e0‹0e?uZ6gpk}oZ6eqxp°¥db`bsn¯#Z6ot`be?kX`fºao&‹ djsi?gp›€VXi0gpZ³kÂV}kXZu#i?i?dbknY4` YF˜ rm}`jZ6ge?‹?uY4Z#g±k}Z6otZ#e?cXx~opˆe?cXuotxhZ#s¶ZLgho4iqcX›\iqk ›\gpr VXZ#Ÿ Zx °¥Z6e?º±e?ohotc}YFmXgp`bi?k}o i0kLghVXZ xpZ6‹?cXdfeqxh`jgzsiq ›¦¢« $Z#gpcXxhkX`bkX‹$ghi$gpVXZIotZž½0c}Z#k}u#Z€I§ < ª X# ¿6›œi0x£Z#•0Z#xhs|xhZ6e?dq©¿žgpVXZ;opZ6½ cXZ6k}uZZ Y\[^[V]` _ §ù©t"ª a #  `fo'e\¤#˜-Y4Z6e?k k}Z#vni?`bkXotkXgpZ6Z6k}‹0ueqZcgp`b•?EœwZxhYi?m*eqi0xpgpop`b`škXgh`j‹ i0eqkÃdbZ¤DL€°$iq`šgh›V³x~eqxhZ6k opr mi?ZžY ug¹Y&gpi±cXdjghgpVX`bmXZ—db`¡}u6dšeTghghxh`jeq•0gpZ&`bi?Y4k¶Z6§ e0bMot§cX xhZ6'o <°I'^ZF4eqxhZªt"ª `b#k0ghZ#xh« Z6otU gpZVXr Z6xp`jZ#k³›œi?›œxhi?Z?db¿jiTgp°€VXZo ›œu#xhi?i?Y4Y m}e0gpVXu*gZ4e¹ghVXeqZ#c}i0o xpr s9i?xp`b»²@k op?j¤žZd‡gg Cµf«LU Y4VXZ6xhe?i?k}cXo|‹0VX°¥i?Z6cne?g™Wº gph V}uZ4i0gpkaZ•?vaZ#gžxh¿‹?Z6°¥k}Z6ue?Z\º³`bkAui0gpk V}•0Z Z#xhr ‹?c}Z6e?k}duZ—i?j› iqi4› YFk§ f²Zžªe?¿*opcXgpVXxhZ6ZFo™oti?mk·e?uelZ&djiqin›u6xheqZ6dbjeqs d u#i?k gp`bkacXi?co;›œc}k}ugh`ji0k}o$i?klfë  m  Ê 1 Ê FŽ (ùF ( Ê ' $on  qp >

(33) !    9r  8sB 

(34) t

(35) 8rvuxw@yzs qpN ;" ^{ =  L§ < ª X#

(36)  "

(37)  !  qpN  N   |  

(38) 8tKH$ u;'}uz:¸–)?tK 

(39) ~ "z* €Br  6; K"

(40)  H< 68‚ s 3>;|p. > N|  "Su 3> uz:2– 

(41) ! ƒ    "  ?< 68‚„   " }{  Brds |p

(42)  6 V  ""   k{  K"

(43)  < 9Ÿ " }p qpN < 68‚  " qpN

(44) ! "

(45)     <  †$ u\'}uz:2–=)  

(46) tK 

(47) 8rZuvwly „ 

(48) ! !3tK 

(49) ^sS =r;qpN ˆ‡3‰9 N 

(50) F  9r ¹Š ¦ sD<  " |Wt

(51) 3 S =r rpN

(52)  ‹F3   

(53) !N"  30Œp K". t   

(54) ( "z 

(55)   " 3 |3 Ž~

(56) *<  " – ‰9

(57)  „.

(58). ߜàá£ß¬â.

(59) 

(60)  

(61)  !"

(62)  ". „. `bklw´­xhk\i?ghm*VXi0Z;op`šopghZ6`j½ i0cXk³Z#¤?d-¿ « <F°$`bd r Z6kXiqghZgpVXZxhZ6otgpxh`fugp`bi?k™ghiƒ$ &W'#–=)0iq›agpVXZ|¤˜µmZ6xp`bi r `budb`jY4`jgY4Z6e0otc}xpZi?ˆXgheq`bkXZ r u#dji ote|Z r Z#xhopZ cXmXEBe?m*o¥i?`jxp0k ƒg ?j$ ¤0&W¤8'#Cq–L)-¿a¿ngp`fV}o Z¹r ZY—¡cXkXdšZghr`š›œx~e?e?o ughˆ*e?Z#d`bkX›œc}‹ k}ugh`ji0k&iq›e—m*i0op`šgh`j•0Z|Y4 Z6e0otcXxhZ G±i?k $ &W'#–=)µ¿aV}e•a`jk}‹—e?o  O 0 7 8 

(63)   0,1 2– § qª     G§   §ù©tªtª  4 G§ ?©t=ª   °$V}Z#xhZ   §œ©tjª  $ ©  U3,('t1© :U3,) $ &W'#– )-« ›œi0xpY ´µg€°$`bdj'ˆZ mXxhiT•?Z r cXk r Z#x€opcX`jgheqˆ}djZe0§ opqopªcXY4Ámn– gp`bi?k o¥:!gpV}#"eq²g¥gh§ VXqZª Y&c}dšgh`š›œx~e?ugheqdH›œc}k}ugh`ji0k ] g~eqº?Zžo¥gpEzVXD¤ ZL  ]  °$V}Z#xhZ 4 ( ¦ q§ 6 §ùH© :x 6 ªp"ª 0-© ,- EB‰ L " § qª  0 798 .'– & 01*2*)     5  + %$ 687 'Zg€c}o r Zghe?`jdHghVXZui0k gpZ#k g$iq›gpV}Z m}eqm*Z#xž« i0r. xIi Ê Zžk}' oiqË ?gkX(œi?<³ g—( Ê `foImX' xhk}iT3Êi?•akn2 ` r˜ ' r Z±ÊZ#‹0e9' Z#È ‹?kXË Z6Z60Æ kXxh/eqZ#gpÆx~Z0eq' ¿?dIÆ Y4uTxh‘XZ6`še?gh’ Z#kXÇ xh`j) `jk}i0‹&{Xk£i0«ghx€V}”eTgpV}g Zop<0cXYxh-/ mXeqxpxp&—`fgpop`b°$`jkXkX`š‹0‹lghe?Vdj›ùZe0m*ui0dbgF`jopY4`š`bgho—`j`jg •0Z6Z¹<Motgh¿m}e?gpxpˆXVXi0djˆ}Z`fopeq¡}VXˆXZxh`botrd `šg¹gz`bsH½ k¶À0cXgpZžU VXozVXghZ™`jZ6i0gpi?V}kAxhZ#Z#`bi?Yo|xhs4°$¤ VX`jk Zgh<¸?bVX¤6Z#d‡ `bxo C k}< i?V}kne?˜ ro¥Z#gh‹0iZ#kXˆZ6ZxheFeqgpmXZ™xh`ši?›Mˆeqeqk ˆXr `bdj`i0gzkXs±dbsLY4`jZ6›e0ghotVXc}ZxpZ0Y¿0gheqixpgpˆ`bkXZ ‹0u~e?V}djZe?xh<1e0£§ughVZ#$ &Wxh`j'#¯6–=Z )œrªIZ6•a½ `fe—c}e?gpdbVXo Z¤ {}e?i?djcXY4xhi0`jZ6otx$g|uopiacXZxp®±Z6djs0u`b«MZ#´­k klg~o m}iqeq›xpgp¦¢`fucX« dfeqx 132 Æ  Æ ‘XŽ ' Æ < (BŽ /*Æ ' Æ  (ù’0!‘ 6 6 Ç Ë 0Æ /Æ ' Æ ‘X Æ ) U VXZ9u#i?k r `šgh`ji0k¸iq› kXi?kX˜ r Z6‹?Z6kXZ#x~e?u#s·›œi?x~uZ6o i0u#opi?Z#mxpY4Z6ghkÃe?%Z `jk eq60k mXw<r¶xpi y*r r Z#hck}«±uopghZLU'o™iopi?Zgh›Ig&VX{XZi?i0›$ucX›œi?xpcXk `bZ#k}ghx uxhe?gpu#`bxpi i?s0k}Z#¿£®±o4e?uo¦¢`bZ#opk i «9ghi0o™{Xk i0iqe0x&› o Z¦ vX4¦¨e?gpYF8§ il6Xm} •TgªdjZ0eq¿kX`f<¸op&V£`f«&o›œi?U rx Z#VXeq‹?Z6dbZ69xpkXZ#6 Z#›œi?x~wxxheTZ ghy*Zr h`šZ6¿5› ‹?<ÂZ#¦¨4 k}`bZ#7§o\x~6ae?k} ª u¦¨4 i?slkn8§˜ VX6Xr i0 Z#ªd ‹0r Z#o¹/ kXi0Z6&lk xheq›œgpe?i?Z0k x « ´µopg|cXˆ}›œi?opdbZjg$iT°€i?›o¥›œghcXV}keTug|gp`b‹0i?`jk•0o Z#k9›œi?¦ x$°$otVXc}`fu~u~VV ghr V}Z#eT‹0g Z#kX< Z6xh%/ e0u&}s¿XVXZ#•0i0Z#d r xho6sL« kXZ6`j‹0V ˆ*i?xhVXiai r i?›M¦ u#i?k ghe?`jk}o$e?kAi?m*Z#k r Z6k}otZ : H  „ >²Z\¡Xc v <;n« £Z#g¹¦  ˆ*Z\ gpV}Z\›œcXk}ugh`ji0k ¦ §ù©tª >? = ; §z– A@ 1 9§ ,CB©tªt Eª D  U opVXV}iTZF°€e0o¹opeopinxpuZž`feqeTdbgp`jZ ¯žr eTghY4`ji0Z6kAe?opiqcX›xh© Z w < $ &W'#–<9)K"GO F`b<1o¹§kXGi?$ &(kX't˜ Ž© r )œZ6ª ‹?›œZ6i0kX*x Z#.<x~eTwMgh/Z L EO– ¦ 4 NQPRH§ ;IL 6a? ª & uS &U–›œi0TMx\e?uVdjJT 6N–wP&WyN0S« h L>²«Z—{`bop‹?Z#cXZ&xhgpZLVX¤Z opZ6½ cXZ6k}uZ§<1Xª"X# ui?ka•0Z#xh‹?Z6o;gpi±eFmXxhi?ˆeqˆX`bdj` gzsY4Z6e0otcXxhZ?« áá åLNMî ï 

(64).

(65) †. 

(66) 

(67) ! ! N N".   

(68) !. 1 0.9 0.8 0.7. µn([0,t]). 0.6 0.5 0.4 0.3 0.2 0.1 0 50. 100. 150. (/. n. 3|iT°. ' Æ 200. 250. $. 300. 0. 0.2. 0.6. 0.4. 0.8. 1. t. po dj`b‹?V gpdbs±m*Z#xpgpcXxhˆ9¦ ghi‹?Z#g€¦\‹?`b•?Z6kˆas ¦ §œ©tª ? = ; & ?& & & & ? §z– A@ 1 §,OB©tª1:-b– @ 1 §t–&B©tªtª-D  {i?›D`b‹?< cXxh Z|<9‰\"`foM mXeTdbiq›¬ghgpZ#gpx€Z r e4°$otY`šghe?V4djgpVXm*Z|Z#xpohgpeqcXY4xhˆ}Z|equ~gpV}`bi?i?k`fuZ$iq›iq¦›HmX V}e0E¦ ot4 Zžo;§ze0–oª*¦ 4{`j ‹0§HcX;?xpª Z / ¤¹&eqLk « r `bdjbc}otgpx~eTgpZžogpV}Z r Z6‹?Z#k}Z#x~e?us V¤6[eC• `be?kXk gh‹FVXr e—Z#gpx¥VXYxhZ e?e?kY—xtghr cX`ji0kXdšY¨gh‹ `šeq›œx~dbotZ¹e?ghueqotghgpgpe?`fxhozd£c}ghmX`buu6ghxheqcXi dbxhrjsZ?c}¿auop›œZ#g~i?o$djx ›¬˜µiqZ#eq›vn®mXe?kXY4cXZ|dfmXotY4ZždjZ0oƒZ6¿ e0EùgpÍ9otVXc}Zw xpZžu#%Io;e?wjkXeqLgi?xhZ|k}? ‡`b‹0u6CµZ#«;eqkXdHU Z6Y&xhVXeqcXZ6gpsLdjZ gpr`jdb›œZ x~ˆ r e?s4ugpg~i±Y—eqdecXu#dšghu#e0`ji?opm}Y4u6dje`fmXu#r eqdbZžZgp*o gp`b•?Z6E djZ™% s mX%¥r xpNÍ `jin»*u#LZ6Z6xpoh?bZ6F¤otk0ZžAngo ¿ i? u#xp›`j§zgpm–žZ6eqªxpx~`b+eqi?Y4k4&4Zˆ}gh`je0Y4Z#otx~Z mXo#r «db` Z6i?3€o k4Z6r •?ghZ6Z6VX‹?xtZ|ghZ#VXY—k}Z#Z#cXdbx~Z6dše?ghohu`šo#›œs ¿nx~e?°¥EùuwZ\ghxhe?mXi?dXxhm*›œiTcXi0•?k}opZ™`šugh›œgp`ji?i0`bi?x€kk e4‡ ¿Lua«Z6k}xtg~e?eqY4`bkAZ#dbus dfe? ohµo §z–iq ª › ›œcXk}&}u¿0gh°$`ji0V}k}`bu~o|V¦ÄVXi0gpd V}r eqog$i?k±gpVXe?Zku#i?i?m*k rZ#kL`šgh`jopi0Zk g ]

(69) 1 ÆaÆ Ë >Ê  2 Ë 0Æ /*Æ ' Æ T‘X’ Ç ) >¸VXZ#k <³`fo r Z#‹0Z#kXZ6xheqgpZ¹e?k r ¦ `bo m*i0op`jgp`b•?Z\eqk r opeqgp`foz¡}ZžoIgpVXZ\mXxh`jku`bmXdjZ i?0 79›|8 ˆ*i?cXk r Z r 0,1 2•e?xp<1`feTgh&`ji0Zk}vno`bot§ gh qo\cª e?Eœk ›œi?r x4`fo™ZvXZ6eq½ Y4c}e?mXddbZgpi `š› ¦" §z`f–žo ª«Fe>²?d r ZZ#otxVXu#iTi?°Ák gpgp`bV}kaeqcXg™i?c}ghVX^o L`fo\¿;°$dj`bY4`šghV`šg mX#"xh·i?ˆ§zeq–ˆXª€`b`fdjo\` gzs·kXZ6i?•?kXZ#Zx Zž½ c}eq%dHgh$ i4Š}¿XotiFghV}eTHg <1ui0k •0Z#xh‹?Zžo;Z#vam*i?k}Z#k gp`feqdbjs±›ùe?otg¥ghi±Š4eqdbYFi ozg€opcXxhZ#dbs?«  `j13g€2 `fo Æ k}' eT‘nghcX'xhe?TdH!‘ gp6 i' uÊ i0 k}¶op` !‘r 6Z6(x ?‘ngpVX (Z Ê k}'*i?) xhY41%2e?djÆ `b¯#Z r Æ op‘XZ6Ž ½ cX Z6Æ k}u< G Z\) iq>¸›Y4VXZ#Z6ke0otgpcXVXxhZ;Z6opo¥Z6i0½ kcXZ6$k}&(u'6Z¹–=) I§ < ª X# `bo r Z#‹0Z#kXZ6xheqgpZ?¿ G3  <1£§G$ &('6=– )œª   gh'V}`jY4eTg|`jghgpo;VXiqZ&›£gpuVXi0Z6k xp•0Y4Z#ixh‹?r Z6sak0k}gMeqopY4cX`fˆ}u™opZ6›œi?½ xhcXYZ#kequdb`Z6opoY iq››œi0§ x€Gªx~"eqX#k r i0YeqxhZ€ghxhue?i0k}k}otot›œ` i?r xhZ6Y4xpZ eqr gp`b`bi?k k}zo?b¤?EG8¤ ?jCµ¤ž«M†nÍA¿'¤i?D„ xhCqZ#L$iT•0`bk}Z#otxžc}¿žxp°¥ZžZ€o m*gpVXi?Z—`bk °Ig;Zži?eqcnº g . ߜàá£ß¬â.

(70) 

(71)  

(72)  !"

(73)  " A. 1.1 1 0.9 0.8. µn([0,t]). 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 50 100. ' Æ. 150. 200. n. (/. 250. ,. 300. 1. 0.8. 0.6. 0.4. 0.2. 0. t. bdu#§9Zi?gAkap§ •?§IZ6ªtxp'ª‹0*Z## k}'  u#« Zª\£iqˆ*Z#› Zg G SgpVX0ZxpŸ ZžmXU3ozxhghy i?xp`fˆ}uOe?ghZˆXŸr `bdjU` gzghy si²ˆotu#m}i?Z e0Y4r um}Z#Z²¡}e0§tkXu§ùgFZ Ÿ r opU3Zy¹ˆag~s o&ª °$1V}' \Z#k§G$ &(¦'6–=)œ`bª oFm*\i0'G2 op`šgh*`j•0ªZ«Ãeq{Xk i0r x e0wd r Z#™¿x4u°$i?k xhgh`jgp`jkaZ cXi0c} o Vq© O ~©8' e?opm}k e0rluFZr Zi4¡kX§ùŸ Z\U3gpy¹VXZª ·x~eqiqk ›r ›ùi?eqYÌY4`bdjw`bZ6Z6%o xpxhL i? kn˜­'{Xxhi?ˆ*w Z#k}`jc}N—o¥iqi0›MmxpZ6Zžxheqeqdjgp˜-•Ti?e?x djcXZ r u#" i?k +gp`bkaL cXi?co " ›œcX'k}u@gp`bi?w k}o¹N&i?k9e?uŸgp`bUkXy¼‹4ˆai?ksgpgpVXVXZZ  ›œi0xpY—cXdfe "  §œ©tjª  F  ‚ ¦¨§œ©  :x Eª  §ù©  =ª    'Zg 4ˆZ\ghVXZ Z#xh‹?i r `fu¹gpx~eqk}ot›œi?xhYeTgh`ji0kLi?k·§ ' ª r Z#¡}kXZ r ˆa\s  }§ Iª Á§ = § Iªtª # « ´µg€`fo$Z6e0ot`bd s±otZ6Z#kgpV}eqg$›œi?x€e?dj @w ™¿W.0+@F ,—e?k r w i4§ùŸ Uy™ª " " § ª§œ©tª 2?k§ 0©tª  §œ©tªG §k0©tª  __ "" F " " §z–ª§œ©tª 2?k§ 0©tª °gh¥EùVXVXZ6Z#Z4e?xhºeqZ;dbu°¥YFi0Z;i k `oz•0r g\Z#Z6xhotk0‹?c}ghZ6xp`šk}¡Z—uZ djZIr `bY4iq$ ›&(`šg\'6G –žˆaªs xh°$Z6Got`jgpgp«\VFxh`fU uŸ gpV}UZ Z—yÃr m*ghe?i†i?k `bk r$ &Wgg G'#–=&L\°)X$`b`fo¹oM`jgpkXe\V—iqug`ši0g~k}o'eqotk xhZžZ6½ oteTgpcXgpxhi0Z#`bYk}ugpu#`bZ i?iqk\›iq›ghghVXw;i Z—xp$ &(i0dbm`'6YF–ži Gª ot`jLg\`jgp«`biqU i?› kVXG³Z6‰nk£eq«Ü„¹¿žk gp`jr kcVXZ –#?j¤ž˜-eqm*†ddbY4CµZ#« xhi0`b¹i otrgZ#k}`bopu#cXiq`šgzgpxhsZZ r Z¡}kXZžo$eFYFZže?opcXxhZ™i0kLghVXZ °$VXi0djZ\db`jkXZŸ °$VXi otZ\xhZ6otgpxh`bugp`bi?k±ghi $ &W'#– )H`fo GH« .  . . .  . .  . .

(74) . . . .  . . . .  . !. . *). . . 1 23. . . . . "#$&%('. 0.  . .  6  ' 8  79 9:9;7. 1 23. 4. 1 23. .-. +) ,. ,. . 0. /. 54. ". . 6    '. . 79 9:9=7.  6  .  6 .  . <7. 7. . 0.  . +>. áá åLNMî ï 

(75).

(76) A. 

(77) 

(78) ! ! N N".   

(79) !. `bkA{{`j‹0`b‹?cXcXxpxhZZ ‰c‡—EB`b¦ d jc} otgp`fo$x~eTmghi Z6oto¥`jgpgh`bVX•?ZZdLu« i0k •0Z#xh‹?Z6k}uZ¹iq›'ghVXZopZ6½ cXZ#kuZ G±i0ˆnghe?`jk}Z r ˆ sLkXi?xhYeqdb`j¯žeTgp`bi?kiq›B<1 1 0.9 0.8 0.7. 0.5. n. ν ([0,t]). 0.6. 0.4 0.3 0.2 0.1 0 50. 100. n. 150. ' Æ. 200. (/. 250. 4. 300. 0. 0.2. 0.6. 0.4. 0.8. 1. t. op`j3|kuiqZ gp`f<1uZ §Ggh$V}&(eT'6g–=)œc}ªk ‚r Z#– xeqgpVXdbY4Z$i0mXotxhg€Z#•aot`bcXi?xhc}Z#oMdbs?e0« opopcXY4mngh`ji0k}o#¿?`š› <`bokXi0kn˜ r Z#‹0Z#kXZ6xheqgpZIgpVXZ6k`šg;u#i?`bk}u` r Z6o°$`jgpV ¦›œi0x`bÆe|odb-`be?opi?xp‹0dfeT6œZ;ghu(Z 2dfr Te?‘Xoh›œxpo’qi0žiqY¼‘!›X6›œŠ™cXŽ#k6equk gpr `bi?’?Q¸ko#¿?« °IƗU Z¥VXÊ3ot`b2 VXo< iTu#°·db‘ e0'opghoV}Ë iqeTG›ng›œ)gpcXV}”$kZ¥urXY—gpr `bi?`bcXkXkdj‹|gpo `j›œgpEBxhVXote0Z6ZIuZ ghxpe?Zž^nozd?Z6gh›œuxpc}gh`fk}`jui0ghuk`jgh•0`j[i0Z;Lk3uoti0gpk ] xhr`bi?u`jgpgp› db`b<s™i?k `bg~k}eqghu#º?V}djZžeTc o£gr ghgpZ6VXVXoZIZI›œcX›œxhi?k}e?xhukXYgp‹?`bZi?Ezk}¤Di?oL› ghe?r VXk}Z#Z#k}eqxhdbopY4i?Z ‹0i ui?ri?c}c}sao'k}k0gpg~eqi\eqY4ˆXZ#`fvadbuZ m*›œi?oti?Z#k}xhg€Z#Yk iqeqgp›`fdbyzeq` cXopdnY Y4i?›*mAE"m*?Üm‰qiq‡}i0ghZ#¿`jk k ¤ ghgpCdo6`fCqeq« Ldn« i?´­›k³°¥mZ6eqeqº&xpgpˆ`fui0cXcXdfkeqxžr ¿*Z gpr VX•T`fo\e?xpu`fdfeTe?ghoh`jo|i0k}`bk}ouxpdbZžc ur Z#Zžk o¹ghdj›œs cX`bk}k ugpghxh`ji i0rk}c}o u¦ Z r ›œ°$i0`jxgpV gpVXeZ dbop`fZotg~VXo U Z r VX¿0Z\gpVXYZ€eqY—`bk cXrdjgp`š`j®±›œxhu#e0cXughdšgze?sde?`bo¥k}gheqidbsnototVX`foMiT°2iq› gp<MV}¿ eq`Bgz« Z?Et«¤DghLIVXVXZ¹i0u#d ri?Y4o c}mXkcnrg~eTZ#gpx$`bi?°¥kZ6e?i?º›HgpVaVXs Z m*e|iqgheqVXcZ6o opr Z6i0o6xt« »  r k}`juY4ZˆZ6Ezk}¤dotL¥`bi?`bko Zži?oz›g~gpeqVXˆnZ ˜  0,1 2 <§  §œ©tªpª +L6©jw $ &W'#–=) (0 798 01*2   #N § +@&0ª  `ghfEBo VXotZ6Z4r Z—`jot»H^aYZ#ZžxhequZ#gpdbk `bZ6i?gpotkA`fgeqˆX[e|db« Z‡e?LIc}eTo ›œg&i?r dbi?ŠljxpiT»eq°€k o|r r `je?Y4o€¤0†«Z#`bkk e€ot`b?bZ6i?¤?k}k98¤ uCZ4i?• ›I`fghe4VXe Z±gh¥VXZi0(Z vXxpe0£Z6udZ6ƒg ‹?opZZ6e|g™k e?r iqc}xh›oZ\r›œcXgpi?x~dbxpBeq» k}<Hot˜-r ›œY4`ji?Y4xhZžY e?Z6k}opcXi?ot`bxp› i?Z0k·¿] `fi?«o™›I>²Z6gh½ VXZ—c}Ze?e?d'dbY4opghi±Z6i e?opopVXcXiT xh° Z §t<M–žghV}ªƒ¿'eTEœ`-g gp«±VXZ?`f] o «  ] `fo$eqdfopi—ghVXZu#e0otZ™°$VXZ6k <²`fo$#e % %¥Í i0x€eFÍ9w %Ijw L« G 31 2. . . . . . ߜàá£ß¬â.

(80) 

(81)  

(82)  !"

(83)  ". C. ´µ›<³¦ `bkAu#`boFe?opm*Z\i0iqop›`šghkX`j•0i?ZkX˜ e?r k Z6r ‹?Z6ekXZ#?x~d e?r u#Z#sx4LMughi0e?k º?gpZ6`bo¥k c}ghi?VXc}Z™o6›œ¿i?xhgpYVXZlEBY—eqdbcXxpZždšghe `šr›œx~se?ui0ghˆne?ghd;e?›œ`jkXcXZkr ugp`b`bkPi?k ?j¤0¤8 CqL iq› G EœxhZ6u6eqdbIghV}eTg n§ qjª ‚–  n§zj– :M " §z–ªtªH:M " §qª Eù‡ L e?e?kk rr `šeqg¹k}°$e?dj`js db£gp`fˆ*uqZ&« otZ6Z#klc}op`jk}‹ ?j¤ AC£gpVeTg r c}Z\gpi4gpV}ZZ#xh‹?i r `fu`jgzs±iq› i?k § ' ª¿  `fo€ozghxp`fughdjsui0k •0Zv Œ( '  Æ' K ‘nJX !‘ 6 TÉ!‘ 62 Æ ' Æ < Ž6F (B( Ž Ê ' ' “ Ê ' Ë È ËÊ'0ÆÆ /*Ž Æ ' ] Æ § Tq‘nNª  Æ  –  ˆ: 01*2 )    ¦  §ù©tª ?© Ê ' Ž Ê  Æ ' Ê ' 6K (J(ù!‘ 6 `be?k k r 01*U 0,2VX1 ) 2L`fo€¦Ä½ cX ŽZžohozeT¦ ghgp`j`fi0otk¡}§œ©tZ6ª(`foIo$?gp© x~V}eqi?Z`fk9otZmXre4xp`bk}`bk}k u#i?`jk mX?b¤6gpdbŠxhZ\`jC•aiqeq`f›eqk ˆdr i0`bk cX?b¤?gpk Z#8¤ rxhCj•TZ E-eqr ^adZ6•T0ueqgpxh`b>²i?`feTNk Z&gp`bA3i?opLIVXkiTo™cX°Kk § qr EBªZ#U ¿ax$gpVXghVXZ#VXZi0Z\xpe?Z6›œk}Yi?otxh°¥lY ‡ Z#LI x¥ gpr `fV} o iaeq Z6kXg|o Z#`š‹ ›;eT" ¦ gp`b•?§ qZ™`fª€o$ZotmvX`bi Y4u#Z#otmX`jmngpdjg$`b` •?›œ`jsZ › ¦ `fo;u#i?k}otghe?k0gž«Í9i?xhZ€mXxhZ6u`fopZ#dbs?¿?`j›¦ `bo;kXiqg ui0k}ozg~eqk gMgpV}Z#k #"·§ qª§ qª ¦  §œ©tª 0©eTg;Z6•?Z6xps ZwlŸ¸ZvXuZ6mng;›œi0xghVXZ¹m*i?`bk ghoIiq›'e r `bohuxhZghZ¹opZgIgpV}eqg¥ui0k gheq`bk}o &eqk r –?«MU VX`fo;xhZ6opcXdjgI`fo;dfeqxh‹?Z6djs r cXZ ghu#i4i?k}i?otcXghx$e?k ugIi0k°$r VX`jZ6gp`bkLi?kxhZ6›œoti?gpxxh`brugpZ6Z ‹?r Z6kXgpZ#i&x~Zže?e?u#u~s?V±«U `bk VXgpZZ6xpZ6•T½ eqc}d e?)quWdj` U3gzs d'žVX§ uSi?d :r o –i0Vª U3k 3Ÿ $šX¿ &`jkT@gpV}u Z T-m}eq xpgp`fu–0cX« df> eqx$Z\u6e?ui0opZ¹kTyz°$Z6uVXgpZ6cXxpxhZZ|¦ÄghV}eT`bgo  ghVXZeqkot°¥Z#x `fo kXiqg€m*i0op `šgh`j•0Z\ZvXuZ6mng$`jkgpV}`bo€u6e?opZ?« Æ Ñn  $>) ´µgM`fok}Z#•? Z6xtghVXZ#dbZ6ohomi opop`jˆ}djZ;gpi\ui?kozghxpc}uge¹x~eqk r i0Y¼YF Zže?opcXxh Z ¨V}e•a`jk}‹€gpV}Z;›œcXkugp`bi?k S  O –  X: 0,1 2) ¦¨§œ©tª  ?©£e0o'`jghoY&cXdjgp`j›œx~e?ug~eqd?›œcXk}ugh`ji0k&i0ke€ kXi0k0ghxp`b•a`be?d?`bk gpZ#xh•Teqd-«£wxhZ6u#`bopZ#dbs?¿ `ji0›Iˆn¦ghe?`jk}`fo¹Z r ee0m*oi0ghopVX`jgpZ™`b•?e?Z&djY4u#i?i k ozgpg `bkaotcXcXxhi?Z™c}o&°IZž¤eq˜µmºFZ6djxp`b`bY4i r`šg$`fu\iq››œcXghk}VXuZ\gpot`bi?Zžk³½0c}opZ#c}k}u~u#VlZ¹gpi?V›£eTYFg Zže?opcX¦¨xhZ6§œo™©tª § 0l©JXª¨"X#–?¿ gpi0VX0k `fo|$ &(Y4'#Zž– e?)*op°$cXV}xpZ&i0op`bZo r Z#k}op`šgh`jZžo °$`šghVlxpZžotm*Z6ug$gpi 2™e?xpZ\‹?`b•?Z6kˆas  4  c ù § t © ª  5  ¦¨9§ 6 §ù1© :< 6

(84) ªpª 7 © w $ 9U 6 '6§ W:¸–Vª U 6 $ ' 32 68 7 r °$r `bV}otgpZ#xhxh`jZˆ}cnghgpVXZ Z9r x~`jeqk k $ &(i?'#YÏ– )-« mX¥VsLe?opc}Z6†oop`jk} ‹6

(85) gpZžEu~u VXkX+ `fu#o &Xr J¿ Z6& •?Z6Tdji0mZ r T ›œi0 x 6 %  %¥D–ÍLFe?eqxpk ZAr `bÍ9k r w Z6%ImZ6w k r E"Z#?b¤#k [gL¿£e?¤?k ¿*r d‡ C|LcX¿}kXi0`j›œkXi?ZxhYFu#e?dbks ok}pVXi?iTkn° ˜ r E"Z#?‹0[3Z#CqkXLZ6ghxhV}eqeTgpg Z$ eqk `frForkXZi0¡}knkX˜ r `bkXZ#‹‹?Z6AkXZ#e?x~oMeTghgpZ VXZ€`š›'i0e?mk Z6r ki?`jk kXghdbsFZ#xh`š•› e?dX-iq§z›H– gh4 VXª i0 <opGZ &} « oÍ9otci?u~xhV4Z#iTgp•?V}Z6eqx6g¿qe0opopcX Y4§ qEª`bkX ‹\: gpV}eq§ qgª  <`b& o °¥Z4BV}§'e•?ªgZ E¬¹ghVX°$Z`jgpdfV·eqxhmX‹?Zžxhi?ozg$ˆeqe?ˆXo `bm*dj` gzi0sAohoti?`bˆXk}dbZ?Z\¿£i?ˆ*m*iqZ#ghklV²`jY—k ghcXZ#djxhgp•`je?›œxhdHe0i?uklghe?°$dVX›œi?`fu~xhVLYeqghVXdb` Z#opsYo¹ui?i?c}› d r ?ÜD„ VXCIi?e?d kr rL¿}?eq‰?k dŠ rC;VXi0Md r  ›œi?9x i?ki0k«  Æ 6ù‘n ( Ê ' Ž É (œ 2 1 Æ J( Ê Ž4 Æ Ž 6œžŽ  ( ' *’ 6 Ë ( ' /- ( Æ Ž  1 Ê Ë ’qžŽ ) ghm}VXxpZli rU Y4c}VXuiq`fghogpo\`bot•Tgpi?eTc ›¥ghr `jV}i0s&e?k£° xp<« Y4e?>¸oi0kX`jk`j`bgpu6otV}o™mXi?`biqxhcnZ› gr mºaˆ Z6kXxpvs iT`bi °$?TADr dbC-`bZ ¿0u—r °$‹0›œcXVXZk`bu~i?uVFZ›gp`b‹?i?? Cn`bk•?¿$o\Zž¤6ogpŠniAkX¿$i\‹0¤0xpZ#8¤ `bkXCµ‹?*¿Z6i0xhxp?BeqAi0gpC€c}ZFomXY&xhxpi?ZžcXotm*djcXgpi0dj`jopgM›œZxhi?re0kXug~dbxhseqe?dMk mXrY4`fui?ghZ6YcXe0xhotZ6cXi0oxhx Z6gho\rV}ZeT`bghkgMZ#`bxheldjYFbc}ot`bot`bkXgpY4`fx~ozeTmXghgp`bdjZZu ° es?« ¦el¨m}§ùxp©tU ªi0VXˆ}‚ZeqˆXop– `b`jdY4:`šgzmXs9 db@Z6Y41otg Zž§e?$,OopBcX`jZž©txpotªZF¯F›œ›œi0mXi0x$xhx&i oteqri0dbYFc}uZ. g\†°$+ wP`jgp–?V²$ «&(xh'#U e?– k $šVXÀar `b`bo&i?kLY eqghk VXmXr `fo$Vue?u#dbope?i0Z6opopo™Z€Z#db`bghs9o¹VXghZ\xhVXZ#xpdfZeTZžozghotghZ m*xpr Z6`fuu#zgh`b‹0`je?i0Z#dkLkXu6Z6e?i?xhop›e?Z&dj< `b¯#°$Z VXrghZ6ciFxpZ—$$&(`bgp'6Z#V}=– ¯)Z&`bm}›œo cXxpiu#kdjr uZžc}gpeq`buxhi?djghks o G. . +). . 4. 4. 4. . 4. 4. . . . . . . áá åLNMî ï 

(86).

(87) ž¤ Š 

(88) 

(89) ! ! N N"   

(90) ! ghY4e?VXxpZžZ Z6e?opZ|opucXi?m}xpkxpZ oti ` <lrr Z#c}`bxhk uZ ghr?jo6¤0¿ 8¤ `be?C*k k e?rxp? CXZ r ¿™gzisa¤6k}mXŠniq`f¿™u#g¥e?¤?otdj¤=bgpC-s&c ¿¹ri0°$s4ˆnVXghkXe?`bu~i?`jVk}knZ ˜ rrr i¶Z6e?‹?o;Z#kXk}°Ii?Z#gZžx~eqe?m*ºui?s0db`b`jk «'Y4g´­k`jgIi?r cXi?Z#gL›HZ r m}gpxpV}gpi0VXZ ˆ}Z¹eqYZˆXvXeq`bdeqxp`šgpgzY4`bs—kXmX‹ YFdbeqZ6Zžo;dbZ9e?iqop›+k}cXzxheT`bZ6ghkno6cX¡}«xhk}Z9{X`ši0ghiqZ|x›&mX`bk}opxhi?ozi g~Y4r eqc}Z³k}uu#gi?Z? › ¿ `bi?k}›Fotgp§ZžG e r  iq›€< u#i?Uk}< op` r §GZ#$ &(xh`j'#kX–‹ )¬ªpª< X#  e?« o&°I Z cXxr i}U J¿ VX?jZ6¤0i?8¤ xhC¥Z#u#Y i?k}¤lop` rZvnZ#x~VXo `bˆXi?`jkgho$ eq&(db'6 =– )IgpV}elZ°¥›œc}Z6e?k}º³ugh`jdbi0`jY4k}o±`jg—¦ i?›$›œe³i0xotcX°$ˆVXotZž`bu~½0Vc}Z#gpk}V}u#`bZo k}i?xhY4e?dj`b¯6eqgp`bi?k`bo kXi?g€kXZ6u#Z6ohope?xps0« ´­klghVXZ&m}e?xtgh`bu#cXdfeqx€u#e0otZ i?›gpVXZ&op`bYFm}djZžozg¹€`jZžot¯m}xpi r c}ugho6¿XghVXZ&eqm}mXxpivn`bYeTgpZ™›œi0xpY—cXdbe4‹0`j•0Z#kl`bk ? CdC£›œi0x gpVXZƒe¹eqc}o r i0xt» r `bY4Z#k}op`bi?kiq›B<³`fo$`jY4mXxhiT•?Z r `bkgpVX`fo$m}e?mZ6xƒE %Ii?xhi?dbfeqxhs‰ L« ghe?VXxpZ\Z ?bY&u¤6i0dŠ cXk CXdjgpgpe?`b`jkk ›œx~c}r e?i?u?bc}¤?g~o eq8¤ C1dneqeqEBk otkrZ6eqZ¥dbohsae?eTopdbghop`f`bo'Fi ot›œi?sL?b¤ž›}D‰ e—dj`bCaY4mX›œi0xh`šgMx`jk}i?e¹u#›*`jum}opdbcXi0djZ opˆ}Z#opi?dbZ6›s™½ ˆ*xhcXZ#i?Z#dfcXkeTk ghuZrZ6roZ r i?m}>› xp•Ti0GeqˆX°xhdj`b$Z6eqY‚gpV}`bi?Z#`jkk}k&o6ghgp« VXVX¥Z¥Z i?gpr Z6gpZ#VlxpgpYZ#e?xhoohY4otiqcX`j›}k}Y4gp`bVXotmngpZ gh`f`juI`bi0knu6k}¡}e?o$kXopDZ`jeqgpLxhZ ¿TZ™mmXxpxhZ6Z6ixtdb›œeqr i0vac}xpZ Yur g `bkgpVX`fo m}e?mZ6Fx EùU VXZ6i?xhZ#YÌ[e?k r €Z#Yeqxh6º A L« `ghbY4i4mX‹?´µdb`b›¥`•?u#Z¦ `šgZe4Eù`fˆXuo¹i?cnmY4g|i mXk}otdbiq`jZgpg|`bgh•?Z\uZ&i0xpY4Zže?otk mXcXr djdjZ#g$egp›œZdi??L¥x d r`jkghZ#VXx\?bZ ¤duAY&i0Cµk0¿c}ghe?dš`jghkak `š›œcXr x~i0e?`jc}k9uo6gheq¿X^ad£gpZžV}uopghm*Z—`jZ6i0Y—ukAghcXxp„Fdšc}ghYÌ`š°¥›œx~Ze?iquu› ghi0GHe?djbd« Z6equg€keqˆdbi?sagpopVl`fo€xhiqZ6›MopcXghdšVXg~Z&o$dbiq` ›JYF?b`j¤?g ¤8GACeqiqk › r G3l`?b¤dAbo C ˆ}opZ#cnZ6gY{opoI`beqk}gpk}eq`fZ6ozdbj›œus0s9Zž;¿ opeloh?j¤žeqdŠotxhghC's4eTeqghgpk `jii0r k}u#i??beq¤?k}xh8¤ slopC'` rZ#e?xhZ#dbop‹?x i4i °Ir ozZžgh`fueqc ºr mXs±xhdb`ji?Y4`bm*kn`jZ#¡}ghxpkXo gz`jsHi?gpÀZ\›gpopmXV}cXxhZ#ˆ}i k opr Z6c}gp½ VXucXghZ4Z6o k}Y°$ueqZžVXoIxpZ6gpxpi?`bZ¹kX›¥‹0gp§ e?VX< djZ\Z4UKx~ot<eqgpk xhc}r G§ $ui?&(ghY '6cX=– xp)œmXZ ªtV}ª r X#e0`fotopZže? o «mXeqm*ÍAxhZ6Z¹i?eqxhx~kXZ#o™i?iTg¥eq•0k Z#`-«rxž`B¿?« r `š`jg›« i?¦ ›'gh`fVXo€Z m*kXi0i?opxh`šghY`j•0eqZdb`jeq¯6Zk r r oteZž½ ?cXd r Z#Z#k}x¹u#Z?ui?« k gh`jkacXi0c}o#¿}gpVXZgpVXZ6i?xhsL`bk ?j¤žd† Csa`bZ#d r o ghVXZ—e?djY4i0otg|opcXxpZu#i?ka•?Z6xp‹0Z#k}u#Z U VX`fo³opZ6ugp`bi?k¼Z#k r o9°$`jgpV‚kXZ6° r Z¡}k}`šgh`ji0k}o9eqk r e mXxp`bk}u#`jmXdbZÃi?›4otgheqgp`fozgh`bu6eqd&opZ#dj›¬˜µeq®kX`šgzs ›œi?x <Eùwxhi?m*i0op`šgh`ji0k ‰L«¨^aZ6ugp`bi?k ‰ r Z6e?dboL°$`šghV2ghVXZ³kXZžuZžopoheqxhse?k r opcn®±u`bZ#k gu#i?k r `jgp`bi?k2›œi?xLk}i?kn˜ ghr^nVXZ#Z6Z‹?ughZ6‹?`jkXi0Z6Z#kkXx~Z#e?†Fx~u#eqs9ˆXd£xhu6iq`bZe?H› }sop<1Z?«IH«xp²^nZ6Z6dbeq^augpZ6ghZ6`jui0oIgpkl`bghi?VXkÃ[±Z6opeq‡9Z k m}rY4xpZ6iT„—e?•amop` rcXZ6Z6xtxh›œZ6oi0o¥xpe9°$Y dj`jiTgpgp°¥VAVXZ#Z eFxY—º ˆ*`bcXi?k djc}rgpk`j›œiqrxh›e0›œuY&i?ghx&e?cXd'djgpgpeqVX`bmXkvZ dbeq` e|u6dbsaeTeqopghc`f`jo •0o Zriqi0B› u#xte?<²» ohu#e?re k `br rYFZ6o¥Z6Gk}Y4xpopZž`jZ6i0ote0m*kÃotZ6c}iquxpgp› Z0`b•?«<¸Z#db`bs?k « Æ '  (œ ( Ê ' ŽF‘ ' Ë ' Ê 6‘XF ( Ê ' Ž ' ÆaÆ Ë Æ Ë 2µÊ  m  Ê 1 Ê FŽ  (ùF ( Ê ' , ‘ ' Ë2 2 Æ Ž Æ  Æ 6 ) ghu#VXdji Z&otZ e?r djmX ~«FV˜µeqe {Xˆ*r i0Z`bx™u™g Z6op•?cXZ6ˆX xp`bslk0LDgh`bZ#&(k0xh'gh•TZ#eq‹0d8Z#'}iqx ›   $ &('#O–+ – N/)&Ek}eT°IghZ cX xhr e?Z6LdjkXbs±iqNdghLZ6ZF« k}uU ˆai s VXr Z6Z klr ›œˆai?sgpx VXc*Z« wopZg iq›¿ ¡kXX`šgh Z4°I i0xeqr k o¹r iq ›¥djZ6r kXZ#‹qkXghi?V gpZ6o€gpi0VXk Z   ˆas h eqk r Ld&(''} O– N ˆas h «U VXZ™otZ#g h e?ug~o;i0kgpV}Z¹dbZ›¬g $ h « >²Z r Z#kXi?gpZ  7 i0i kLghr VXZ#Z k}riqgp`foœZ yzi0 `jk g$cXhqkX¿'`bk}i?e?k Y4Z#hdbsAP gpVXZ±h¹u#saˆadjs`bk ghr VXZ6Zx u‹?i0Z#k}k}u#Z#eqx~gpeTZ#gpkZ reTgpˆa`bi?s k*i?« m*Z#|x~eTZ6kXgh`jiqi0ghk£Z«ˆaU s Vac}o6¿agp›œVXi?Z x$b*Z6•?˜-¡}Z6xpZ#sd r †‹?w Z#k}Z#x~hTeT¿XgpdbZ Zr g ˆa*sA§ !gh'^VX ªZ/ i 4 o`jk ) ¿n°$hqVX« Z#xhZ hFl`fo\ Z#3k  r iT °¥

(91) WZ r LD.N°$+<`jgpV²– gpVX Z otghe? Xk r eq x r  cXdšghxh^e? 8Y4N0Z« gpxh`fu r `botghe?k}uZ  r Z#¡}kXZ r ˆas ghiFgp5VX79Z 8 c}: opc}«e?U d V}r ƒZ `bote|ghe?eqk}cuo Z†r i0EùxpxtZž» otm'r «`bY4XLZ#¿k}eqop`bk i?rlkr iqZ6›kXe4iqghopZcXr ˆ}opˆ Zs g$iq5›798 Ÿ : Eù« xpZžotm£« h L¥`fo$ui?kot` r Z#xhZ r °$`šghVxhZ6opm*Z6ug . . . . . . . . . . .  .     .   . . . .  . .

(92) . . . . >.    .  . . .  . ߜàá£ß¬â.

(93) 0¤ ¤ u°$#dji V}ot`b=u~c}'§VlxpœZ¥©tuª iqi0›k0eqg~gpk eqVXr `bZ k} ho ˜­©*e§œ©tr Eùª`bxp«;u Zž{Xotopm'i0Z#Y4«x$©G©j`šL˜µi?wP«m*{X$ Z#&(i0k—'#x –gpZ) i™Eœw·ghxhVXZ6§kZ$op&Wm£xp'#«`b–‹?ª© V ¿wg `jk §œgh©tªZ#hxhr L •Z6e?eqkXd1k iqEœr ghxhZ6Z6. o¥opm£gh+ «VXgpZ –0VX¿`jZ€k =ghu#§Z#s ùxhdb©t•` ªzk e?rdEœxhZ#$Z6©x8opLm£iq«›* i gp'pVX£§©;ZJ:©t.ªVL\)*r 0‹0Z#Z#kX$ kX&Wi?Z6gp'#xhZž=– eqo )µ«gpgp`bi?VXkZ   B²`bo$gpVXZ Yeqm}mX`jk}‹—›œxhi?Y h¹gpi $ &('6–=) r Z#¡}kXZ r ˆas©©  © O # © U3 « 2\`bo¥ghVXZ cXkX`f½ cXZ Y4Z6e0otcXxhZ™i?k·§ h' —ª otc}u~VgpVeTg$›œi?x€e?dj /w hq¿ 2?§i ª  4 « °$V}i03|opZiT°¸r Z#`šk}› op

(94) F`šgz`bsLo¥°$e`šk}ghVi?kXxhkXZ6Z6op‹0m*eqZ6gpu`bg •?Z€ghi Y42¹Z6e0`fo otc}Z6xp½ Z$c}i0eqd£kNgpEi ' ZhD L¿ ›œi?xj.0+<–€°¥Z r Z#¡}kXZ\

(95) 4e?o;gpVXZ¹YFZže?opcXxhZ X4 *§ ˆ\

(96) aª §  p © ª  ˆ§©t ª  5  ¦¨§ 6 § B§ ©pŒª :x 6 ªp8ª  

(97) U §ˆV}\Z¹eq

(98) nxhª"‹?X#c}YF u#Z6i?k kaghoM•?Z6xhxpZ6‹0½ Z6cXo`bxp°¥Z Z6r e?›œºai?djxIs¹wgpi™xpi0e€mkXi i0ot`jkXgpkX`bi?Z#kA‹ eT¤¹gh`jeq•0dfZoti&xhe?68op7k VXr iTi0°ÂY gpVY4eTZ6gIe0°$otc}`jgpxpVLZ mXxpi0

(99) *ˆ}«eqÍ9ˆ}`ji?db`šxhgzZ#s—iT•?i?Z6kXx6Z0¿ž¿?otgh`bVXk}Z\u#ZotgpZžV}½0ZIc}Z#x~k}eqknu#Z ˜ i0re&mi?mXYÁZ6xhxhiqeq›ùyzgpe0Z6i0uuxghgpi?`b i?x~ko¦¨Eù

(100) ˆ s §O 6r §&ZB¡}§ §kX©p`jª gp

(101) a:l`bi?ª&k i?6 `šk³›ªtªkX¿Xi?uvw kX+ k}i4Z#§–0‹0¿0eq¹e?gp`bxpªM•?Z ZgpY&VXY4Z6cXk Zžgpe?c}ope?cXdjbxps—Zžo$`bk m*§ùr©ti0ªZ6ohmotZžZ6§ kopopr Z6

(102) nZ6o€k0ªgpk§gžVX ¿0Z—©t`jªgM`j›œY4 i?dbm*iTi?°€xpghoeqk ›œxpg™i0YmXxp§œi0©t?b¤6ªm‡Z6C}xtgzgp

(103) HsV}k§ eq0gpgi©tª gpdLˆVXZZ « & & 'Zg < r Z6kXiqgh!Z   2q«F4 U  VXZF›œi?dbjiT°$`bkX‹LxhZ#Ye?xpºl°$ `bdjM ˆ*Z4c}otZ#›œcXdM`bk³ghVXZ4mXxpiai?›;iq ›  U VXZ#i0xpZ6Y¤?« ¥s u# i?úk}«MotÍAgpxhc}i0xpuZ6gpiT`bi?•?;k Z6x6< ¿?op `bk}<uZ B h|«M`boI{}gpi?i?x ghe?†djbw s r `bh€ohugpi0V}kXZ¹kXmXZžxhui?gpˆZ r eqˆX¿ °I`bdj` Z¹gzs V}er •?`fozZ ghxp `b< ˆXcnSgh `ji0k± < iqS› <9§ i qª r Z#m*Z#<k 9§ ri o¥TªMi0kX›œi0djs4x¥i0e?kdj #"  +<&X« %Ii0k}opZ6½ cXZ#k ghdjs Eœ[ L & § <Ijª  & §  < #ª 2( >²Ze r i0mng gpVXZu#i?ka•?Z6k gp`bi?v k &%$ Q  &X« ¾™`b•?Z6k¶i e9±kX`bo i0rk Z6gpxhkX`jiq•agh`feqZ rdIu#ˆai?s Y4m}&0e0«uU gFVXopcXZ ˆXdbZ#`bk kXgp‹?Z6gpxpV•TeqiqQd › ²4iq`bo F› r $ &(Z#'#kX– i?)-gp¿Z ghr VXˆaZs eq® kXš« ZL`bk}uxhZ6e0ot`bkX‹AYeqm}mX`jk}‹9›œxhi?Y $ &('6=– )i?k ghU ¾™¾™`b`b•?•?Z6Z6kklgzeF°¥xhiFZ6e?xhd e?*k rŒ¿ i?$ *(Y )ot•ghe?e?xpk `feqr ˆ}o¥dj›œZži0o x gpVXeqZ k df(reqxh'‹?Z6¿Xx¥` r`bk Z#gpk Z6gp‹?`jgzZ#sLx db`bZ6k oho¥r `bgpotV}gpe?xh`jklˆ}cni?gpx$`bi?Z6kl½ c}`fe?o dHr gpZ#%i k}iq*'gp« Z r ˆas ) [ ' « Y4Zžeq¾™k}`bo¥•?ghZ6V}keTe—g xp0 7Zž8 eqd*•3e?$ djc}Z + r q§ .'›œc}ª k}UCu¹§gh`ji0q.',k jª +  eq&}k « r e—mi ot`jgp`b•?Z|›œcXk}ugh`ji0k r Z#¡}kXZ r i?(k - h}¿ + q§ .'ª 2i  ¹§k.'ª otr

(104) gh`bÆ eqot6gpgp2Bxh`fÈ oz`j/‘ˆ}gh`b.cnu6gpeq'Z dbrj(ùs LÇ «`jka) U •T¥VXeqsLZxh`feqotughk i0eqg€k}gpozˆa`fghozsxpghc`bu6VXueqi0gpd£`bxpi?`bop¯#kZ#i0dj›¬k gh˜µVXgheqeqZ ®dHY4kXghxh`šZ6gze?e?sLk}opopcXmXdbxhxpeqZi0gpm`b< i?Z6k}xti?ƒogz›sE-w¦ i?xh› i?<²m*`bo&i0`fop¤o `j˜µgpY4m`bi?Z6e xpk·r `bi Z\¤ r Z`b`bvnou mXe?¤db˜µk` mu#r `šZ6g€xpgp`bk}V}i iTZZ r ° `b!u?« Ae«ÍAqxhi?Z xhZ#cXiTkX•0`j›œZ#i?x¥xh`šYFg¹db`bs o m  Ê 1 Ê FŽ (ùF ( Ê ' ,10

(105) ž‘nF (BŽ# (ù’0!‘ 6 Ž Æ 6 2BÈ ‘ . ' (ù 3Ç 254* J. + –     ‰ 

(106) |t N N  "W |  

(107) 8tK   ƒ$ &('6–=)   |p =X~qp† 4! „6 7 qpN " ^{ =     K"

(108)  " §I< & ª *#  0 r  4 < & 5 §ù©tª  687 ¦¨9§ 6 §œH© :< 6 ªt8ª  32 

(109)  

(110)  !"

(111)  ".  .  . .  . . .  . . +. . . .  . . . . 4. 4. . 7.  . .  .  . . .

(112) . . -. áá åLNMî ï 

(113). $.

(114) ¤‰ 4D

(115). 

(116) 

(117) ! ! N N"   .   

(118) !.

(119) ! "

(120)    ?<  3  3> qpN  !"

(121)  < &* 4! 

(122) 

(123)  9 !v =r. .s | p. §k0©tª ¦¨§ 6 §ù©H:x 6 ªpª0< &*4! §?©tª EB„L 3>;|p *    |X~ >

(124)  N 

(125)   " pN  § zª &  

(126)   Kw i4§aª 3>  +–3s & §œ©tª < & §?©tª ) [    Ž & §œ©tª <  §?©tª ;| N

(127)   

(128) § < ­ª n ) [ qp  

(129) <   „  9r 3> =s;& §I< & ª *[ #  !3 W Žt

(130) 9~ "z* !D€ r;6  !"

(131)  < & K" &  [  >K"  Z„ Q 3>  

(132)   w i4§aª^s & §œ©tª < § ?©tª )  &0§œ©tª <k§ 0©tª |; N

(133)   

(134) <  )  <  & § zª \pN  !"

(135)  " < s †w s 

(136)   !  !H

(137)  >  qpN 

(138) F =r;lpN

(139)  ‹3  

(140)  "  „ U V}Z™•0Z#xh`š¡*u#eTgh`ji0k}o eqxhZ\djZ#›¬g$gpiFgpVXZ xhZ6e r Z#xž« &! } $" $!

(141)  ! %' $ $Ä&Â $" $!

(142) & U e?ˆXV}`bZ™dj` gzu~s?V}¿0e?`bxhoe0ghuVXghZ$Z#xh¡}`j¯žx~eTotggp`bmXi?xpk4i0i?ˆX›£dbZ#gpYÁVXZ™ghikXi0ˆ*knZ|˜ r oti0Z#‹?dj•0Z6Z kXr Z#¿0x~e?equ#k s&r i?gp›V}`b<Mo;¿nmX`BVX« Z?Z#«bk}¿ai?°$Y4VXZ#Z#kkXi0`bk4o <9`bo;m*Zvni0opmX`jxhgpZ6`b•?ohotZ|Z °$r `j`bgpk±VU m*VXi0Z#opi0`šghxp`jZ6•0YÌZ|mX¤$xhi?•aˆn`be ˜ gh¡*VXuZ—`bZ#k {}g|i?cXuxhi0`bk Z#rx¹`ju#gpia`bi?Zk®±›œui?`bxZ#k r ghZ6o|‹?iqZ6›IkXZ#¦¢x~e?«|u#s?U «V}wZ#xhk£i?¿Hm*wi0xhopi?`šghm*`ji0i0kop`šgh[`ji0‹0k9`j•0‡±Z6o ui0mXY4xhZ6mXu#`bdjopZ#`jgpi0Zžk}o€o¥ghVXi?k`bo¹gpxhV}Z6ZopcXotdšm*g¹Z#ˆ Z sAr eiq›r u#`ši?»HkaZ#•?xhZ#Z6k xp‹0g™Z#opk}cnu#›¬Z˜ ghiŠ—`bkAu#e0otZ\iq› r Z#‹0Z#kXZ6xhe0us0« {{}i?x }Z6i?•?xFZ#xhZ#s •?Z6.Mxps + u –w%dbZy g ¿' db·oZg zg~¦¨4 eqk § r uXª—›œi?otx gheq<1k §r G$ ›œ&(i?'#x – )¬ªÀ$ §'  ¦¨;'VbM§ù©t9§ ª   4 ' 6'}!?X4©«  ¥ªtGª sÃX# e? ohot`fc}o&YFelmXYgp`bi?e?0k xtgh`j4¦¨kX‹ § eq&0dbˆªZ—°$`jgp–?V « Z#vnmZžugheqgp`bi?k²–?¿n°$VX`fu~VAui0k •0Z#xh‹?Zžoghi  < T« 132 ÆaÊ  Æ  $ 0 - Ê ' È Ë 0Æ /Æ ' Æ ‘}’ 3Ç 2 !p    3 | ~ >

(143) !!

(144)  " 

(145)   }{|t   §§ ­ªzª&I§ §' < ª X#   &  ª" < &   

(146)   r |  9~

(147)  . §§ nzªª  N< . S¼+ ––s '   K‚"*– "

(148)  BrK " < " "

(149) !  Br

(150)     9r6 K" 

(151) .   X4 X4 § aª 0. + , Â7§ 6 ''H6DX4 ª w y Ld&(''V& N s 687 6 6 6  & 687 4¦¨7§ 6 6 ª  & „ m  Ê 1 Ê FŽ (ùF ( Ê ' 4 0 Œ’ Ê ' Ë (œ ( Ê ' 2µÊ LË Æ /*Æ ' Æ T‘X’ 3Ç 2 3  K" qpNX¦  " N" |t H HqpN 0,1 2L¦ "  " 7 " |p     |X~l* € >

(152) |> >9  ƒ    t

(153)  3N" + q§ .'ª       

(154) W ) 0,1 2L¦¨§œ©tª  01*2±¦¨§ ª ¸iq§ .'8ª  Eù† L 4   Ž 687 „  " -& 

(155)  " %&   + k§ .'j D   "  –  01*2*) ¨ ¦ ù § t © ª  0 * 1  2 ¨ ¦ ù § t © ª ª  i§ . 01*2 01*2 .'ª qpN ;<  "  Ž~ =

(156) ! „ X4  5  687. <. . .  . . 4.  . . 4. . 7. . . .  .

(157).  . . 4. . . . 7. 4. .  . . . . . .  ". . 4. .  . . . .  . . .  . . . "!. . $#&%. ('. !. " ) $. ". ). *. 10. /. . .-. . ',+. 2. 4. ߜàá£ß¬â.

(158) ¤ž‡. 

(159)  

(160)  !"

(161)  ".  Ê 1 ¦ Ê ŽF(ù"F( Ê K' " + |t0

(162) 1  Æ  Æ Ë qpN>Ê2 0Ë 1*2L0Æ /*¦.Æ ' Æ"T‘X ’" 7 3Ç 2 " >qpN ?  >K

(163) "|   |p   <  F "  Ž>~ > † 

(164) tK

(165) „N

(166)  " t

(167) ^sB"  K". $      

(168) W i  0,1 2L¦¨§œ©tª  0,1 2L¦¨§ ª @Q  E9A3L ) 4 687 \p =Ws   |p >

(169)     r . " §z–ª 0 7 8 . – 01*2 < . m. '. qpN. !. ". " ) $. . *. ). .-. . ',+. . %$. }  ""    "z> Ž~ |tK „   ,) DL u / &. Æ Ã²‘n ghi·ˆZ9ka¤ cXFdb-U ¿¥VXe?Zlk r kXi0eTkng˜ r djZžZ#e?‹0otZ#g±kXZ6i?xhkXe0ZSus·4¦¨ui?§9u(k r ª—`šgh`jgpi0i kˆ*`fZAokaeqcXdb‹?dbZ6B«2ˆXx~U eq`fVXuq`f«Ão±´µu~gV}e?›œi0xhe0xhu#uZ6gho4Z#xhu`j¯žZ6eTxtgpg~`beqi?`bkk ot4¦¨VXiT§°€u}ª&oF°$ghV}`jgpeTV g k}k}i?i?knkX˜kXr Z6Z#‹0‹0eqZ#gpkX`b•?Z6Z€xhe0`bk uslgpZ#VX‹0xhi0e?d r ˆXo\dbZ$i0›œk cXk}eugpu#`bdji?i k}oto¥Z r i?k opcX$ &Wˆ}'#opZ–g)°$i?›I`jgpV›œcXkYFuZžgpeq`bi?k9k¤0o&«)¦ %Ii?°$k}op`jgpZ6V·½ cXZ#Z6Y4k0ghmndjgzs s r `jZ6k ‹?ghZ6Z#kXxh`jZ#i0x~x™e?u#`bk²s&`fgpoIVX‹0Z±Z#opkXZZ6gxp`fi?uq› « ‰ L e€Z#xhZ eqxhZ™gz°Iiop`jY4mXdbZ ui?k r `šgh`ji0k}o cXk r Z#x€°$VX`fu~VkXi?kn˜ r Z6‹?Z#k}Z#x~e?usV}i?d r o nª U VXZ6xpZ\Z#va`fotgho +<&4opc}u~VgpV}eqGg ¦¨ 4 §uXª  &—›œi?x€e?djHuVw/ n§y 8y|ª« #ª¥¦ `fo$eFgpxh`j‹0i?kXi0YFZ#gpxh`bu¹m*i?dbs k}i?Y4`be?dHiq›gpVXZ\›œi0xpY ¦¨§ù©tª ‚j– : 6  6 @ 1 § ,OB  6 ©t1ª :x 6 7 § ,OB  6 ©tª °gh$V}V}eTZ#g4xhˆZ ¦ f `fo`fo k}ei?kX¡}kXkXZ6`j‹0gpeqZ±gp`bop•?ZZ?g6¿£¿gpgpVXV}ZZ  6 eqe?kxpZr kX i06 kXeqkXxhZ6Z4‹0eTopghi`j•0gpZV}eq`jk g gh Z#‹?Z66 xho6¿e?k r 6 gp:<V}Z 6  eq–FxhZ`bk²mi?i x otr`jgpZ#`bx™•?Z gpilr `f`botk}gpop`bcXk}xpuZg `bk gpZ6‹?Z#x~o¥otiFgpVeTg ›œi0x€eqdb§ 6 ª 6 6 wRL  – '}&('6O– N L § &('8'} &0ª N W¿ r iaZžo kXiq6 g r `b•a` r Z 6 6  6 « {}i?x$`bk}otgheqkuZ?¿n`j› J  ;4eqk r f  L – ' ? N™ gpVXZ6kghVXZu~VXi0`bu#Z  ¼–0¿   ? sa`jZ6d r o¥gpVXZ\›œcXkugp`bi?ko ¦¨ §ù©tª Áj– :  @ 1 9§ ,CB ; F ©tHª :x 7 § ,OB ; F ©tŒª :  @ 1 9§ ,CB ?  ; ©t1ª :x 7 § ,OB ?  ; ©tª °$V}Z#xhZ eqk r e?xpZ\eqxhˆX`jgpx~eqxhskXi?k}kXZ#‹ eTgp`b•?Z™`bk0ghZ#‹0Z#x~o#«  ‡ L £Zg <ˆ*Z\gpVXZ i0mZ6xheqgpi?x¥i?kghVXZ¤˜µmZ6xp`bi r `fu€›œcXkugp`bi? ko$iq›  §BŸª r Z#¡}kXZ r ˆas )4 © 6 – O  F© O  § : ª8 7 ´µ`j›ggh`fVXo Z&`bY4›œc}YFk}uZ ghr `j`fi0eTk²gpZ4¦ ghV}eTr gZ#¡}›œkXi0xZ r Z#•0ˆaZ#s³xh0s ¦ u Ìw@–Jy : ¿  4 '`b9§ o¹uXƒªkXi? k}kXZ#9§‹ u(eT gpª`b•?«Z0^a¿}iAghVX`šZ#› k  gpV}Z&›œcX&Xk¿ uÃgp`bi?`fo\k·iq¦ › Y4ohZ6eTeqgp`fk ot¡}Š}Z6¿o|eqgpk VXrZ u#oheTi?ghk `brot›œ`šsagh`j`ji0k}k·‹l›œgpi?VXxZLkXu#i0i?knk ˜ r r `šZ#gh‹0`ji0Z#k kXZ6›œxhi0e0xus³kXi0opkn`jk˜ r uZ#Z ‹?¦¨4Z6kXZ#9§ u(x~e? u#Fª  s³ eqk &Ar `j› opc}u<u~V²/ gpV&}eT« g %I¦¨4 i?ka9§ •?u(Z6 xhFª opZ# dbs?¿&leq`šdb› ugpV}Z/ ›œ&AcXk}equxhgpZ`bi?iqk}› o4gp¦VXZ ›œi0xpY ¦ Á–j: ›œi0x€oti0Y4ZF¤#˜-m*Z#xh`bi r `bu w  §BŸª™°$`šghV   &}« !. . .  +. !.  +. . $. $ . . !. . $. $.

(170). . . . .

(171).

(172). 

(173). .  . . !. . . .  . . . . 0. áá åLNMî ï 

(174). 0.  . 0. +. . .

(175) ¤6[. 

(176) 

(177) ! ! N N".   

(178) !. #`bu k9i?cX^aU k Z6g~uVXeqgp`fˆX`boi?dbZ&kxpZ6op[}YZ«bg|¤?eq« xhi?ºÂ›yz°$cXY4`bd ™m9ˆ*mZ²i0`jc}k otg~Z#o|›œcXoheTd\gpgp`foti ›œs u`bi0kXk}‹otghgpVXxhc}Z&u°¥gZ6Ze?vnº?mXZ6dbkX` u#Z `šr gl°¥ZvXZ6eqeqY4ºmXmXdbxhZ6`jokui?`bmX›djZ&›œcXiqk}›ugpˆ*`bi?i?cXk}kor °$Z r`jgpV •Teqe xh`beqr gpZ6`bi?k}k}otZo ghVXZ\w›œi?xhdbi?m*iT°$i0op`j`jkXgp‹F`bi?dbk}Z#o Y4‡4YeqeXk ¿Xr °$[FVX`f°$u~V`jdbZˆvnmXZ dfm}eq`bxpk}iTo¥•0Z gprVXZ `bkli0xp^n`bZ6‹?u`bkLgh`ji0i?k›m}[xp« ‰Xi0m«MZ6U xtVXgzs9Z\§mXaxpªia« i?›'iq›U VXZ#i0xpZ6Y ¤™ˆ*Z#‹0`jkoI°$`jgpV IÆ ^{ |tKà ‘   $„  "" qpN 6 4¦¨§ uXª Q „

(179)  N 

(180)  "³§ zª 3>§ nª | \pN 

(181)  R‡ 

(182) .  m  Ê£>Ê 2 ) 3€iqgh`bu#ZMgpVeTg ' ‚–Me?djY4i0otg'opcXxpZ6djs0«^a`bk}uZ 6 4¦¨9§ uXª -Q2¿6© O 6 4¦¨9§ uXª  6 `fo$e4ui0k0gh`jkacXi0c}o •?Z6xhop`bi?kLi?›¦¢«U VXZ6xpZ#›œi?xhZ?¿a›œi0 x$Z#•?Z6xps . + ,X¿   '  ' § ''^4 ª ‚ –      Ž X4685 7  ¦¨§ 6 §ùH© :x 6 ªpª ?© Á– X4     5  4¦¨8§ 6aª   )   ‚ 0© ‚– 687 X4 F   5  ¦¨  4 8§ 6 6 ª   _ )   ‚ ?© ¼–  

(183)

(184) _ F ‚ _ 687 4 F   5  4¦¨7§ 6 6 ª  _ )  ‚–    F _ F ) 7 687 _ ‚.  _

(185).

(186). ^opncX`jk}xhZ#u#db†Z s± `j› 'e?k r ='^i0 kXX4dbs± `š›e?gpxpV}ZFZ\Y&›œcXcnk}ghc}ugheq`jdbi0s9kl`jiqk ›r .³Z#m*•TZ#eqk xhr`be?Z#ˆXk dbg&Z6o eqk r cXkX`j›œi?xhY4djs r `bot gpxh`jˆ}cngpZ r ¿£ghVX`bo\V}i?d r o eqdbY4i0otg   X4 F 5  4¦¨7§ 6 6 ª  _ )     ' §  '=' X4 ª w $ &('#– ) O F 

(187)

(188) _ F ‚ _ _ ) 7 687 `fo ` r Z#k gp`fu#e?djbs±Zž½0ceqdHgpiA–0«MU VX`bo€`bo Zž½0c}`j•TeqdbZ#k g$ghil§ aª« m  Ê£>Ê 243Ê 2 132 ÆaÊ  Æ  $>) Ui opZ#Z±ghV}eTgA§ zª&eqk r § ­ª—eqxhZ±Zž½0c}`j•TeqdbZ#k gž¿MxpZžu#eqdbghV}eTgFgpV}ZLYeqmXm}`jkX‹  r Z¡kXZ r `jk ^nZ6ugh`ji0k¶¤—`bo™e±mXxhiqyzZžugh`ji0k£«™Í9i?xhZ#iT•?Z6x6¿}`šg™›œi?dbjiT°€o|›œxhi?Y EœX[ L$ ghV}eTg |§ 26S ª  §  < #ª 2X« %Ii0k}opZ6½ cXZ#k ghdjs0¿agpVXZ\Z6½ c}e?dj` gzs  ¹|§ 26ª ||§ 26ªIsa`bZ#d r o & §  <#ª  § & §  <#ªpª eqk r & § < #zª & wVLd&('#– N0« ghV}eTg&´µg;§ `faoª¥u#`bdjY4ZžeqmXxMdb`jghZžV}oeTg¹§ § zªIzªe?k `bYFr m}§ dj`bzªZ6¥o¹`jY4§ zªmXdb`jeqZžk o r § nghªV}« eTg|§ zªeqk r § aªeqxhZ¥Zž½ cX`j•Te?djZ6k0 gž«´µgIxpZ6Y4e?`jkogpiopVXiT° u#§ iaZª®±Ui¶#u`b Z#mXk i?xhgh›}iTo¥kX•?i?Z9i?›k}gpkX¦ÄV}Z#eq‹ g²e?eTxpgp§ Z¹`bn•?ªk ZIc}gp`jdjY4xh-`b«M‹?mX´µi?dbg¥`k}Z6`fi?o²o¥Y4gp§ ZV}ghZ#­ªxpkl`f¿€uozm*kXg~eqi?i?kdbgpsa`fr ukXe?Z9i?x Y4r ghV}`fgpeqeTV}dfgleqog€mX°$xh¦ `ji?gpVFm*`bZ#Y4o¥xpgzghZ6s<VXe?Z¹kL§ adb¤$` ªLYFeqY4`jk g€r Z6`be?,k gpk}VX o±Z$ohghG§ eqV}$ &(Y4eT'6glZ =– )œkauªZ6cXi?xtdjg~n›equ#e4`bi k otZ#Zž®±{X½0 i0uc} cX`bZ#Z#xpk}k `bu#Z#ghZox e?k r VXZ6xpZ6ˆ sopeqgp`foz›œsa`bkX‹±ui0k r `jgp`bi?kç aªFE ¼¦ °$V}Z#xhZ I©QO §z–J: 1 §9,CB©tªpª U §t– : . $ 3. .

(189) . . . $ 3. !. . . . .  + "-. . . . $ 3. . . +.  $ 3 !. . . . . '. +.  +. . '.  +. '. +. ". -. +. . . $ 3. +.  +. '. .  +. '. +. +. +. +. !. . +. . $ 3. '. . $ 3. '. !. . . . . +. '.  +. +. +. +. . . 7. . . . . . . . . . . . . . . . . . 0. . 0. . @. . 4. ߜàá£ß¬â. ".

Références

Documents relatifs

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

[…] Chez nous, le parterre […] est composé communément des citoyens les moins riches, les moins maniérés, les moins raffinés dans leurs mœurs ; de ceux

But on another hand, increasing q at constant operative pressure results in decreasing the equilibrium pressure, by decreasing the operative temperature (Figure 9), and finally, it

R´ esum´ e : On pr´esente des r´esultats autour du probl`eme suivant: pour un point mat´eriel dont l’acc´el´eration est born´ee par une constante donn´ee, et pour un

Ensuite, pour déterminer lesquelles des voix créées pouvaient être qualifiées d’« androgynes », nous avons fait un test de perception dans lequel nous avons demandé

Toutefois, des améliorations sont à prévoir car bien que la protection induite par ces glycoconjugués soit significative, elle n’est cependant pas optimale pour mettre

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Venant compléter les nombreux guides spécialisés qui informent le touriste gay sur les différents lieux et structures qu’il pourra fréquenter s’il recherche son