• Aucun résultat trouvé

Mathematical and Numerical Studies of 1D Non Linear Ferromagnetic Materials

N/A
N/A
Protected

Academic year: 2021

Partager "Mathematical and Numerical Studies of 1D Non Linear Ferromagnetic Materials"

Copied!
36
0
0

Texte intégral

(1)Mathematical and Numerical Studies of 1D Non Linear Ferromagnetic Materials Patrick Joly, Olivier Vacus. To cite this version: Patrick Joly, Olivier Vacus. Mathematical and Numerical Studies of 1D Non Linear Ferromagnetic Materials. [Research Report] RR-3024, INRIA. 1996. �inria-00073669�. HAL Id: inria-00073669 https://hal.inria.fr/inria-00073669 Submitted on 24 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. Mathematical and Numerical Studies of 1D Non Linear Ferromagnetic Materials Patrick Joly, Olivier Vacus. N˚ 3024 Novembre 1996. THÈME 4. ISSN 0249-6399. apport de recherche.

(3)

(4)   

(5)  

(6)   "!$# % & '!$)(* +,.- !$/10$2

(7)  3  4 5687:9+;=<?>A@CBCD=ECFHGID=;KJL;NMO9QPR6C<OSTQU VWYZ+X [\Z]$^`_bac[RdfecgihjalkbmnZ+h2kOofhjap[\acqjgrhsapkOm t Z1qsufqjh Z:X [$Z:q2v kO[wofepZ xfZ:q y{z kr|}Z4h ~m t Z:q  gro€o€k z h t Z z Z+v W Z z v W Zm‚rƒO„O ?]†^ˆ‡ k?‰rZ:[RŠ z Z\‹+ŒrŒO1^Žƒb\ogi‘OZ+q. ’ “•”+–4—?˜™r–rš › mRh W acqogOo€Z zœ Z{g z ZžapmbhjZ z Z+qjhsZ t apm$h W Z{mŸd[\Z z acv4gief[\k t Z4epacmf‘kr 8grŠ€qsk z Šfacmf‘ ¡Z zjz kO[wgr‘OmfZ+hsacvH[wgihjZ z apgrepq•kOŠ8Z4ub¢ n acmf‘h W ZmfkbmŸ¢NepacmfZ+g zL£ gOm t gOdŸ¢ £ a¤ Kv W alhj¥ ¢s¦alecŠ€Z z h3ecg œ§œ alh W$z Z+q¨o€Z:v h•hskh W Zo z kOogr‘OgrhsapkOm1grm t q¨v4gihjhsZ z acmf‘ kr €Z4epZ+v4h z kO[wgi‘bmfZ4hjapv œ g©‰rZ:q4ª › m«h W acq œ k z¨¬nœ Zv kbmqsa t Z z h W Z‹4­®o z kOŠfepZ+[Iª¯†Z\° z qsh1q W k œ h W grh±h W Zv k zjz Z+q¨o8kOm t acmf‘²{grdv W uo z kOŠfepZ+[ W grq gd€mfap³ŸdfZ‘OelkbŠgiežqskOepdfhjalkbm´ªQ¯†Zµh W Z+m t Z z al‰OZwgmŸd[\Z z acv4greHqjv W Z+[\ZµŠgrqjZ t kbm¶grm¶groo z kbo z acgihjZ[$k t al°8v+gihsapkOm¶kr ž·¸Z+Zr¹ q q¨v W Z+[\ZOºh W grh œ Z1q W k œ hjko z Z:qsZ z ‰OZqjkO[\Z1ac[wo€k z h¨grmbho z kbo€Z z hjalZ:q2ki 3h W ZRv4kOmbhsacmŸdfkOd€q{[\k t Z+eqjd€v W gOq2h W Zv4kOmqjZ z ‰?gihjalkbm kr 3h W Zmfk z [»kr 3h W Z[wgi‘OmZ4hsap¥+grhsapkOmngrm t h W Z t Z+v+g©uµki 3h W Z1Z+elZ:v h z kO[wgr‘OmfZ+hsacv Z:mfZ z ‘ruOª VW Zqsh¨grŠfapelaph¼uµacq,o z k?‰rZ t dm t Z z g q¨dfaphjgrŠelZ$²ž½ £ v kbm t aphsapkOm´ª¾ž‰rZ+mbh¨dgiepeluµqjkO[\Z1mŸd[\Z z apv+gie z Z+q¨dfephjqv k zjz Z+q¨o8kOm t acmf‘\hskwh W Z‹4­¿[\k t Z4e•g z Zo z Z+qjZ+mbhjZ t ª ÀÁbÂYÃjÄ$ŀ—?Æ3”rš Ç g?x œ Z4epe=¹ qZ+³Ÿdgihjalkbmq¢ £ gOm t grdf¢ £ a¤ Kv W aphs¥4¢}¦apecŠ€Z z h±ecg œ ¢,È apelepZ ¢N·¸kOq W a t gIh W Z+k z Z+[.¢2°8malhjZ t a¤ÉYZ z Z+m€v Z q¨v W Z+[\Z. Ê¡ËRÍ}Ì ÎÐÏ:Ñ Í,Ì Ò3ÓcÎÐÔNÕ+Ö ×{Ø¡Ù3ÚLØÜ۞Ý?ޕßáà,âäãæå©çè©çé8ßáêæë©ì}çjâäëOÝií3î ïîæðsñ ò{óäô:ðjòäõöbç¸÷Yø©ç}ùNå?â}úì}ç}è©ç¼ûrÝrü©ýÐâäå©ì}çáî 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.

(8) Áb ”

(9) Á š.  /  / n 2 µ    Q      )#i !\ 10$  n, !$+ 4  ,  +, % &. ~mµq4¹ acmOh Z  z Z+q¨qjZ t grmq{v Z z gOoo8k z h gX ecgR[\k t Z+ elacqjgrhsapkOmmŸd[Z  z ac³ŸdfZ t gOmqHepZv+grq{[\kOmfk t ac[\Z+mqjalkbmmfZ+e t Z±[wgihZ  ¢ z apgOdŸxR ¡Z zjz kO[wgr‘OmZ+ hsac³ŸdfZ+q3grŠqjk z ŠgOmOh¨q3kOŠZ+ apq¨q¨grmbhjq g±X epg±epkra8mfkOm\epapmZ+ gia z Z t Z £ grm t grdŸ¢ £ al Kv W aphs¥ ¢s¦apepŠ8Z z h4ºOZ4h¸v Z z Z4ecgihjal‰OZ+[\Z+mbh X epg¶o z kOo€gi‘OgrhsapkOm¶Z+h g« X ecg t alÉ z gOv hsapkOm t Z+q\kbm t Z+qZ+ elZ:v h z kb[\gr‘OmZ4 hsac³ŸdfZ+q+ª†‡ kOd€q[$kbmbh z kOmq t ¹ grŠ8k z t ³ŸdfZIelZo z kOŠfe Z:X [$Z g« t Zµ²{grd€v W ugOqjqjkfv a Z g t [\Z+hdmZ\dmap³ŸdfZwqskOepdhsapkOmodapqmfkOd€qv4kOmqjh z dfacqskbmq d€m q¨v W Z+ [wgµmŸd[Z  z ac³ŸdfZRg t grofhZr º t Z  z ap‰Z  t d v4epgOqjqjap³ŸdfZwq¨v W Z+ [wg t ZR·¸Z+Zrº t kbmbhmfkbdqZ4 h¨grŠfepacqjqjkOmq epgIqjhjgrŠalepalhZr ªdZ4ec³bdZ+q z Z: qjdelh¨gihjq t ¹ Z xoZ  z apZ+m€v Z+qmŸd[Z  z ap³ŸdfZ:qqjkOmbh °8m€giepZ+[\Z+mbh,o z Z+ qjZ+mbh Z+ q+ª Å8–+”4è™ Á§ š ¾ž³Ÿdgihjalkbmq t Z Ç gix œ Z+eleY¢¸epkra t Z £ grm t grdŸ¢ £ al Kv W aphs¥4¢}¦apepŠ8Z z h{¢Hh W Z4 k z4Z:X [\Z t Z1ÈalepelZ4¢=·¸kbq W a t g$¢žq¨v W Z: [wg$gOdŸx t alÉ Z  z Z+mv4Z+q{°8malZ:q.

(10) ƒ.  

(11) 

(12). . . "!$#&%. (*),+. -/.10. %:9 % ;. '. 2. 34+657.8). =<Q

(13)  4\!µ

(14) { 4!$. ¯ pa h W kbdfhZ+mbhjZ z apmf‘\acmOhjkwh W Z t Z+hjgiapecq2ki •h W Z t Z4epacv4gihjZ±h W Z+k z uki  ¡Z zjz kO[wgr‘OmfZ+hsacqj[4>NqsZ+Z  ¡k z h W acq@? ACBNºD?¤‹+ƒ BLk z ? :‹ EBGFäº œ Z1v4grm Š z apZH€u t Z+q¨v z apŠ8Z±h W Zo W ufqjapv+q2ki 3kOd z o z kOŠelZ:[nª IKJML*NLPOQOQRTSVUXWZY7L\[Q]_^a`\RTYML. ¯ W rg h œ Zv4giepegcbs ¡Z z¨z kb[\gr‘OmfZ+hsacv[wgrhsZ z acgied\[wg©uIŠ€Zqjap[wofepu t Z °8mZ t grq2kbmfZ1h W gih o8kOq¨qsZ:qjqjZ+qgq¨o8kOmbhjgOmfZ4kbdq[wgi‘OmZ4hsal¢ ¥:gihsapkOm  ªe>K‡ kOhsZh W grh œ Zgre œ g©ufq¸dqjZŠ8kre t elZ+hshjZ z q¸ ¡k z ‰OZ+v hjk z q4ªfF VW Z+qjZ [wgihsZ z acgiecqžela ¬ Z ¡Z zjz aphsZ+qžk z ‘Og z mfZ+hjqžg z Z œ a t Z4epu dqjZ t apmQh W Z±[\apv z k œ g©‰rZ t kO[wgiacmµgrq{q W a¤ ¡hjZ z qHk z v4a z v4depgrhsk z q ¡k z acmqjhjgOmv ZOª › mµh W acq2ogro8Z z{œ Z œ kOdfe t og z hjapv+dfepg z epu\ela ¬ Zhsk qjhjd t uQh W Zo z kbogi‘bgihjalkbmµki 3Z4epZ+v4h z kO[wgi‘bmfZ4hjapv œ g©‰OZ+q{acmqsa t Zq¨dv W [\grhsZ z acgiecq œ,W acv W g z Z1q¨gia t hjkwŠ8ZgrŠ€qsk z Šfacmf‘w[wgihsZ z acgiecq gOm t œ,W kbqsZ±Š8Z W g©‰Ÿapk z acq{Z xo8Z+v hjZ t hskwŠ€Z±qjh z kOmf‘Oelu t Z:o€Z:m t Z+mbh2kOmµh W Z  z Z+³ŸdfZ+m€v urª¯†Z œ apepeYqjZ4Z œ,W grh{qjZ+mqjZ œ Zv4grmQ‘rap‰rZ hjkh W Z:qsZ1grq¨qjZ z hsapkOmq+ª g  ¡Z z¨z kO[wgi‘bmfZ4hjapvH¥4kOmZžacqg z Z4‘Oalkbm1apm œ,W acv W ij h „ºigrm t œ Z t Z+mfkOhsZ2ŠOulk*giepefqjdv W$z Z+‘rapkOmq•acm$q¨ogrv4Zrª_Ÿdv W g z Z4‘rapkOm œ apeležŠ€ZwZ xgO[$acmfZ t acm h W acqogro8Z z kbm«gq¨v4giepZ\epg z ‘OZ$Z:mfkOdf‘ W hjko8Z z [\alh1h W ZdqjZ\kr {v4kOmbhsacmŸdfkOdq±[wgi‘bmfZ4hjal¥:gihjalkbm‰rZ:v hjk z  >mnF{gih2grmbuhsac[\Z:oqjk œ Z t kwmfkrhv4kOmqja t Z ez prqts_uwv s u gOmbu t kO[wgiacmµk z{œ grele´v kbmv Z:ofhx>y? zBкD? BwF᪠VW Z1[\gr‘OmfZ+hsap¥+grhsapkOm  acq,grq¨q¨d[\Z t hskwkOŠ8Z4unh W Z £ grm t gOdŸ¢ £ al Kv W alhj¥ ¢s¦alecŠ8Z z h{Z:³Ÿdgihjalkb{ m > ££ r ¦ F}| ~. j‹rªp‹EF >. . ~. . j€ ‚ƒ€ „† > „c‡. .  € €. FTˆ 1‰. Š. ˆ. ~. . ~t. œ,W Z z Z‹ˆ t Z:mfkrhjZ+qHh W Z d€qjdgre‰rZ:v hjk z o z k t dv4h4º €_Œ€ apqh W Zd€qjdgre¾žd€v epa t Z:grmwmfk z [Iº ‚ apqHh W Z ‘ru z kb[wgi‘OmZ4hsacvž Kgrv4hsk z > ‚$ „ŽF gOm t apmIh W Z1epgOqsh2hsZ z [Iº Š apqv+giepelZ t h W Z t gr[wofacmf‘µv4kOmqjhjgOmOh+ºgrq œ Zq W grele´Z4xofepgrapmnecgihsZ z ª › h2acqH° z qjh{qjh z giap‘ W hs ¡k zjœ g z t hjk\q W k œ   z kO[ h W Z=> ££ ¦rFHZ+³Ÿdgihjalkbm=µgih2epZ+grqjhž ¡k z [\grelepuwh W Z1v kbmqsZ z ‰?grhsapkOmacmQhjap[\Z±ki  h W Zmfk z [»kr 3h W Z[wgi‘OmZ4hsap¥+grhsapkOmIgihgrmbuQo8kracmbhr| ~.  Œ ~t. j. ²žkbmqsZ:³ŸdfZ+mbhsepurºfh W Z £ £ ¦ Z:³Ÿdgihjalkbmnv+grmIŠ€Zqjap[wofepal°€Z t hsk j‹rªæ ™F >. ~. . ~t. j–€ ‚X€ „ > „c‡. . .  . Š € ˜— €. FTˆ 1‰. ~ ~ ’‘ € t. ˆ. ~. . „. € “Ž”•j. . œ,W Z z Z. ~t. IKJMLš[›Rƒ[›UƒœS/UXWZYMLP[›] ^ž}Lnœ_Ÿ4 ¢¡’£  /¤E¥§¦. VW 1 Z hjkrh¨gieL[wgi‘bmfZ4hjapv°€Z+e t „ > „c‡  Fžacq t Z4°8mfZ t gOqg\q¨d[¨| >j‹rª Ž ƒF „ > „c‡  F j©„ ‰ „$ª¬«G« œ,W Z z Z „ apq2h W Z[wgi‘bmfZ4hjapv°€Z+e t gro€o€Z:g z apmf‘wacm Ç g?x œ Z4epe=¹ q{Z+³Ÿdgihjalkbmq j‹rª ]¸F ڕÚ"庹+õáñ»y¼ >. ¯ ®®°. ­®®. ~t± ~t. ~ µ · —  ~ . j³²7´. ˆ¶µ. j©´. ˆ „. >.  F. &— >GmnF j . >Gm ‡  j. „ŽF.

(15) ]. G › 

(16)  fG ¸. h W Z z Z+epgrhsapkOmIŠ€Z+h œ Z+Z+m. º „. ±. gOm t. . j‹rªæ™F. Š8Z4acmf‘. >. „. ± j. . — ². . kz ±. j . — >„.  ‰. F. › mK>s‹Oª ]›Fžgrm t >s‹Oª ŽFäº œ Z t Z+mfkOhsZŠbu$| ± h W Z[wgr‘OmfZ+hsacv±apm t dv hjalkbm´º  µ h W Z1Z+elZ:v h z acv°€Z4e t º   · — grm t  — ºh W Z1Z4epZ+v4h z apv±o8Z z [\alhjhsap‰baph¼ungOm t h W Z[wgr‘OmfZ+hsacvo8Z z [\Z+gOŠfalepaph¼uµapmIh W Z1‰?grv4d€d[Iª Ç k z Z+k?‰rZ z º œ Z W g©‰OZo z Z  ¡Z zjz Z t hsko z Z+qjZ+mbh2apmnh W apqogOo€Z z h W Z1mfkbmnv4kOm t dv hjal‰OZ±v+grqjZŠ€dfh,mfkwmfZ œ t aµv+dfelh¼u œ kbdfe t g z acqsZ al 3h W Zv kbm t dv4hsap‰Ÿalh¼ u  œ grq t alÉCZ z Z:mbh2  z kb[®„ª › hžapq{ac[\o8k z hjgOmbhHhsk\mfkrhjZ h W gihžh W Z:> £•£ ¦rF¸Z+³Ÿdgihjalkbmacqžg$mfkOmŸ¢ÐepapmfZ:g z t a¤ÉYZ z Z+mbhjapgre8Z:³bd€gihsapkOmwacmµhjap[\ZOº œ,W Z z Z+grqžo€Z+kOofepZ kr ¡hsZ+mnqsh¨d t uwepapmfZ:g z [wgihsZ z acgiecq¸acmµh W Z,  z Z+³ŸdfZ:mv u t kb[wgiacm œ,W Z z Z aphHacq2o€kbqjqjacŠfelZhsk t Z °8mZ h W Z[wgi‘bmfZ4hjapvqjd€qjv4Z+ofhjapŠfapepalh¼u gOm t hsk œ,z alhjZ h W gih  j  „ ª › mµkOd z v4gOqsZOºOh W Z z Z4ecgihjalkbm œ,W acv W elacm ¬ q  grm t „ apqžap[wofepacv aphsepu t Z °8mZ t Šbuwh W Zv kbdofepZ t qjufqshjZ+[ > ££ ¦rFžZ+³ŸdgihjalkbmŽ Ç g?x œ Z+eleN¹ qHZ:³bd€gihsapkOm€q4ª £ grqjh,ki ¸giepeNº€h W ZRZ ÉYZ+v4hsap‰rZ1°8Z4e t „ ª¬«G« >  F2apq h W Z z Z:qjdfeph,kr qjZ4‰OZ z gieLv4kOmbh z apŠ€dfhsapkOmq+ª › mh W ZR[\k t Z œ Zg z ZapmbhjZ z Z+qjhsZ t acm´º œ Z z Z+hjgiacmIh œ k\ki h W Z+[ | >j‹rª Ž F „$ª¬«« >  F j©„ ‰ „ >  F œ,W Z z Z „ acq,gqsh¨gihjapv°€Z+e t gOm t „ >  Fžacq,g\°€Z+e t ki grmapqjkrh z kboOuOºg$°€Z4e tt Z z ap‰rZ t   z kO[ gOmQZ:mfZ z ‘ruQki grmfacqskOh z kOoburª¯†Z t Z4°8mfZ1h W Z+qjZ±°€Z4e t q2acmgR ¡Z zjz kO[wgr‘OmfZ+hsacv ¥+kOmfl Z kAgih,qjZ+v hjalkbmI ªl‹Oª IKJML&S/U [›J7LDS/U [›] ^tUƒœlS/R’ŸMLDœ. qgR[\k t Z4e´kr apm€qjdfecgihjapm‘\mfkbmŸ¢ÐelacmfZ+g z  ¡Z zjz alhjZ+q+º œ Z‘rZ+hžh W Z ¡krepelk œ acmf‘w²{gOdv W uY¹ q{o z kOŠfepZ+[   z kO[4>s‹Oª ŽFäºt>s‹Oª ]›F¸gOm t j> ‹rªæ™FM| g. ­®®. ~t± ~t. ®® ®® ®® ®® ¯. j‹rª. > fzF. ®® ®®. „ ®® ®® ®®°. . j. ~. ~t. ˆ µ. j³²7´. ~ µ · — ~t. j©´ ± . — ². . ­®®. ˆ „. j€ ‚X€ „. > „c‡ . œ aph W. .  € €. F ˆ. ‰. ®® ®®. j‹rª AŽF. ¯. . ˆ. >. ®®. ®® ®®°. %:9"! ;. . . . µ>Gm ‡  j. „ŽF. ®®. . >Gm ‡  j. „ŽF. ®®. ®® „. >m ‡  j. „¸F. ®®. µ>Gm ‡  j. „ŽF. ±.  € € Š. µ — >mnF j. . j. — >GmnF. º ­®®. ‰. ± — >mnF j. ~t. . ~ „ ~ ‰  — ~t ~t j³²7´ ˆ¶µ ~ µ · — ~t j©´ ˆ „ ~ F ˆ j€ ‚X€ „† > „c‡ ~t —. ®®. . k z ºfal  œ Z1qsac[wofepa¤ ¡uIh W ZqjufqshjZ+[®ŠbuµZ+elac[\apm€gihsacmf‘h W Z[wgi‘OmZ4hsacvapm t dv hjalkbm ­®®. „ŽF. ®®°. ~. Š. ± >Gm ‡  j. ¯. ®®. ®®. ˆ. ~. . ~t. œ aph W ¯. ®®°. ®®. . >Gm ‡  j. „ŽF. „ — >mnF j. µ — >mnF j j. &— >GmnF. ,3 \ !\!R#$#%#† . 2V œ kR[wgiacm[wgih W Z+[wgihjapv+gie€acq¨qjdfZ:qHmgrhjd z giepepu\g z acqsZr|{‹rª › q¸aphžo8kOq¨qsacŠfepZ,hsk$q W k œ h W Z Z4xŸacqjhsZ+m€v Zrºbgrm t h W Z:mh W Zdmfac³bdZ+mfZ:qjq+º kr  gqskOepdhsapkOm¶hsk h W acq$mkOmŸ¢ÐelacmfZ:g z o z kOŠelZ:['&ºH fª•È k œ v4gOm œ Z t apq¨v z Z4hjal¥+Zµh W ZQZ+³Ÿdgihjalkbmqkr h W acq$o z kbŠfelZ:[ hjk‘rZ+h$g mŸd[\Z z acv4gie´[\k t Z4epacmf‘wki L ¡Z zjz kO[wgi‘bmfZ4hjapv[wgihsZ z acgiecq œ,W acv Wnz Z+q¨o€Z:v h¨qžh W Z1[wgiacmno z kOo8Z z hsapZ+qžki 3h W Z1v4kOmbhsacmŸdfkOdq2o z kOŠelZ:[(& VW Z:qsZ2g z Z{h W Zh œ k³ŸdfZ:qshjalkbmq œ Z2acmbhsZ+m t hjk±g tt z Z+q¨q3apm$h W acqogOo€Z z ª²žkOmv4Z z mfapm‘h W Z{° z qjho€kOapmbh+ºrgrq3 Kg z gOq œ Z ¬ mfk œ º Wh ZwkOmfepu ogOo€Z zœ,W Z z Z\gIog z hsacgiegOmq œ Z z acq‘Oal‰OZ+m apq t dZ\hjk*)apqjacmOhjapm >=qjZ4Z$?¤‹EzBGF œ,W k W grqZ+qjhjgOŠfepapq W Z t h W ZwZ4xŸacqjhsZ+m€v Z kr  œ Z:g ¬ qjkrecdfhsapkOmqhjkIgno z kbŠfepZ+[.‰rZ z uv4elkbqsZ$hsK k >s‹rfª zF@o W k œ Z4‰OZ zW Z\v4kOmqja t Z z qgnmfZ œ °€Z4e t acm g tt aphsapkOm apm „$ª¬«G« >  FẠt Z z ap‰rZ t  ¡k z gOmZ xv W gOmf‘rZ$Z+mfZ z ‘Ourº´grm t h W acq1grq¨q¨d[wofhsapkOmZ:mq¨d z Z:q±[$k z Z z Z+‘Odfecg z aph¼uQ ¡k z  ª1È acqZ4xfapqjhsZ:mv Z z Z:qjdelhgrm t qjkO[\ZqsZ:v kbm t g z u1o z kOo8Z z hsapZ+qg z Zžo z k?‰rZ t  ¡k z h W Zv k zjz Z+q¨o€kbm t acmf‘ ‰?g z acgihjalkbmgieO ¡k z [RdfecgihjalkbmRŠbuRdqjacmf‘g¦grelZ zj¬ acmR[\Z4h W k t ª t alh±acq1giecqskqjgra t apž + dfh W Zv4gOm«mkrh±giepelk œ m ?¤E‹ zB¸h W gih bsh W Zo€kbqjqjacŠfelZwdmfac³ŸdfZ+mZ+q¨q±ki Hh W ZµqskOepdhsapkOmacq±grm Š hjkŠ€Z„º•grm kbo€Z:mI³ŸdfZ:qshjalkbQm dª ءٕڝØÜÛ.

(17)  

(18) 

(19). . ²žkbmv Z z mfacmf‘h W Z,qjZ+v4kOm t o8kracmOh+ºrh W Z,qsaphjd€gihsapkOm\acqZ4‰OZ+m\v epZ+g z Z z | œ Z W g©‰OZmfkrh3 ¡kOd€m t apm\h W ZelaphsZ z grhjd z ZgrmbuRq¨gihsacqs ¡ubacmf‘ gOmq œ Z z hskh W ZH³ŸdfZ+qjhsapkOm±kr Ÿh W Z t acq¨v z Z4hsap¥+grhsapkOmki Ÿh W Zžv kb[wofelZ+hsZ¸mfkbmŸ¢ÐelacmfZ+g z o z kOŠfepZ+[ >s‹Oª¬z™Fäª g eleOh W Z œ k zj¬ qYkOm±h W ZHq¨dŠŸ|}Z:v h [\Z+mbhjalkbmIgrh2elZ:grqjhkOmfZ±ki 3h W Z1h œ k\ ¡krepelk œ acmf‘grq¨q¨d[wofhsapkOmq | ‹rª VW Z t gO[\oapmf‘wacqmfZ4‘OelZ:v hjZ t grm t Š acqhjg ¬ Z:mQZ:³bd€gie´hsk„¶>y? Œ Bкn?  Bкn? BNº ? ‹:ŒEBwF}o fª2h W Z$[\grhsZ z acgieLacq q¨doo8kOqjZ t hjkQŠ€Z$qjgrhjd z gihjZ t grm t Z+alh W Z z h W Z$apmbhsZ z m€gie´°€Z+e t acq plqts_uwv s u¬ mfk œ m´ºk z gµq¨[wgiepeqsap‘Om€gie groo z k©xfac[\grhsapkOmQapq[wg t Zrº œ,W acv W elZ:g t q2hjkµg$epacmfZ+g z ap¥+grhsapkOmµkr 3h W Z1Z+³ŸdgrhsapkOmq >? ] BNnº ? ƒ BÐDº ?¤‹4] Bкn? Œ Bкn?  BNºn? EBGFäª › mnh W Z1o z Z+qjZ+mbh2ogro8Z z º œ ZZ:qsh¨grŠfepapq W [$k z Z±v kb[wofelZ+hsZ z Z:qjdelh¨qv kOm€v Z z mfacmf‘$Š8krh W grq¨o€Z:v hjq{kr •h W Z±o z kbŠfelZ:[ apmnh W Z1kOmfZ t ac[\Z+mqjapkOmgrev+grqjr Z  œ,W acv W acqkr {v4kOd z qsZ\gµepap[\aphjgrhsapkOm´ªÈk œ Z+‰rZ z giepeh W grh œ Z t kv kOm€v Z z mfacmf‘Qh W Zwmbd€[$Z z acv4gregrmgrelufqjapq v+grmŠ€Z1‘OZ+mfZ z grelap¥4Z t hjkw[\k z Z1q¨ogrv4Z t ap[\Z+m€qsapkOmqx>? ‹O‹ BGFäª ¯†Z q W giepe€q W k œ Šbu\groofepuŸapm‘1h W Z,h W Z4k z u$ki LqjZ+[\a¤¢Ð‘ z kOd€oq3h W Z,Z4xfapqjhsZ:mv Z,kr Yg1d€mfap³ŸdfZ[\gixfap[wgie€elkfv4gre€qjh z kOmf‘qjkrecdfhsapkOm hjk >j‹rfª zF grm t h W Z:m œ Z$Z:qsh¨grŠfepacq W qjdfaphjgOŠfepZ pqs u vCs_u Z+qjhsac[wgihsZ:qhskI‘Odg z gOmOhjZ4Zh W gih±h W apq1qjkrecdfhjalkbmapqacm t Z+Z t gn[wg?xfac[wgie ‘OelkbŠgie´qjh z kOmf‘wqskOepdhsapkOm >Kh W Zh œ kv4gOqsZ:q Š j „wgrm t Š j h „\g z Zh z Z:gihsZ t qjZ+o€g z gihsZ+elu F᪠VW acq2h W Z4k z Z4hjapv+gie z Z+q¨dfeph z Z+³Ÿdfa z acmf‘ ³ŸdfaphsZhjZ+v W mfacv4greHo z kŸki Kq+ºLh W Z+u«[$dqsh1Š8ZQqjZ4Z+m†grq1gv4kO[wofepZ+[\Z+mbhjg z u z Z:qjdfeph±hskh W Zh W Z+k z Z+[ o z Z:qsZ:mOhjZ t apa m ?¤‹: Bк•gOŠ€kbdfh Z4xŸacqjhsZ+m€v ZgOm t dmfac³ŸdfZ+mZ+q¨qHkr  œ Z+g ¬ qjkrecdfhjalkbmq¸hjk >s‹O¬ª z™Fäeª > › { m ?¤‹:E BNºŸqskOepdhsapkOmqžg z Z,elkŸk ¬ Z t  ¡k z ac m “ > rF  >   FapmqjhsZ:g t kr 

(20)  > xFžapmIh W Zo z Z:qsZ:mbh2o€gro8Z z ª¬F › mIog z hsacv4dfecg z ºfacmnh W Zv4gOqsZ Š j h „º€d€mfap³ŸdfZ:mfZ+q¨q œ apeleŠ8Z1Z+m€qjd z Z t Šbu z Z+q¨dfelh¨q2ki M? ‹© BЪ › mIh W Z t apq¨v z Z4hjZv4gOqsZOº œ Zo z kOo8kOqjZ1grmgro€o z kbgrv W ŠgrqjZ t kOmIh W Z±·¸Z4Zr¹ q,q¨v W Z+[\ Z >? ‹ AEBwFgrm t grmnk z ap‘racmgie œ g©uhskµqjkrep‰rZ t t z W z  £ £ W œ W W W mŸd[\Z acv4giepepuIh Z acqjv Z+hs‹ Z > r ¦ F,Z:³Ÿdgihjalkbm´ª±¯«Zq k h grhh acq[\Z+h k Z+mq¨d z Z+qh W Zwv kbmqsZ z ‰?grhsapkOmkr ¸h W Zmfk z [ ki  Wh ZQ[wgi‘bmfZ4hjal¥:gihsapkOmLªQ¯†ZQgiecqskZ:qsh¨grŠfepapq W h W Z t acqjv z Z+hsZZ+³Ÿdfap‰?giepZ+mbh1ki 2h W Z p‹qs u vCs_u Z:qshjap[wgrhsZ+qki h W Znv kOmbhjapmŸdfkbdq1v4gOqsZ œ,W acv W ‘Odg z gOmbhsZ4Z:qHacmog z hsacv4depg z h W Z1qjhjgrŠalepalh¼unki 3h W Zq¨v W Z+[\Z1dm t Z z gwv ecgrq¨qjapv+gie²žkOd z grmbhs¢N½ z apZ t z acv W q}¢ £ Z+‰Ÿu\v4kOm t aphsapkOmLª ~d z ogOo€Z z apqwk z ‘bgrmfap¥4Z t gOqR ¡kOelepk œ q+ª › m qjZ+v hjalkbm º œ Z t Z4‰rZ+elkbo*h W Z[wgrv W acmfZ z u§kr qjZ+[\a¤¢Ð‘ z kOd€oqRhjk§qsh¨d t u*h W Z Z4xŸacqjhsZ+m€v Zgrm t h W Zdmfac³bdZ+mfZ:qjqwkr qjkrecdfhsapkOmq\hjk†h W Zo z kOŠfepZ+[§>j‹rªfzF᪠› m qjZ+v hjalkbm ƒ€º œ Z‘rap‰rZŠ€kOh W hsac[$ZgOm t qjogOv Z t acq¨v z Z4hsap¥+grhsapkOmqžki •h W Z±Z+³ŸdgrhsapkOmq{grm t h W Z4a z [wgrapmno z kbo€Z z hjalZ:q4ª › mQqjZ+v4hsapkOmQ]€ºfg z Z+o z Z:qsZ:mOh¨gihjal‰OZ v kOelepZ+v4hsapkOmkr •mŸd[\Z z apv+gie Z4xfo8Z z ac[$Z:mbhjqacqo z Z+qjZ+mbhsZ t ª. ڕÚ"庹+õáñ»y¼.

(21) . G › 

(22)  fG ¸. . . "!$#&%. +    . . +65 3.  -  /2 

(23) +. › mQh W acq2qsZ:v hsapkOm œ Z[\grapmelu œ k z¨¬   z kO[ h W Z  ¡k z [$dfepgrhsapkOm j> ‹rª AŽF¸apmb‰rkOel‰Ÿacmf‘h W Z h Wz Z+Z‰OZ+v4hsk z acgie€dm ¬ mk œ mqTµ$º. . %. !9. „. grm t.  ª. !$n®¶,

(24) { $   . › mIh W apq,o€g z gi‘ z gro Wœ Z1[wg ¬ Z1o z Z:v acqsZ±h W Z[wgih W Z+[wgihjapv+gie t Z4°8mfaphsapkOmIki h W Z1h œ k\elkfv4gre´°€Z+e t q œ Z1v kbmqsa t Z z apmIkOd z2œ k zj¬ ª ‹rª VW Zqjhjgihjapv°€Z+e t „  apqg\‰OZ+v hjk z °€Z+e t h W gihacqv kbmqsh¨grmbh2apmIhjap[\Zrª½8k z hjZ+v W mfacv4gre z Z:grqjkOm´º „  apq v W kOqjZ+mnqskwh W gihr| >N ªl ‹F „ >   F œ,W acv W t kŸZ:q,mfkrhv4kOmqjhsaphjdfhjZgrmIgrv4hjdgre z Z:qsh z acv hjalkbm´ª fª VW Z°€Z+e t kr ŸgOmfapqjkrh z kbobu,apq t Z z al‰OZ t grqC ¡kOelepk œ qY  z kO[Ah W ZZ:mfZ z ‘ruki fgrmfacqskOh z kOobu  œ Z¸gOqjq¨d[\Z   “ > kMFo   r ª ½€k z giep"e !   “ > kMFẠœ Z W g©‰rZ # >N ª Ž F %$ >  F ‡ ! '& j ²  — > „ >  F ‡ !  F)(+* œ,W acv W Z+mq¨d z Z+qžh W grh „ >  F , —  “ > kMF.-™o “ > kMF/-  ª½€k z qjap[wofepapv4alh¼uwacmµh W apq2ogOo€Z zHœ Zv4kOmqja t Z z gRq¨o€Z:v acgieYv4gOqsZ >=qjZ4Z ? zBGF œ,W Z z Z >N ª ¸ ƒF  j  —10 € 2 >  F € “ œ,W Z z Z 0 acq1gno8kOqjaphsap‰rZwv kOm€qsh¨grmbh t Z+o8Z+m t acmf‘kOm h W Z[wgihjZ z apgregrm t 2 >  F,h W Zwo z kr|}Z+v hjalkbmkr   kbmh W ZofepgOmfZ o€Z z o8Z+m t apv+dfecg z hskwh W † Z bsZ:grqjuµg?xfapyq d œ,W apv W acqqsac[wofepungwo z al‰ŸapelZ+‘rZ tnt a z Z:v hsapkOmnki h W Z[\grhsZ z acgieNºfmfkrh t Z:o€Z:m t acmf‘wkOm hsac[\Zrªž²žkOm€qsZ:³bdZ+mbhsepu >N ª › ]F „ >  F j ² 0 2 >  F QÁ ¶˜f4— 36587 :9Z@ G <;  = T › w E" Cl  CŽ¶?>› " ‹A@™ B9Zr@C>¸. 0 >= Œ  F = F D >™@E9$ 

(25) F9ƒ GyIH›CG C ¸G D  C>¸l ›

(26)    +›H CGy  ¸rw J; l. >N ª ¸F >  FTˆ  „ j 0 >= Œ  F = ˆ  7  yCKGy@$ MLONQP?RTS C>¸C „ >  F  UGy: ¬   KTV  D 0 > = Œ  F =WP g q gwv kbmqsZ:³ŸdfZ+mv4Z±ki h W Z:qsZ t Z °8mfaphsapkOm€q,grmIac[\o8k z hjgOmbh2o z kbo€Z z h¼uµkr  „ ª¬«« >  FžacqhskµŠ8ZRgOmIg µmfZv kbmOhjapmŸdfkbdq{ Kdmv4hsapkOm kr    VW gihacq2hskµq¨g©u†|7? „ ª¬«« >  F ²•„ — BacqepapmZ+g z acm  ª N ª ŽF >. >. „. .  . . . . F. " . j. >. ². . . ². . . ". . . . . . . . . . . !9"!. ;.  + 4/ +. <. ,ä +#†  \.!$   # 1

(27)   4/ 3 4!$. V W Z z Z+q¨dfelh¨qHh W gih œ Z ‘rap‰rZapmQh W acqžo€g z gi‘ z gro W g z ZkOŠfh¨giacmfZ t —©ÁQXC˜f—?Æ KÁb”:” Š€kOh W ‘OZ4kO[\Z+h z uµki 3h W Z± ¡Z zjz Ok [wgi‘bmfZ4hjapv¥4kbmfZ@kª¯«Z t Z+mfkOhsZŠbu m j >ZY ‡)[t‡T\ FHh W Zv4d. h W Z t ap[\Z:mqsapkOmµki h W Zo z kbŠfelZ:[ grm t h W Z z¨z Z:mbh2o8kracmbhki 

(28)   - ª ءٕڝØÜÛ.

(29)  

(30) 

(31). . Y7L. . z RºN [QJ7L

(32) KLMU [Q] RZY. NyRZO S. ~  ½8k z epgrhsZ z €d qsZapmnh W Z±[wgrh W Z:[\grhsacv4greYgOmgiepufqsacq+ºOaph œ kbdfe t d qjZ  Kdfe´hjk\Z4xo z Z:qjq ~t gOqžgR Kdmv4hsapkOmIki  dqjZ1h W Z| žÁ  ¶˜ 5 EcC  "  ˜ "› G  |m m ‰ ˜ ˆ¶m l >›

(33) y C

(34) = COH >Ž

(35) ˜y

(36)    ‰ >˜ Œ  F˜ ² ˜ ˆ   > [ F j >Ð ffª zF ‹ ‰ €˜ €“. yy E" !. . . grm t . . ª¯«Z1q W giepe „. - C ;. P. @*     G . >m ‡  F  >   - F “ Š8Z1qjdv W h W i g h  >mnF j  ª V g ¬ pa mf‘wh W Zqjv+giecg z o z k t dv h,Šbu ˜ º œ Z t t ˜  ¬ W z z ˜ h¨g ca mf‘wh Z1‰OZ+v hjk o k d v hŠbu º Œ mnF j > Œ Fáº8grm ˜ Œ m ‰*˜ ˆK> ˜ ˆ mnF j ˜ Œ m ²a€ ˜ € “ m ‰ > ˜ Œ mnF ˜ j ˜ ˆ  V W :Z m œ Z1v4gOmv kOm€qsa t Z z ­®® ‰ ˜ ˆ m j  m ¯. "Tsv¸v$#% ²žkbmOhjapmŸdfaph¼uµkr   acqv epZ+g z ª £ Z+h. ‘OZ4hr> ˜. ®®°. ˜. ˜ ‰. ²l€ € “ m. ˆ m. VW acq¸qjufqshjZ+[ acqepapmfZ:g z acm¶>Gm ‡ ˜ ˆxmnF3gOm t v+grm\Š€ZqskOel‰OZ t kr   >GmnF j  ŠOu m«‘Oal‰OZ+q € m € “& m Œ  ª VW dq('  ‡7€   ¯ aph W ˜ j ² €  Š €  ºh W Z > ££ ¦rFZ:³Ÿdgihjalkbm v4grm ~  k z h W kr‘OkOmgreChjk ~ º8groofepuŸapm‘\h W Z1epZ+[w[wg‹epZ+g t q2hsk ~. Ð fª AŽF >. . ~t. j. ‹ ‰. € ‚ƒ€. Š “0/. „ > „c‡.  ~. ˆ. Â. > ². ˜ ŒÂ F˜.  ¡k z m œ,W apv W epZ+g t q hsk>N ª¬z™F䪕½3acmgrelepurºOhjg ¬ acmf‘±h W Z,q¨v4grepg z o z k t €d v h >  F € & €  € ª*) ~  Š8Z œ,z pa hshsZ:m ,+ ~.- j € ‚ƒ€ „ > „c‡  F@ˆ  ª _Ÿapmv4Z  ca q. . FTˆ. VW acqHmZ œ  ¡k z [ki Yh W Z@> £•£ ¦rF3Z:³bd€gihsapkOmwq W k œ qh W gih Šbu (34 |  34 >  ‡y„ F j©„ > „c‡  >Ð fª ŒŽF. ˜ j. . ‰. Š €  €. ˆ. . > „ > „c‡. apq¸g1v4kOmbhsacmŸdfkOd€q3 Kdmv hjalkbmwki . ~t. . . FTˆ „. F21. grm t. . h W grh œ Z,q W grele t Z+mfkOhsZ.  Š €  ˆ > „ > „c‡  F ˆ  F nÁ ¶˜—<36587   ŽC>™}E9¶ C

(37)  ?>› L:99  S= V CG {C ;:C¸>  > C ™ C  {C>¸ C 

(38) L C $C>¸ „  ˆK> „ ˆ  F C : C>¸ y™ C E  C.S TwºlE ‹ =@C¸> C ;; ~  ;; “ ‚ “ >Ð fªp‹+„ŽF ;; ~ ;; j ‹ ‰ “ € „ ˆ  € “ FTˆ 1‰. €. .   ". . ˆ. . C. Š. ¯†Zq W giepeLgiecqskdqjZrºfacmIh W Zog z h t Z+‰rkOhsZ t hskwh W ZmŸd[\Z z apv+gieL[\Z4h W k t º h W Z. žÁ.  ¶˜05<34. 9 C>  OH› T.  f  t  ƒw. "Tsv¸v$#%3› hacqqsh z gral‘ W h} ¡k zjœ g z t ª=) >. ?A@CBEDGFHBID L J™[Q]_S/U [›LJ. ". „. C. ;.  34 >. . ‡y„. F j.  43 +. . ‡ . ± —. -. P. ¯†ZžgOqjq¨d[\Z¸acm1h W acq3og z gi‘ z gOo W h W gih•h W Z z ZHZ xfapqjhjq•gepkŸv+giebqskOepdfhjalkbm=>µ ‡ „c‡  FChsko z kOŠfepZ+[V>s‹Oª A¸FCapm   „ ‡GK o “ >   - F  -   W— z  „ ‡GK o >  - F) - ª$¯†Zgrz q¨qjd[\Z\h W grh±h W Zqj— uŸqjhsZ:[">s‹Oª A¸Facq1q¨gihsacqs°€Z t apm«h W Zwv4epgOqjqjacv4gieqjZ+mqjZ œ,W apv W [\Z+grm€q±h W rg hh W Z h Z+Z1Z+³ŸdgrhsapkOmq{ki e>s‹Oª A¸Fžg ZZ:³ŸdgiepalhjalZ:q2apm   „ ‡LK o “ >  - F  ª Å O•”:ÁOR— Q˜fT– S¡UÅ O =Å VR– WX Á OÅ8—  =Å VZY NM P ڕÚ"庹+õáñ»y¼. ;.

(39) G › 

(40)  fG ¸ A. › hžapq¸° z qjhHqjh z giap‘ W h} ¡k zsœ g z t hskRq W k œ \gihželZ:grqjh ¡k z [wgiepelu$apmkbd z v+grqjZ R    z kO[ h W Z> ££ ¦rFZ:³bd€gihsapkOmwh W Zv4kOmqjZ z ‰?gihjalkbm acmIhsac[$Z1kr 3h W Zmfk z [»kr •h W Z[wgi‘OmZ4hsap¥+grhsapkOmIgihgrmbuQo8kracmbhr|.  Œ ~t. ~. . ~ ~  ‘ € t. j. „. € “ ”•j. VW acq±v kb[\o€dfhjgrhsapkOmacq‰?giepa t a¤  œ Zwgrq¨qjd€[$Z$h W grh  ¡k z Z+grv W mºLh W Z$ Kdmv4hsapkOm    >m ‡  F,apqki {v ecgrq¨q  º œ,W acv W acqmkrh mfZ:v Z:qjq¨g z uh W Zv+grqjZ1dm t Z z kOd z gOqjq¨d[wofhjalkbmq4ª  ap‘rk z kbdqjelu œ Z1v4grm[$dfelhjapoelunh W  Z > ££ ¦rFžZ:³ŸdgihjalkbmQacm “ >   F - Šbu  º œ aph W  >  xFẐhskw‘OZ4r h |  >Ð fªp‹rE ‹F   +  >CY\F €  >CY ‡  F € “  Y - j „ h W gihacqhskq¨g©u    €  >ZY ‡  F € “ ²ž€ &— >ZYtF € “

(41) T>ZYtF  Y j „ >Ð fªp‹:™ F VW dq >Ð fªp‹+Ž ƒF €  >CY ‡  F € “ j€ &— >ZYtF € “ ‡ gª ZrªJY    › mog z hjapv+dfecg z  >  F ( * j  — >  F ( * Š€dfhH[\k z Z‘rZ:mfZ z giepeluOº?a¤   — Š€Z+elkbmf‘Oqhjk ¸> xFäº œ aph W ‹ && ‰ ºrh W +Z m  >  F Š8Z4epkOmf‘bq2hs k Ž>  xFH ¡k z gOmbu  gOm t  >  F ( j  — >  F ( ª S:O T– S ¶ÁÅPV2–TW•ÁÁ ¡ÁŸ™i–+—©Å ¶˜+XUOÁb–TS¡™ÁHOÁb— X€Â=Y  Áb™O˜r VW Z$qsZ:v kOm t Z+qjhsac[\grhsZh W gih œ Z$v4grm‘OZ4h,acmgrmbuv4gOqsZv4kOmqjapqjhjq apmh W Z t +Z v4g©unapmhsac[$Z$ki h W ZRhskOhjgreZ4epZ+v4h z kO[wgi‘bmfZ4hjapv Z:mfZ z ‘ruOª Ç dfelhjapoeluŸacmf‘h W Z Ç g?x œ Z+eleN¹ q2Z+³Ÿdgihjalkbmq2Šbu „ gOm t µRº œ Z±‘rZ+h ~. ~ „ Œ  ~ . µ µ Œ > ´ ˆ „ F ²K„ Œ > ´ ˆ µxF j · — µ Œ ~t ‰  — „ Ð fªp‹4]¸F ¯†Z1h W Z:mIapmbhsZ+‘ z gihjZacmqjo€grv Z1gOm t º dqjapm‘\h W Z$¦ z 4Z Z+mL¹ q{ ¡k z $ [ dfepg€º œ Z±‘OZ4h >.   . Ð fªp‹:™F >. ung t t ca mf‘ +. Ð fªp‹+ŽF >. „$ª¬«G« >. . . ´. . Œ > µ&ˆ „. žhjk F. F m. „ j.    + j. ~ µ ‰ Œ t ~ . · — µ. º œ Z±kbŠfhjgrapm. „. *‰.   µ “( · —. „ “( *  —. .    —. ² . „ ª¬«G« >. . F Œ. ~ „ Œ t ~ . — „ . . ~. m. ~t. m -. j. ‰. ². ‰. ~ Œ.    —. .    —. . — „ . . ~. „. m. ~t. . „† > „c‡. . ~ Œ. F Œ. . ~. ~t. m. £ Z4h,dqh z gOmqs ¡k z [ h W Z1epZ  ¡h W gOm t qsa t Z±ki e>N ªl‹:ŽFáª3½a z qjh4º8v kOm€v Z z mfacmf‘\h W Z±°€Z+e t kr 3grmapqjkrh z kboOuOº œ Z W g©‰OZ Ð fªp‹EzF >. ².    —. . 0 2 >. > ². › mnh W Z1‘rZ:mfZ z gieLv+grqjZrº œ Z œ kbdfe t W g©‰OZ >. . —.   . „ >. . . ~. F Œ. m. ~t. j. F F Œ. ~t. . ½acmgiepeluOº œ ZkbŠfhjgrapmLº€dqjapmf‘ j> ‹rª ŽFžgrm t Ð> fªp‹EzFM| Ð fªp‹AŽF >.  —   / 0 2 . >.  F “( *. ². — >„ . . k z ºŠbuQg t t ca mf‘µqskb[\ZhjZ z [wqv kOm€qsh¨grmbh2apmIhsac[\Zrº Ð fªp‹+ŒŽF >.  —   / 0 2 . >.  F “( * ‰. . . m. ~ „Ž‡ t ~ . + —. . . ~. —. „. T². ‡. .   / 0   . j. #. (* -. j*².  )F ( * 1. —. . j.  “( * 1 j. ². .   —. Ð fªæ i„ŽF >. ~. . ~t. ˆ. ~. . ~t. j. „. j€ ‚X€. +. „† > „c‡. . F Œ. ~.   ~ -.  F Œ. > „ ª¬«« >. !  ~. Z+qja t Z+q+º œ Z W g©‰rZrºŸh¨g ¬ apm‘\h W Z1‰rZ:v hjk z o z k t dv hkr •h W Z> ££ ¦rF{Z+³ŸdgrhsapkOmIŠbu +. 1. ~ F ‡ t ~ . —. . F €“.  & j&²  >C >  . %$ > . ². 2 >. €. . ².  F Œ. > „$ª¬«« > |. ~t. €.  Š. €. ;; ~ ;;. F.  ;;; “  ~t ;. F F. -. m F. m. ءٕڝØÜÛ.

(42) Œ.  

(43) 

(44). . h W gihuŸapZ4e t qhsk8ºfZ4‰OZ z u œ,W Z z Z. acq t alÉCZ z Z:mbh2  z kb[®„º —. Ð fªæ f‹EF ~mIh W Z1krh W Z z W Og m t ºfZ4‰OZ z u ,œ W Z z Z. ˜—. . ‹ ;; ~  ;; “ ; ; ~t € ‚X€ €  € ; ~t ; „€ºfh W acqZ+³Ÿdgrelaph¼u z Z t d€v Z+q2hjk„ j „ºqjacmv Z>Ð fªp‹+„ŽFHac[wofelapZ+q,h W rg h. . „ > „c‡. >. j. elac[ . Ð fªæ r ™F >. ~. F Œ. j.  ‹ €. —. €. Š. ². ;; ~ ;;.  ;;; “. „ j. ;. ~t. ½acmgiepeluOºf  z kO[©>Ð fªp‹+ŽFáº\>N ªl‹:ŒŽFžgrm t N> ª ‹EFẠœ Z t Z t dv4Zh W gih. . · —.  / . µ “(. *‰. * ‰ — 0 2 >  F “( * ‰.  “( * 1 j&². !   ‹ ;;; ~ ~t  € € ;. ;; “. ;; Y › h\v4grm§Š8Znd€m t Z z qjhskŸk t œ alh W h W acqZ:³Ÿdgiepalh¼uOº œ,W Z z Zµh W Znqjal‘bm¶ki  Š acqRv z d€v acgieNº œ,W u†h W ZQ ¡Z z¨z kb[\gr‘OmfZ+hsacv[wgihsZ z acgiecqg z Z Z4xfo8Z+v4hsZ t hjkµŠ€ZgOŠqjk z Šfapm‘\qjapm€v Z±alh,q W k œ q2h W gih2h W Z1Z4epZ+v h z kb[wgi‘OmZ4hsacvZ+mfZ z ‘Ou. Ð fªæ iƒŽF >. . . —. „ “(. . Ð fªæ ?]¸F  > µ ‡y„c‡  F j · — µ “( acq t Z:v z Z+grqjacmf‘$acmIhsac[\Zrª½ z kO[ >N fªæ iƒ¸Fäº œ Z±r‘ Z4h >. · —. Ð fªæ r™F >. . —. µ>  F “( * & · — µ — “( * „ >  F “( * & · — µ — “( *. VW Z:qsZ1Z:qshjap[wgrhsZ+qq W k œ h W grhMµ. . !9. *‰. .  . “ >. -F-. . ‰. „ “(. . —. — . ‰. — . . grm t „. „. —. . ². . * ‰ — 0 2 >  F “( * ‰ . „ — “( * ‰ >s‹ „ — “( * ‰ >s‹. -F-.  . “ >. 0 ‰ ‰. F. —. 0. . F. — . grqqjkŸkOmIgrq’µ. — Š € ‚ƒ€. . .  — “( *  — “( *. . —. . T². ‰.  . — . ‰. “ >.  “( *. „ —. . „ “( * „ “( * . . —. . -F-. . grm t. „ —. .  . “ >. - F- ª.  %& /!µ . › m§k z t Z z hjk«q W k z hsZ:m¶h W Z ¡k z h W v kb[\apmf‘ ¡k z [RdfecgiZµacm§kbd z [wgih W Z+[wgihjapv+gie t Z4‰OZ4epkOo[\Z+mbh¨q4º W Z:mv Z4 ¡k z h W giepe{h W ZIo€kbqsaphsap‰rZ o W ufqjapv+gieLv kbmqjhjgrmbh¨q “

(45) – Š  · — º  — º € ‚ƒ€ grm t ‹ ‰ Š “  œ apepeŠ€Z z Z+oepgOv Z t ŠbuQkOmZrª Ç k z Z+k?‰rZ zœ ZIv4kOmqja t Z z   z kb[mfk œ kbm*g¶[\kOmfkr¢ t ap[\Z+m€qsapkOmgre{o z kbŠfelZ:[§| œ Zgrq¨qjd€[$ZIh W gihgiepeh W Zdm ¬ mk œ mq\apm h W Z\ ¡krepelk œ acmf‘no z kbŠfelZ:[ t Z+o8Z+m t kOmelukOmx´º´h W Z$° z qsh±qjo€grv Z$‰?g z apgOŠfelZOº´grm t h4º´h W Z\hjap[\Z\‰?g z apgOŠfelZOª › mkrh W Z zœ k z t q œ Z g z ZIapmbhjZ z Z+qjhsacmf‘ acm oepgOmfZ œ g©‰rZ:qRo z kOo€gi‘Ogrhsacmf‘ grelkbmf‘ h W Z Y¢ t a z Z+v4hsapkOm´ª§¯†Zq W giepe t Z+mfkOhsZŠOua> Á ‡ Á

(46) ‡ Á FRh W Z t a z Z:v h k z h W kOmfk z [wgreYŠ€grqjapq2kr    - œ,W Z z Z Á acq,og z giepepZ4eYhskh W Z Y¢ t a z Z:v hsapkOmLª VW Z ° z qshHv4kOmqjZ+³ŸdfZ:mv Z ki Lh W apq‹4­ W uŸo8krh W Z+qjacq¸acqHhjkRqsac[wofepa¤ ¡uwh W Z t Z4°8mfaphsapkOmkr ´h W Z±v4d z e€kbo€Z z grhsk z ª¦al‰OZ+mµgOmOu$°€Z+e t ’ >  ‡ 

(47) ‡  F t Z+o8Z+m t apm‘kOmfepuµkOmnh W Z Y‰©g z acgrŠelZOº œ Z1qjap[wofepu W g©‰OZ ´. ˆ. ’ j. +„. ‡\². ~ ~. . Y. ‡. ~ ~. . Y.

(48). -. VW ZacmbhsZ z Z:qsh1kr žh W apq z Z:[\g zj¬ gOoo8Z+g z q±al {uOkOd†mfkrhjapv4Zh W grh1hjg ¬ acmf‘h W Zµo z kr|}Z+v hjalkbm kr  >j‹rª ]¸F kOm†h W Zµo z kOogr‘Ogihjalkbm gixŸacq epZ+g t q2hsk . . t >Ð fªæ iŽF „ r g m j   j „ gOm t qjk€º œ Z‘rZ4hžh W grhHh W ZepkOm‘raphjd t acmgreCv4kO[wo€kbmfZ+mbh¨q  grm t g z Z Š€kOh W v4kOmqjhjgOmbhHacmkOd z ‹4­ o z kOŠfepZ+[Iª >вžkbmv Z z mfacmf‘ h W ZI[wgr‘OmfZ+hsacv°€Z+e t º œ ZIqsac[wofelu W g©‰OZ j ² do hsk¶g v kbmqjhjgrmbh+ª¬F È k œ Z4‰rZ z1œ Z œ kOdfe t epa ¬ ZQhsk†dm t Z z epacmfZnh W Z  KgOv h h W gih+ºCv4kOmbh z g z uQhjk œ,W grh W gOoo€Z:mq,acmh W ZR‰?grv+dd[IºCalhapqmfkrho€kbqjqjapŠelZx Á QCÁHO acmh W ZQ‹4­ v4gOqsZxIhskQv4kOmqja t Z z h W Z o z kOo€gi‘OgrhsapkOmQki 3g\h z gOmqs‰OZ z qsZZ4epZ+v4h z apv±[\k t Z±kOmnh W Z1kbmfZ W grm t grm t h W Zo z kOogr‘Ogihjalkbmki g\h z grmqj‰rZ z qjZ[wgi‘bmfZ4hjapv±[\k t Z kbmnh W Z1krh W Z zW grm t Š€Z:v4gOdqsZ1greleLh W Zv kb[wo€kbmfZ+mbhjq2kr  „ g z Zv4kOdoelZ t Šbuµh W Z> £•£ ¦rFžZ:³bd€gihsapkOmLª ¯†Zq W giepeLgiecqskdqjZ±apmIh W ZqsZ:³bdZ4e´h W Z1h œ k\ ¡krepepk œ apmf‘wo z kOo8Z z hsapZ+q2kr  (34 acmnh W Z‹+­¿v4gOqsZ=| žÁ  ¶ ˜   ›

(49)  ¸ C>¸ „ Gy ¸ @ “ > xF - 34

(50) TH  “ >  xF -  ‹> rF - ˆ “ >  xF -   “ >  rF - P ڕÚ"庹+õáñ»y¼.

(51) ‹:„. G › 

(52)  fG ¸. "Tsv¸v$#% ¯†Zv4gOm t Z t dv4Z±  z kb[©>s‹Oª ƒ¸Fžh W grh. „† . Ð fªæ ™zF gOm t h W Z:m >Ð fªæC AŽF >. ).  34 >. > „c‡. .  ¶ ˜   ›

(53)  ¸‹C>¸ „ Gy ;    Š j „ P. žÁ. .  lC. . .  (*. FTˆ. ( * & s> ‹ F. ‡ „. . ‰.  ( „ ( &.  ( > „. Š F. >  xF - (34. CŽCl. . 9X. %  . . * ‰   (  ( * ( * ‰ „ ( * ‰   ( * F. . H >™we

(54). > xF - ˆ > . . F. -.  . > rF -. "Tsv¸v$#%VW Znv4grqjZ , œ W :Z m 43 acqRmfkOhepkŸv+giepelu £ acoCv W alhj¥µacqRmfkOhap[wo8k z hjgOmOh ¡k z kbd z ogOo€Z z gOm t qsk œ Zµq W giepeHkbmfepu†o z k?‰rZ. h W Z\v+grqjZ œ,W Z:m Š j „€ªl> V kIdm t Z z qjhjgOm t œ,W grh W gOoo€Z:mqa¤  Š j h „ºCh W Z z Z+g t Z z v4grmv W Z+v ¬ h W grh h W Z b¨grŠqjkrecdfhjZ‰?giecdfZd [wgro apq\mfkrh$elkfv+giepelu £ acoCv W alhj¥µ  z kO[ >QF1hjk >QF亠¡k z grmbu†kOo8Z+m§acmbhsZ z ‰?gie Cº¸ŠOu¶v kbmqja t Z z acmf‘h W ZIh œ k Kd€mv hjalkbmq.

(55) j ‰  >  YtF{grm t j*² ‰  >  YtF᪬F £ Z4h1dq1grq¨q¨d[\Z$h W gih j „ª\¯«Z œ grmbhhjkq W k œ h W grhh W Z[wgro >_>  ‡ „ FN „ ˆ  F acq±elkfv4grelepu £ acoq¨v W aphs¥\  z kb[ > rF - ˆ >   F - hjk Š > xF - ª › h{kbŠb‰bapkOd€qsepu\q¨d µv Z:q{hskwq W k œ h W grhžh W Z1[\gOo$> ‡  FN  acq{elkfv+giepelu £ acoq¨v W aphs¥  z kb[ > rFTˆ > xFžhsk > xFäª _bacmv4 Z >  xFžacqgrmgiep‘rZ:Š z g€º œ Z ¬ mfk œ h W gih. . > xF ‡   >   F j   > xF gOm t qsk >  Feˆ > xFžapq[wgro€o€Z t hjk >   F᪠VW Z+m œ Z±v+grmIv kb[\o€dfhsZ  ² “  “ “( * & >  ²  “ F “(+* ‰ > ² “ F  “ “( * >Ð fªæ iŒŽF W Z:mv ZOº€qjapmv4Z “(   & “      º  ² “  “ “( * &  ²  “ “  “( * ‰ ² “ “   “ “( >Ð fª ƒr„ŽF. ¯†Z1Z4‰OZ+mbhjdgrelepuµ‘OZ4h{  z kb[. . h W gih. Y . Y. Ð fª ƒ‹EF >. . . >. “.  F ². “. “. (*. . . >. . Y. j.   Y .  F j ². “ “. .  Y“. ². “. (*.  “. .  Y“ ².  ‰. › mfZ:³ŸdgiepalhjalZ:q N> ª ƒO„ŽF$grm t >N ª ƒ€‹EFRq W k œ h W grhh W Z[wgOo > ‡  F > rFä*ª ) nÁ ¶˜<— 3  D >›’C

(56) =} ›

(57) = P¬ :>›  ; t CM?>›e

(58) = H > ‡ . .  Y“.  “ “. .  Y. ‰. > rFTˆ  . H.  . H >. “. ! “  Y “ ( * “  “ (* acqwepkŸv+giepelu £ ca oqjv W alhj¥n  z kO[ >  xFxˆ > xFRhsk . ‡#" F  9   Žw$ "› G   > xF El

(59) › w :  ƒ. > xF .   Y“ ². *. EP.  ". “. . ².  Y.  ‰. 9>™ > . . ². H >.   X 9   ™wn

(60).  E>  rF›ˆ. ( !µ

(61) * 3á3. &%. !9. VW Z\giac[ kr ¸h W acqog z gi‘ z gOo W acq,hjkQq W k œ h W Z$Z xfapqjhsZ:mv ZRki Hgµdmap³ŸdfZR[wgixŸac[wgie•elkfv4gre•qjh z kOmf‘nqskOepdfhjalkbmŠbuIgOoofepubacmf‘µh W Z  ¡kOelepk œ apm‘\h W Z4k z Z:[©>=qjZ4Z ?¤‹+„CBLk z ?¤‹:BGF œ,W acv W gOoofepalZ:q2hskqjZ+[\a¤¢ÐepapmfZ:g z gOŠqsh z gOv h{Z4‰OkrecdfhsapkOmnZ+³ŸdgrhsapkOmqx| ' W•ÁŸÅ€—?Á 5 9n( G :*)} t>  HQ:  ;  

(62) =A@™

(63) =D

(64)    C: THQyC  L y,+ !-/.OS 9ƒwC> ; C

(65) =C 10 >  F P 9D 2. . | (. . (. Gy:. .  . 9X. . H  >™we › G • 30 . ". ¯. C>. 9ƒwC>  . w ¸ >

(66) K 4. j. >. .  ‰. ­®® ®®°. ~. ~t. C. P D >› t C. F.  j. o 0 >. + K54. . —. . . 0 >. . C>. @. CV.  ¸ = ™wl ›    F ’. . l  QG . ‰2 > F. >  j Ž„ F j. Ð> „ L‡ K

(67) 4. F. . F_F. . —. .  ‰ . —. > ‡LK54. o(.  . epap[. =„. ;. 687 :9<;#=. F. 9>¸ . ( j.  ‰. ءٕڝØÜÛ.

(68) ‹r‹.  

(69) 

(70). › mnk z t Z z sh kwgro€ofeluh W acq2h W Z+k z Z+[IºŸalh2acq{m€gihjd z greChjk$h z uQhsk t al‰Ÿa t Z±kOd z o z kOŠfepZ+[ acmbhsk\h W Z±epapmZ+g z og z hZh W Z±kOo8Z z gihjk z 2 ºYgrm t h W Z+mhjknv W Z:v ¬ h W Z z Z+³Ÿdfa z Z t grq¨qjd[wofhjalkbmq+ª › h,apq Z xgrv4hsepu œ,W gih acq t kOmfZ$apmh W ZwmfZ xfho€g z gi‘ z gro W acmh W Z$v+grqjZ Š j „€ª + dfhapmh W ZR‘OZ+mfZ z gre•v+grqjZ > Š j h „ŽFáº8h W ZR Kd€mv hjalkbm 2 >Kacm t Z+Z t h W Z  Kdm€v hsapkOm (34 Fžacqmfkelkbmf‘rZ z elkfv4grelepu £ apoCv W aphs¥grq[\Z:mOhjalkbmfZ t acmnepZ+[w[wgw]grm t œ Z W g©‰rZ±hskg t grofhkbd z o z kŸkr }ª nÁ ¶˜<— 3  7 W9Z   ; >›   G  HQ E ZG   ‹Gyye?>› Ž   y =?>›@C

(71) =

(72)   t:ElC>¸ E Š j „   9Z>¸ ;    C; T;LON P JNES C>¸@

(73) TV CG cEr 1+ . 9>›ylC>¸ 

(74) ‹ €  € @ C

(75) w   ;  I  grm t h W Z$mkOmŸ¢ÐelacmfZ:g z og z h’nh W Z Kdmv hjalkbm. . ~. Ð fª ƒO ™F >. . . . ˆ 1‰. j€ ‚ƒ€ „. ~. . . . Š. ˆK> „. ˆ. . F. C> > C>  TV CG    fC;:  r ’C>¸7 

(76) ’C>¸7

(77) =Ct CG  yC Gy}  ›

(78) T;r Gy    C  OH 9>Ž >¶ 

(79) QH E ZG 9 >¸   CQ C;r?>›x   w  GyC9Z† E ›

(80) C ; ’  C

(81) =Ct r

(82) C  G P. ) Q D ™ ¸ ¸™7   ¸(99  † Q. . . . .  . . . . . . . ".   . . . ¯†Z Z:qsh¨grŠfepapq W Š8Z4epk œ epkfv4gre z Z+q¨dfelh¨qHgOoofepubacmf‘h W Z4k z Z:[ ‹Oª¯«Zv kOm€qsa t Z z qsZ:og z gihjZ4epuRh W Z h œ kRv4gOqsZ:q j „grm t j h Wh gih{apq{hjk\q¨g©u œ alh W grm t œ aph W kbdfh t gr[wofacmf‘€ª › mµZ:grv W v+grqjZrº œ Z±q W giepe t Z+v kb[wo€kbqsZkOd z o z kbkr Lapmbhjk$h Wz Z+Š ZqjhsZ:oq+ª3½a Š z qjh t Z4°8mfZ$h W Z\groo z kOo z acgihjZ± Kdmv hjalkbmgie•  z gr[\Z œ k z¨¬ ( grq œ Z+ele3grq h W Z$kOo8Z z gihsk z  gOm t h W Z$mfkbmŸ¢ÐelacmfZ+g z og z h 2 ª VW Z+m Z:qsh¨grŠfepapq W h W grh  º€gOm t 2 º W g©‰rZh W Z z Z:³bda z Z t o z kOo8Z z hsapZ+q+ª   I. . „º œ Z œ Z. J7L&^tU Ž J L

(83)  . VW Z> ££ ¦rFžZ+³ŸdgihjalkbmQacq ~  >Ð fª ƒrƒŽF j „ > „c‡  F ˆ  ~  ˜f–RWÁ¶˜f–TS¡™r˜  V=—?˜ ¶ÁbÄRÅ8—43 ¯†Zacmbh z k t dv Z ( j “ >  xF - ˆ “ >  F - ˆ E> xF - º œ,W apv W apq2v4elZ:g z eluwgRÈalecŠ8Z z h2q¨ogOv ZrºŸgrm t jh g ¬ ZgrqžkOd z dm ¬ mfk œ m Wh Zw‰rZ+v4hsk z

(84) j > µ ‡y„c‡  F  ( ª1¯†Zwgiecqsknapmbh z k t dv4ZRh W Z\ÈalecŠ8Z z hq¨ogrv4Z •>Nv4d z e ‡  xF j   “ > xF - o¨v4d z eº>  F  o kbqjqjapŠelZ$hsk z Z œ,z aphsZ “ > xF - º œ,W acv W acq acmh W ZI‹4­»v4gOqsZ\mfkrh W apm‘Qkrh W Z z h W grm “ >  xFMˆ >  xFMˆ >  rF᪠› hacqmk œ € Wh Z1h Wz Z4Z1Z:³Ÿdgihjalkbmq{kie  >s‹rª AŽFžgOx q | . . ­®®. Ð fª ƒi]¸F >. ~ µ „ ~t j ~ ~ „ ‰ j ² ~ ~  " t ~ j „ ˆ ~t. v+d z e. ®® ¯. ®® ®®°. ®®. ®®. . . v4d z e\µ. . œ alh W >. „ . ‰. j©„. „ ‰. „ >. h W gihepZ+g t q2hskh W Z± ¡krepelk œ acmf‘wqsufqjhsZ:[®ki 3Z4‰OkrecdfhsapkOmnZ+³ŸdgrhsapkOmqx| ­®® ®®. Ð fª ƒO™F >. ¯. ®® ®®°. ®®. ®® ~. ~ µ ~t ~ „ ~t. . j. v4d z e j. ² j. ~t. „. v4d z ePµ. . ˆ „. ²V„. ˆ. . › hacq,mfk œ m gih¨d z gre´hskwacmOh z k t d€v Z±h W Zd€mbŠ8kOd€m t Z t kbo€Z z grhsk z  >

(85) F j  > µ ‡y„c‡  F j >Nv4d z e „c‡² v+d z ePµ ‡ „ŽF >Ð fª ƒrŽ F œ aph W t kb[\grapm 0 >  F j >=v4d z e ‡  xF ˆ •>=v+d z e ‡   Feˆ > xF - º8grm t h W Z± Kdmv hjalkbmK| 2 >

(86) F j 2 >µ ‡ „c‡  F j >=„ ‡\²†„ ˆ  ‡Q„ ˆ  F >Ð fª Ž ƒ zF ¯ aph W h W Z+qjZ1mfkrh¨gihsapkOm€q4ºfh W Zo z kOŠfepZ+[©>j‹rª AŽFžacq2Z+³Ÿdfap‰?giepZ+mbhhsk | Ð fª ƒAŽF >. ڕÚ"庹+õáñ»y¼. ¯. ­®® ®®°. ~.

(87). ~.

(88) > j. j. . „¸F.

(89) j. ‰.

(90). 2 > F.

(91) D—. . F F.

(92) ‹© . G › 

(93)  fG ¸. œ,W Z z ZQki  v kbd z qsZ

(94) — j >µ — ‡y„ — ‡  — F᪠› h z Z+[wgiacmqhjk q W k œ h W grh  acq$[wgixŸac[wgieH[\kbmfkrhjkOmfZQgOm t h W ig h 2 acqepkfv4grelepu £ apoq¨v W aphs¥±  z kO[ 0 >  F2hsk 0 >  Fäª S¡”˜ ¶˜ m S ¶˜  ¶ÅUOÅ8–+ÅUO•ÁIÅ = Áb—?˜f–+Å8—  ’ VW acq z Z:qjdelh3apqmfkOhqjd z o z apqjacmf‘ qjapmv4Z  acqmfkrh W apm‘kOh W Z z h W grm$h W Zžkbo€Z z grhsk z grq¨qjkŸv4apgrhsZ t hskh W Z Ç gix œ +Z eleN¹ q•Z+³ŸdgrhsapkOmq+ª ½a z qjh,dqjapmf‘wh W Z$¦ z Z+Z+m´¹ q{ ¡k z [Rdepg¶|    >Nv4d z eDµ Œ„ ² v4d z e „ Œ µrF  Y j „ >Ð fª ƒrŽ ŒF  ¡k z giepeº>µ ‡ „ FHacm >=v4d z e ‡  xF ˆ •>=v+d z e ‡   FžuŸapZ4e t qhjk¶| Ð fª ]O„ŽF VW Z:m´ºbhsk‘OZ4hh W Z qjd z |}Z:v hsap‰Ÿalh¼u\ki   > µ ‡y„c‡  FHacm 0 >  Fqjdv W h W gihr| >. >.

(95) ‡

(96) F(. . 1  z kO[.  3F apm. 0 >. ‰ . ­®® ®® ®® ². ¯. Ð fª ]€‹EF >. „ j. ®® ®®. . ®®°. 0 >.  F. º œ Z W g©‰rZhsk$q W k œ h W grh4ºO ¡k z grelen> Á ‡ W. (. v+d z e „ v4d z eDµ.

(97) . '. ‡. ‰. ‰. ‡. . •acm (. F. ºOh W Z z ,Z Z4xŸacqjhjq. Á. µ „. j j. . j. W.  :Z [\apm t apmf‘h W gihh W Z1epkOmf‘Oalh¨d t acmgieLv4kO[wo€kbmfZ+mbh¨qg z Z±v4kOmqjhjgOmbh4ºfh W apqepZ+g t q2hskqjkrep‰rZ ¡k z h W Z1h z grm€qs‰OZ z qsZv kO[wo8kOmfZ:mbhjq >Ð fª ]b ™F v4d z e=>=v+d z ePµrF ‰ µ j Á ‰ v4d z e W VW Z £ gixŸ¢ Ç apep‘ z gr["h W Z+k z Z+[ Z+mq¨d z Z+qh W grhh W Z z ZRZ4xfapqjhjq±gQd€mfap³ŸdfZwqjkrecdfhsapkOm > xF “  W Z z Z$g z Z$v4kOmqja t Z z Z t kbmfeluh W Z h z gOmqs‰OZ z qsZ±v kb[wo€kbmfZ+mbhjqeµ ¡k z g z al‘ W h W grm t qja t Z1apm “ > xF “ ª VW acqac[\oelapZ+q apmIkOd z v4gOqsZ±h W gih7µ acqacm •>=v+d z e ‡   F{ ¡k z > Á ‡ W Fžacm “ >  F - ª¯†Zv4gOmQh W Z+mv4kOmv4epd t Z œ aph W „©j W ² v+d z ePµ$ª SK”˜ ¡Å™r˜  ¡Â S = ”+$™ W SÜ– ™OPÅ OCT– S:O

(98) •Å

(99) •”V

(100) O•™i–TS¡ÅUO6VN—©Å  0 >  F –:Å 0 >  F  2 › hacqv epZ+g z ŠOuQelZ:[\[wgw]8ª VW acq œ grq2h W Z1epgOqsho8kracmOhkr 3kbd z o z kbkr }ª¾H‰OZ+mbhjdgrelepu œ Z±v+grmIqsh¨gihjZ1h W Z ' W•ÁŸÅ€—?Á  5    >µ — ‡ „ — ‡  — F  •> ›  ‡  xFeˆ •> ›  ‡  }F’ˆ >  xF - C>¸  @™ G*› CV   n

(101) E@™

(102)  . L P S= C >¸.  ¸ QGG CK . .    „ ‡LK

(103) 4 o “ > xF -    — >=„ ‡GK54 o > › ‡  xF_F ¯  „ ‡GK 4 o “ >  xF.-    — >N„ ‡GK 4 o •> › ‡   F_F ®® „   ®® ®®°     „ ‡GK 4 o >  xF - . 9ƒ Ž†   G  wC¸ >  K

(104) 4 j ‰ µl>  F “  ›  ‰ „ >  F “  ›  ‰  >  F “  j.  epap[ 687 :9<;#= ­®® ®® ®®. Ð fª ]OƒŽF >. . . . . „ VW  Z > £ £ ¦rFžZ+³ŸdgihjalkbmQacq Ð fª ]b™F >. . Š. . . . . Ð fª ]r]¸F >. W•Á™O˜”+Á. µ. . 9ƒwC>¶

(105)  yy E@C>¸T. '. . . . . . .  ‰. jh. ~. . ~t. j§„† > „c‡. . FTˆ.  ‰. €. Š € . ˆK> „† > „c‡. . F ˆ.  F. j.  34 >. . ‡y„† > „c‡. . F_F. ,q qjgra t acmnh W Z1acmOh z k t d€v hsapkOmLºfapmIh W Zv4grqjZ Š j h „º œ Zq W rg ele´kbmfepuQo z Z+qjZ+mbhgrmnZ xfapqjhsZ:mv Z z Z+q¨dfeph,Šdfh4º8qsacmv Z >Ð fª ]OŽF >  xF “ > rF   >  F dmap³ŸdfZ:mfZ+q¨q œ apepe±Š8Z†Z+mq¨d z Z t Šbu h W Z†h W Z+k z Z+[ grŠ8kOdh œ Z+g ¬ jq krecdfhsapkOmqIo z Z+qjZ+mbhsZ t acm ? ©‹ BЪ >=½€k z h W apq z Z+grqjkOmLºh W acq og z gr‘ z gro W v4grmŠ8ZqsZ+Z+mIgrqv4kO[wofepZ+[\Z+mbhjg z uhjk{? ‹© BЪ¬F ءٕڝØÜÛ g.

(106) ‹+ƒ.  

(107) 

(108). ½a z qjhki ´giepefalh¸[$dqshŠ8Z,qjgra t h W gihh W apqZ4xfapqjhsZ:mv Z z Z+q¨dfelhacqkOŠfh¨giacmfZ t dm t Z z g±mfZ œ grm t o€d z Z+eluRhsZ+v W mfapv+giegOqjq¨d[wofhsapkOm kbmnh W Z1acmfalhjapgre t acqsh z acŠdfhjalkbmnkr [wgr‘OmfZ+hsap¥+gihjalkbm &— º€mgO[$Z+elu. &—  € &— €. Ð fª ]¸zF >. k z ºfhjkµŠ€Z[\k z Z z ap‘rk z kbdq4º. K— . Ð fª ]™AŽF >. >  * F q¨dv W h W grh. Y. '. |. > xF.  ZY. . „. ‡7€ &— > tF € j h.  — >CY\F j K— >CY\F  — >CY\F € €&. . Èk œ Z+‰rZ z aph,acqac[\o8k z hjgOmbhhskµdm t Z z qsh¨grm t h W gihr>Ð fª ]™AŽF z Z+o z Z:qsZ:mOh¨qmfkµqjZ z alkbdq z Z:qsh z acv hjalkbm´ºkOh W Z z h W gOm &— [Rd€qsh,Š8Zki  Š8kOdm t Z t q¨doo8k z h4ª nÁ ¶˜—<3 wC>¸ QD  ;  ¸lC>¸7

(109) = Žty      ¸  G G lC>¸nC>¸   @™w7    ™  E} }J;

(110) : ZG  . ; ZG EP 9 C> G ; T; 4HJH. ?> 

(111) ZY

(112) 9 ?>

(113)  @¸T; E  C:  ; K E> xF  H› w   —  >  rF TV  P

(114) $C>¸x 4H H› CT _ P ?>. — j   wGG CG  QGG CQ n  Q C :w   l ›C ƒw > tF "› G  ƒw y ›    Q  Mwƒ@E = $ Ž   l  CQG  . . &—. P

(115) C>™ º  @¸

(116) H  X?>›7yy ;   >¶?>›C .  t ? ‡ B .  . ­®®. Ð fª ]OŒŽF >.  · . „. · ®®°. y  . . ". . . Y . &— j. 

(117) º t7

(118)  . ". „. C;}C Z 

(119) . y CQ . .

(120)    - ‡ ' Y  B  ‡  ‰ · ? ‡  — j >ZYtF

(121) > >ZYtF„TF

(122)     - ‡ ' Y  B  ² · ‡  ? ‡  — j  >ZYtF

(123)  >  >CY\F„ F. ‡. „. . &—Vj h „ >¸ rC¸> D

(124)  yTŽty.  . ¯. 7  C >™. . . . Z> YtF. „. j.  ". ‡. B9Z >›   —  — ‰ · ? F - C ; + + &. G > B    ‡  >wB  ² ·  ‡  ? F € — € - B  ‡  ‰ · ? € &— € - B  ² · ‡  ? C ;‹@   ¸ >  G   ¸    „  >¶C>¸C € &— €    B  ‰ · Ž‡  ² · ? TC>¸C  — & € — € B  ‰ · ‡  ² · ?  >wB  ‰ · Ž‡  ² · ? F   yC>¸l   Z     —   G  ¸º  Y j  ‰ · C ; Y j  ² · P   ;‹   › TC>¸T y

(125) G   Gy ;™ ZT‹ ;  rC¸>  › G C r > C;        E ¬ E . . ". . . " .  . ". . .  . . . . . . % . " .  . Ð fªæi„ŽF >. k. ! ?  ‡  j. . . . . . . ڕÚ"庹+õáñ»y¼. . . . .  . . . %. . .  t. . B. 9>Ž > J; @  C™ El  * J;

(126) : ZG :  wGG ;C  ZG QGG CQEP e{C¸ >     C  —  qjapm\>ZYtF

(127) rt CT J;C

(128)  ZG :  wG ;™C JP  ¶   ¸ G C  ¸j "  

(129) H K •?>›Cl y ›

(130) HG  LON P$# S  K

(131) H fG {    › >  l * JP ’ OÁbÄ VÐÅ8— 

(132) ¡ ˜f–ISKÅPO . . . . . . . . E. . ;. C> ,9 . _ C  M   ¸ Z. —.

(133) ‹+]. |. G › 

(134)  fG ¸. ¯†Z ¬ mfk œ h W gih3aph•acqo€kbqjqjapŠelZžhsk œ,z aphsZžh W Z{h Wz Z4Z{Z+³ŸdgrhsapkOmq•ki n>s‹rª AŽFLgrq•h W Zž ¡krepepk œ apmf‘qsufqjhsZ:[ kr €Z4‰OkrecdfhsapkOmZ+³Ÿdgihjalkbmq ­®® ®® ®® ¯. Ð fªæf‹EF >. ®® ®® ®®° ~. ~ µ ~t ~ „ ~t. . j. v+d z e j. ² j.  34. „. v4d z ePµ >. .  34 ².  >. ‡y„. F. ². € &— € . F. ‡ „. gOqjqjkfv acgihsZ t hjkacmfaphsacgie t rg hjg>µ — ‡y„ — ‡ &— Fäª VW Z2a t Z+gki 8h W acqqsZ:v hsapkOmRapqhjkv4kOmqja t Z z gmfk z [wgiepal¥+Z t [wgr‘OmfZ+hsap¥+gihjalkbm1‰rZ:v hjk z  o[\k z ZZ4xgrv hjeluOº œ Z t Z4°8mfZ1h W Z± ¡krepelk œ acmf‘o z kOŠfepZ+[ ~t. ­®® ®®. ¯. ®®. Ð fªær ™F >. ®® ®® ®®° ~. ~ µ ~t ~ „ ~t. . ~t. œ,W Z z Z >Ð fªæiƒŽF.  3. >. . ‡y„. F j. ‹. € ‚X€. j. v4d z e j. ² j.  3. „. . v+d z ePµ. . >. ? „† > „c‡. ‡ „. . 3 >. . ‡ „. F. F. . Feˆ 4‰. . ˆ. > „† > „c‡. . F ˆ. . FB. &— gOqjqjkfv acgihsZ t sh knapmfaphsacgie t grhjg†> µ — ‡ „ — ‡ K— F œ aph W K— j €  — €  > xF,gOq,acm t acv4gihjZ t acm gOqjq¨d[wofhjalkbmc>N fª ]™A¸F䪇 k œ epZ4h > µ ‡y„c‡  FŠ8ZwgQqjkrecdfhsapkOm hskno z kbŠfelZ:[ >N fªær ŽFgOm t epZ4h  >CY ‡  F j € &— >CY\F €  >CY ‡  F䪯†Z W g©‰rZ   > kMFäºLgOm t giecqjk€º Š8Z+v+grdqjZ1ki 3h W Zv4kOmqjZ z ‰?gihsapkOmQki h W Zmk z [»ki   >Ngrm t  F}|  34 >  ‡ „ F j"€ &— €  3 >  ‡y„ F >Ð fªæ?¸ ]F gOm t ~  ~  34 >  ‡ „ F ~t  j  3 >  ‡y„ F >Ð fªær™ F ~ j › mkOh W Z zœ k z e t q¸Z4‰rZ z u\qskOepdhsapkOm\hskRo z kbŠfelZ:[ >Ð fªærŽ F•apqžv epZ+g z epu$gqjkrecdfhsapkOmwhjkRo z kOŠfepZ+[ >N ª ‹EFäºbgrm t aphHkbmfepu z Z+[wgiacmq¸mk œ hjkµv kOm€v ecd t Z±hskµgOoofepuµh W Z+k z Z+[ ‹±hjkµo z kbŠfepZ+© [ >Ð fªær™ F᪠– WÁ ¶˜fT– S¡™r˜  V=—?˜ ¶ÁbÄRÅ84— 3  ˜fR VW ZmfkOhjgrhsapkOmq±g z Z\h W Zq¨gr[\Z\gOqapm«h W Zv+grqjZ Š j „ª\¯«Zwh¨g ¬ Zwgrq±dm ¬ mk œ mh W Z‰rZ+v4hsk z

(135) j > µ ‡y„c‡  F  ( ª VW acqhjap[\Zgi‘bgiacm œ Z1apmbh z k t dv4Z±h W Zq¨gr[\Z±kOo8Z z gihjk z  >

(136) F j  > µ ‡y„c‡  F j >Nv4d z e „c‡² v+d z Pe µ ‡ Ž„ F >Ð fªæiŽ F œ aph W t kb[\grapm 0 >  F j — >=v4d z e ‡ kMFTˆ >=v4d z e ‡ kMFTˆ > kMF - º8grm t h W Z± Kd€mv hjalkbm | 2  >

(137) F j 2 > µ ‡ „c‡  F j >=„ ‡D²•€  — €  3 >  ‡y„ F ‡  3 >  ‡ „ F F >Ð fªæ™  zF ¯ aph W h W Z+qjZ1mfkrh¨gihsapkOm€q4ºfh W Zo z kOŠfepZ+© [ >Ð fªærŽ F¸acqZ:³bdal‰?giepZ+mbh2hs† k | Š “. ¯. Ð fªæCAŽF >. œ aph  W

(138). ‰. . ­®® ®®°. ~.

(139). ~t.

(140) > j. j. Š.

(141) ‹‰ 2   >

(142) F „ŽF j D

(143) — . ª › h z Z:[\grapm€q2hskµqjZ4Z±h W grh S¡”˜ ¶˜ m S ¶˜  ¶ÅUOÅ8–+ÅUO•ÁIÅ = Áb—?˜f–+Å8—  ’ › hacqv epZ+g z qsacmv Z±h W apq,kOo8Z z gihsk z apq2Z4xfgOv hjeluµh W Zq¨gr[\Z1grq2acmnh W Zo z Z4‰ŸapkOdqqjZ+v4hsapkOm´ª  CS = ”+$™ W SÜ– ™rUÅ OCI– S:O

(144) •Å

(145) • ” V

(146) !O™rI– S¡UÅ O6VN—?Å  0 >  F –:Å 0 >  F  2   SK”˜ KÅL™r˜  Ü6 z W 2 0  ½a qjhwalhwacqwkOŠb‰ŸalkbdqRh gih   [wgroq > F$hsk 0 >  F$qjapmv4Z > kMF - acq\gOm grel‘OZ+Š z gª Ç k z Z4k?‰OZ z 2   apqwepkfv4grelepu £ apoCv W aphs¥Šbu z Z+[wg z¨¬ ƒª g W z œ g1epkŸv+gie€qjkrecdfhjalkbm >µ ‡ „c‡  F•hjkh W Z o z kOŠfepZ+[ >N ª O ™FToŸalhHapqHh W Z:mo€kbqjqjapŠelZ,hjk t Z4°8mfZ  jVo€  ofepub— ac€ mf ‘hgwqsZ4kOk epdfZ:hj[ alkbmQ‹Oº hjkµZ,o kOz kOŠŠfhjgiepZ+acmw© [ >Ð fªæf ‹ FHgOm t °8mgiepepu œ Zv+grmIqsh¨gihjZh W Z ءٕڝØÜÛ — j. > µ — ‡ „ — ‡. — F.

(147) ‹:.  

(148) 

(149). •ÁŸÅ€—?Á. — —  — — › › ’C>¸  @™G: › CV L P> µ S=‡ „ C>¸‡  F  > ‡ kMFeˆ > ‡ kMF’ˆ E> kMF ­®® — ®® ®® µ    „ ‡GK 4 o “ > kMF -    >=„ ‡GK 4 o > › ‡ kMF F ¯ >Ð fªæiŒŽF  „ ‡GK 4 o “ > kMF -    — >N„ ‡GK 4 o •> › ‡ kMF_F ®® „   ®® ®°®     „ ‡LK

(150) 4 o > kMF -  9ƒwC>¶

(151)  yy E@C>¸T. ƒ9  Ž†   G  wC>¸ K

(152) 4 j ‰ µl>  F “  ›  ‰ „ >  F “  ›  ‰  >  F “  j ‰.  >Ð fª r„ŽF epap[ 687 :9<;#=. . W      ¸ QGG CK  '. . . . . . *. . . . . . !9. . . E@.   X 

(153)  ™

(154) . . . . › h z Z+[wgiacmq2mfk œ hjk\q W k œ Z4xfoelacv aphsacmf‘h œ k1‰rZ z uRqjac[$apecg z v+grqj: Z |¸mkwgOqjq¨d[wofhjalkbmQacq,[wg. . . . . . . . . . . h W gih2h W Zepkfv4greYqjkrecdfhjalkbmq{ki •h W Z4k z Z:[® RgOm t h W Z4k z Z:[®ƒ\g z Z acm t Z4Z t ‘OelkbŠgieNª  gih W Z z h W grm t Z:[\kOmqjh z gihjalkbmq4º œ Z,mfk œ Z+m t h W acqH[wgih W Z+[wgrhsacv4gie8og z hki YkOd z¸œ k zj¬ acmwh W Z [\kOqjh¸‘rZ:mfZ z gie t Z1mfZ+alh W Z z kOm Š mfk z kbm ˜— ª VW acq œ g©u œ Z1v4gOmIZ4‰rZ:mbhjdgrelepuµv kbmv ecd t Z1acmQZ:grv W v4gOqsZOª.  L 4  #r!$. ¯†Z W g©‰OZ{mfk œ hsk1‰OZ z a¤ ¡uh W gih¸mk1elkfv4greqskOepdhsapkOm\v4grmwŠfepk œ d€o$acmwg°8mfaphsZhjap[\Zrª¯ aph W >Ð fªp‹+ƒŽF•gOm t >Ð fªæ rŽF œ,W apv W g z Z2‰?giepa t acmIkOd z v+grqjZ ¡k z grmbu Kš K54 ºfkbmfepuµh W Z “ mfk z [»kr •h W Z1elkfv4greLqskOepdhsapkOmqo z k?‰Ÿa t Z t ŠOuQh W Z+k z Z+[ $acq,v kbmOh z kOelepZ t ª_bk8º hjkµo z k?‰OZ‘OelkbŠgie´Z4xfapqjhsZ:mv Z œ Z W g©‰rZ±hskw°Cm t Z+qjhsac[wgihjZ+q{ ¡k z h W Z:qsZqjkrecdfhsapkOm€q t Z+o8Z+m t apmf‘kbm  acmg$epkfv4grelepunŠ8kOdm t Z t [wgrm€mfZ z ª Ç k z Z±o z Z:v acqsZ+elu œ Z° z qshZ:qsh¨grŠfepacq W apmIh W apq og z gi‘ z gOo W h W gih „  •>Nv4d z e ‡  xFäª + Z  ¡k z Z1Š8Z4‘Oapmmapmf‘8ºfelZ+h,dqacmbh z k t dv Z±h W Z± ¡krepelk œ acmf‘\hsZ+v W mfapv+gieLepZ+[w[wgª žÁ  ¶˜      ¸‹C>¸l  Z w  

(155) © rC>¸l

(156) G T ;

(157) B9Z >›  . „ “(. Ð fª ‹EF >. "Tsv¸v$#% ½a z qjh2elZ+h,dq z Z+v4grele´h W gih{ ¡k z giepe.  “(. . &. „ (* . ‰. >  xFäº œ Z W g©‰OZ. “(. Ð fª O ™F >. (. & . › . (+*. „. * ~~ Y ( *. Og qHaph{v+grmnŠ€Z±q W k œ mŠOu t Z+mqjalh¼uwkr   > xFacm E> xFäª VW Z:mµaph{q¨d µv Z:qHhjk\gOoofepu >N fª O ŽFhjkRh W Zh z gOmqs‰OZ z qsZv kO[wo8kOmfZ:mbhjq kr  „ grm t hsk z Z+v+giepe=ºŸ ¡k z h W Z1epkOmf‘Oalh¨d t acmgieLv4kO[wo8kOmfZ:mOh+ºh W gih j&² ª ) ‡k œAœ Z±v+grmn‘rap‰rZ±h W Z1h Wz Z4Z1qjhsZ+o€qki 3kOd z o z kŸki }ª 5 |¾žqjhsac[wgihsZ:q2kOm   ”+–+Á = g qw Kg z gOq œ Z ¬ mfk œ grhh W acqµo8kracmbh4º       „(‡GK54 o — > ( xF -  › Št dfhQt alhacqmfkrh t aµv4delhµhjk§o z k?‰OZnh W gih   t z z W . ª m Z4Z  “  „ ‡GK 4 o > xF -  º€gOm [$k Z+k?‰rZ h gih > F j ~. Ð fª rƒŽF >. . j§„ . ~t. gOm t grq œ Z ¬ mfk œ h W grh. . „.   „ ‡GK54 o „† {j. želacmfZ+g z epu t Z:o€Z:m t qkbm. . ?„.  . ‰. “ > xF „ . ˆ. . ‰ €. Š € . ˆK> „ . -  ºaphapqv4elZ:g z h W gih ‰ „ >  F B   „ ‡GK 4 o. ª Ç k z Z4k?‰rZ zHœ Z ¬ mfk œ h W ig h    I „ ‡GK 4 o > rF.-       „ ‡GK 4 ¯†Zv4gOmIv4kOmv4epd t Z±h W grh „ ˆ  grm t  ˆK> „ ˆ  Fžg z Z±apm   „ ‡LK

(158) 4 VW dq   “  „ ‡GK 4 o >  xF -  ª 5 | g mfZ œ Z+mfZ z ‘Oub¢Nh¼ufo8Za t Z:mOhjalh¼uOª  ”+–+Á = ڕÚ"庹+õáñ »y¼ qjapm€v Z. „ >. F. . ˆ. F.  . “ > xF. -. o  >  xF.- . o “ >  xF -  ª. .

(159) ‹:. G › 

Références

Documents relatifs

La définition générale du concept d'évaluation formative des apprentissages retenue pour cette recherche constitue une synthèse découlant de la recension d'un ensemble

Effets et pouvoirs de la voix dans la philosophie et la littérature antiques Paris, Classiques Garnier, 2021 (Kaïnon - Anthropologie de la pensée ancienne, 19), ISBN :

relève de traités, et que les États membres sont des États au sens du droit international public, c’est à ce juste titre que J. Fischer peut qualifier l’Union actuelle de

Afin de saisir le déploiement de ce discours, j'analyserai dans un premier temps les représentations liées au temps dans le roman, en m'arrêtant d'abord sur toutes celles qui,

Cette recherche, de type qualitatif, consiste en une exploration de la littérature dont les buts sont de décrire selon divers auteurs, différe ntes expériences

For each sam- pling point is also given the value output of the merging process with the difference between the SH degree 100 expansions subtracted, the index corresponding to the

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

La figure IV.14 confirme que pour chaque vitesse massique testée, le coefficient d’échange thermique local reste plus important à proximité de l’entrée du