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Bruits et Signaux.

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(1)Bruits et Signaux. Didier Pelat. To cite this version: Didier Pelat. Bruits et Signaux.. 2006. �cel-00092937�. HAL Id: cel-00092937 https://cel.archives-ouvertes.fr/cel-00092937 Submitted on 12 Sep 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..

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(12)  ú ¼ÿ üû   !"#%$&&')(*')!+  , /. 10 32.  -. ʬv¤Ê º~r:t l¦naijcko ¸ ru^ t d or «fœ ckœjoc¬ kckbc £~vkv­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v å ÊkvjÊkvjÊ º l6r `%bti¤r «he r ­vIv+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v å ÊkvjÊkvyÞ º l6o efb d vv­§fv+b%c¬v­«v­l¦«fv+ijœjv­ij`fv­p v2bv6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ãä ÊkvjÊkvyå º n or:§ht œ r r r/4 vYv­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÊkvjÊkv ã 5 ^ r o«fruœ t d v­v­o v+v­efbv­v+^av­efœjv­œ v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ä ÊkvjÊkvyË 5 tr r r r:t r rkvv6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Ì Ê¬v Þ 4 b%c¬p «^ l¦«fo ijœjij^a`fr:` p t ijgu^fckd<^fdfp § ij`i¤^fc¬dI^fl¦^ ^ar ` œjœ r:t0vv­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Ì Ê¬v å 5š£n r b%g:r ijg r t r r t0v9v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÊkÊ Ê¬v ã 5 r rut v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Êwå. 687/#%'*&()/9(:;+ <=$'*#%%,. >. Þhv¤Ê › ^ ­r £ l¦biªl¦c¬«f^fœg:r `i¤lmc¬œw^r p l¦d `ckijbfb rkp §v l¦bv­`%v­ij`%ijv+c¬^ v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÊwË ÞfvjÊkvjÊ Ä b%c¬«l¦«hi¤œjij`fp r l¦`r `=l¦g"s<p l+¯ ehv ^7v2ij^av6` v2b v­l¦v+œjœ v­v­v­v+v­v­v+v­v2v­v+v­v­v Êwæä ÞfvjÊkvyÞ 4 b%c¬§fb%i0p `fp r d œªl­»„c¬ru^fr g:`i¤c¬^d bfr p §£ l¦b`%rkij`%vLijc¬^ v­v+v­v­v+v­v2v­v+v­v­v Ê ÞfvjÊkvyå 4¿i@?­p b r ^a` r:t `_Æar § d »°ck^fg:`ijck^ r dr bfp §l¦b`%ij`%vqijc¬v­^ v­v+v­v2v­v+v­v­v ÊwÍ ÞfvjÊkv ã ¿ ^ r ij`fr p d t §fb%c¬r:«t l¦«hr i¤œjij`fp t r r v v+v­v2v­v+v­v­v ÊwÌ ÞfvjÊkvyË b%r c¬§ft b%i0r p `fp r d œªl+d ^ ijr¬`fv9p v­d v2v6§fb%v2c¬«v­l¦v+«fijv­œjijv­`fp v­v+v­v­v+v­v2v­v+v­v­v ÞfÊ ÞfvjÊkvyæ 4 r r:t r r t r r rkv‚v+v­v­v+v­v2v­v+v­v­v Þkå Þhv Þ ¾ l¦b=lmg:`fr p b%i t `oi¤©acae d rut ^aefoqr p b%ij©ae r:t d r:t œjc¬i t­Ê ¿ v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¦ã ÞfvyÞfvjÊ º~r ocko r¬v5^av­` v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¦ã ÞfvyÞfvyÞ º~r:l¦t biªl¦«fœ lmr œwp l¦tw`v¨ckv+ijb v­g v­v+^a`%v­bfp v­v2`v6bfv2p dfv­efv+ij` v­v­v­v+v­v­v+v­v2v­v+v­v­v ÞkËä ÞfvyÞfvyå A l6oqp dhr içlm^ r `œ r ©ar el¦^a`r:i¤r œ r r rkv-v­v+v­v­v+v­v2v­v+v­v­v Þ ä ÞfvyÞfv ã º r rr r:t r:t0v­v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ Þhv å º cki t g:ck^hdfij`%ijœjckc¬^fi ^ r`%bœjœ ckru^ftw©av e<v+p v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÞkÍ ÞfvyåfvjÊ º~r:c¬t i g:ckt ^hdfij`%ijck^f^ rur:œjtwœ v §v+lmv­b|v­b"l¦v2§f§Iv6ckv2b`<v­l<¯ v+efv­^ v­Æ v­v+`:¯ v­o v­v+d(¸v­p v2p ^v­v+o v­^av­` v ÞkÍ ÞfvyåfvyÞ º t r rut t t r r r:£ r r r t0v+ÞkÌ Þhv ã 5 n r b%g:ijg rutwv v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÞkÌ -87/#%'*&()/9(:;+ <=$'*#%CD B E(*F'*;F#G/H ')IJ;KL')$K=, -M. ^ : g k c h e f § œ d m l % b ª i ¦ l h « œ ¦ l w œ p ¦ l  ` k c j i b › åhv¤Ê r r2£ rut r rutwvv6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v åfÊ åfvjÊkvjÊ Ä c¬b%c¬^f«g:`l¦i¤«hc¬i¤^œjij`fd p r l bfr p §cal¦g:biw`%p ij`%ijl‰¯c¬^ efv ^ v2b v6g:`=v2lm^fv­ kv+œ v­v­v­v+v­v­v+v­v2v­v+v­v­v åfÊ åfvjÊkvyÞ 4¿ ^ ij`fp d r §fb%tc¬t «l¦«hr:i¤r œjij`fp r rkvšv­v­v+v­v­v+v­v2v­v+v­v­v åfÊ åfvjÊkvyå c¬r i t o7r lmb% ¬r i¤^Il¦œ r¬v9v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v åkÞ åfvjÊkv ã ºÉ ckto ^a` d r:œ¤c¬twiv'v­¿ v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v åkÞ åfvjÊkvyË É cko r ^a` t d r:t œ¤c¬i t¥o Þ l¦vb% ¬ij^v­l¦v2œ v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v åkå åfvjÊkvyæ r t r:t t r:t0v7v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v åkË.

(13) N. åhvjÊkv ä A ckl¦ibiçlmg:«fckœ ^hr:dft ijl¦`%œwijrckp l¦^f`^ ckijœjb œ rut i¤l ^hd¥rcap § g:iwr p^fdlml‰¯ ^P` ehr:^ twv‰œ¤v­c¬i v­v2¿ v6v2v­v+v­v­v­v+v­v åkË åhvjÊkvyÍ º cki t g:ck^hdfij`%ijck^f^ r œjœ rut d(t%¸ eft ^ r:g:r:ckt eh§ r Þ v v­v+v­v­v­v+v­v åkæä åhvjÊkvyÌ º t r rut r rkvv+v­v­v2v6v2v­v+v­v­v­v+v­v å åfvyÞ 4 œ¤e t i r efb t<£g:`l¦b%efiªlmb «fœ l¦r:tœ0p l¦lmœ0`%r ckp lmijb`%ckijb r:`<twv ^fc¬v2`=l¦v­`v­ijckv+^ v­o7v­lm`%v+b%ijv­g:i v­œjv2œ v6v2v­v+v­v­v­v+v­vóã ââ åhvyÞfvjÊ A9c¬r ^fg:r `%ijc¬^t d r bfp §l¦br:`%t<ij`%r ijck^ r rkv‚v2v­v+v­v­v­v+v­vóã åhvyÞfvyÞ Ä b%c¬«l¦«fijœjij`fp r d(¸r ef^saÆa§ b vb g:v­`"l¦v­^fv+ ¬œ v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóã â åhvyÞfvyå 4¿ ^ ij`fp d r §fbck«lm«fijœji¤`fr p à r rkvv+v­v­v2v6v2v­v+v­v­v­v+v­vóãÊ åhvyÞfv ã ckr i t o7r lmb% kr ij^lmœ rkv¨v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóãÊ åhvyÞfvyË ºÉ ckto ^a` r:twv'v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóãPÞ åhvyÞfvyæä É l¦`b%ijr g twd v v­v­l¦b%v­iªlmv+^fv­g v2v6g:c v2l¦v­bv­içlmv+^fg v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóãPÞ åhvyÞfv cki g:ckr ^hdfijr:`%tijck£ ^f^ œjœ r:t¼Ã £ r:t0vYv­v­v2v6v2v­v+v­v­v­v+v­vóãPå åhvyÞfvyÍ º cki t g:ck^hdfij`%ijck^f^ r œjœ rutwvÇd v6v2g:c¬v­efv­§ v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóãPå åhvyÞfvyÌ â º l¦bt içlm«fœ l¦œwp l¦`ckr ijb rut i¤^hr:d¥t p § ^fdrulmtw^Pv<` v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóãPå åhvyÞfvjÊ A r:t r rut r r r:twv‰v­v­v2v6v2v­v+v­v­v­v+v­vóãkã få vyå 4 œ¤e t i r efb t<l6£ko7r g:l¦` `r b%efijbg t lmd œwr p l¦g:`c ckijl¦b r:biçt0lmv!^fg v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóãPË åhvyåfvjÊ º r r £ rkv v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóãPË O/PE9KEQ;IJ;K<RH TS;#%')9&E(*T(::+ 9<U$')#%,. NV. >YXZ$ID&#%[;<]\^$K%<='*$K/%#%%<E:+ #%'_L<U'_`F! ,. a-. ãvjÊ › ^ r­£ l¦biçlml¦«fbiçœ lmr«fr œ `<eh^l¦œwr p l¦»„c¬`ck^fijg:b `%ijc¬^ g:ckvL^a`%v2ij^av­e v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vóã ää ãIvjÊkvjÊ A› ^fiÒ»„c¬b%or:ti l¦`%r ijc¬^ d rut l¦b%iªlm«fœ r:t0lmv(œwv­p l¦v­`ckv+ijb v­v­guv2ck^av6`%v2ij^av­e v+v­v­v­v+v­vóã â ãIvjÊkvyÞ ¾ sl¦^f  o t ^P`¨d rul¦t<biª£ l¦«fœ `<r:ti¤^hd¥r p § ^fdr:lmt ^fg r:t0v v­v­v+v­v Ë ãIvjœ¤Êke vyå i efb »„ck^fgur`%ijck^ r d r­§h£ œ¤e i efb rr l¦biªl¦«fr œ r rkv v2v­v+v­v­v­v+v­v ËfÊ ãvyÞ ›4 ^ t »„r ck^hg:t `%ijck^d §ftœje ir efb t lmr b%iªl¦t«h£ œ r:t0v#v­v­v2v6v2v­v+v­v­v­v+v­v ËfÊ ãvyå r Ÿackoo r `<dfWi t?2r p b ^ft<g £ d d rueftwn v~v+l¦v­b%iªv­lm«fv+œ v­v­lmv2œwp v6l¦`v2ckijv­b v+v­v­v­v+v­v Ëkå ãIvyåfvjÊ b%cadfefijr¨`<r d d efr n r lmr b%iªl¦«fr œ r l¦œ0p lm£ `%c¬i¤b r:t r r:t0vv­v­v+v­v Ëkå ãIvyåfvyÞ 4± ehck`%i ^a`<d r d r efn £ lmb%iªl¦«fr:œ t l¦r œ0p lm`%c¬i¤r:b twvv­v2v6v2v­v+v­v­v­v+v­v ˦ã ãIvyåfvyå r r r £ r:t r r:twv v2v6v2v­v+v­v­v­v+v­v ËkË ãv ã ºArn §oc¬i¤§f^aœ `¨d r+£ e r d r:t §fb%c¬«l¦«hi¤œjij`frup t g:c¬^fdfij`%ijc¬^f^ r œjœ r:twv v2v­v+v­v­v­v+v­v Ëkæä ãvyË 5 r É r:t0cav dfv+efœ v­v­`v+§fv­sv­l v­v+d(v­¸ efv2^ v6g:ckv2ehv­§fœ v­v+d v­v­lmv+b%iªv­l¦«hv­œ v2v6l¦œwv2p l¦v­`v+ckijv­b v­v­v+v­v Ë ä ãIvyËfvjÊ É cadfefœ rr `­§fsl t%r d(¸ ef^g:c¬ef§fœ r d r2£ l¦biªl¦«fœ rut l¦œwr p l¦`ckijb rut‹v­^fv+c¬b v­v Ë ãIvyËfvyÞ o7l¦œ i¤r+^hd¥r p § ^fdt%lmr ^P` r r+£ r:t r rut à : r t r r : r w t ~ v 6 v 2 v ­ v ­ v v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ËkÍ ãvyæä Àn t § b%r g:g:ij` g t ^aefoq`<§hr p b%b%ckij©a«he œ„r:¯ ot0vv­v+v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v æ ââ ãv 5 r r:t­r r r:t0v÷v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v æ ËfvjÊ º ¸ r:t §<r p b=l¦^h¸ g r §<o7p b=lmlm`%^fs<g r p o7o7l¦lm`ij`%©Ps<e p rko7vCl¦`v6ij©Pv2e v­d v­v+v­l¦v­b%iªv+lm«fv­œ v­v2l¦œ0v6p lmv2`%ckv­ijb v+v­dfv­i v­g:b:v+¯ `v­v ækå ËhvjÊkvjÊ º ¸ r:t §<r p b=lm^fg r o7l¦`s<r p o l¦`%ij©ae r d r:tU£ l¦biçlm«fr:œ t l¦r œ0p lm`%c¬i¤r:b t g:t ck^a`r i r:t0vækå ËhvjÊkvyÞ ^Pº e r:t r r r r r:t­£ r:t r r:t à r¸ :tw§<v9p v­b=lmv­^fgv+v­o7v­lmv­`%s<v+p v­o v2l¦`v6i¤©av2e v­v­d v+v­v­l¦bv+iªl¦v­«fv­œ v2v6l¦œ0v2p lmv­`%ckv+ijb v­v­©av­e v+œ v­v ækË ËhvjÊkvyå g:º ckr:^ft ©ae r r r r r:t‰£ r:t r r:t r à u r w t < v + v ­ v ­ v ­ v + v ­ v 2 v 6 v 2 v ­ v v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ækæ ËhvjÊkv ã 4 b%c¬§<§fp b=b%l¦i0r ^hp `fg r:p t o7d r lm`%œ_¸s<r:t p o7§<r p l¦b=`lmij^f©Pg e r o g:ckl¦^f`%dhs<i¤r p`o7ijcklm^f`%^ ij©aœ¤e œ rkv(v6v2v­v+v­v­v­v+v­v æ ä ËhvjÊkvyË 5št §<r p b=l¦^hg r d(¸ ef^ r »„c¬^fg:`i¤c¬^ r d œçl l¦biªl¦«fr œ rkv<lmœwv6p l¦v2`ckv­ijb v+v­v­v­v+v­v ækÍ ËhvjÊkvyæ 5št r r r r £ r r rkv­v­v­v+v­v ækÌ ËfvyÞ \_^<r p  Plmœ¤ij`fr:p t ¸ ij^¥ijop  P§flmœjœjiji¤©a`fep l¦d ^¬`|¾ d r:l¦tefg"r:sat §<Æ r p Ÿb"l¦g=^f;s gb<rul¦twdb vc v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ækÌ ËhvyÞfvjÊ º rij^<p  al¦œjr ij`fp r d ¾ lmefg"à saÆ Ÿag"s;b¥lmvb^c­v­d(v+¸ ckv­bv­dfb v2v6v2v­v+v­v­v­v+v­v ækäkÌâ ËhvyÞfvyÞ º~r:t r r:t r à r ešv9v­v+v­v­v­v+v­v [ ËfvyåYf cko«fb r:t gwl¦ob"l¦ckg:o `fr p b%i^Pt ` `ij©Pe r:twv>v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ää Ê ËhvyåfvjÊ º~r:t r twv¨v­v+v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Ê.

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(17) s=PK <U'*(*()$KE/H T$F(*<U'*$KJKE$#%IJ(*,. t‘. wh}@<=')IJ9<U'*$KJi$K%<=F;()(*,. 6s‘. 6h}@<=')IJ9<U'*$K Hi}@'*K<=;#%S;()(v, r . 66-. -DO/$IJIJ;K<"$&E<=;K')#RH ]!L<=')IJ<=;F#™‘š. 6->. Ê â vjÊ@ºAâ r `%s<r p c¬b:r¯ cko i r efd i r+i Ä i§t l¦s b<r b œªl6vUv+ov­c¦Æ v2v6^f^ v2v­v­ v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vÊ0ÌkÞ Ê â vjÊkvjÊ º cki t efi £ i r §l¦b<œªl l¦biçlmr ^fg r o’ cadfv i v­p v+v­ n v­v2v6v2v­v+v­v­v­v+v­vÊ0ÌkÞ Ê â vjÊkvyÞ>\_º ^fd<p t § ^f£ dr lm^fg d £  ` r n rur1“ vv2v6v2v­v+v­v­v­v+v­vÊ0Ìkå Ê vjÊkvyå r r r r ’ r “ vv+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vÊ0Ìkæ Ê ââ vyÞ º l+g=sIœjl¦c¬^ai~`%d ijœjrœjck ^ Ÿa`%i efd e r ^a` d(¡ ¸ efv‚^ v­v+œjckv­i~v2^fc¬v6b%o7v2v­lmœ v­v+¿ v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­vÊ0Ìkæ Ê â vy”å 5 n b%g:ijg `<t §ht%b%t ck«ht œ„¯ o r rÞ vv+v­v­v2v6v2v­v+v­v­v­v+v­vÊ0ÌkÍ Ê v •ã 5 r r:t­r r r:t0v÷v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ âkâ ÊkʬvjÊ@º +l guck^ £k¾ r bck  ^ r ^hg brk  v<^hv+g v­v­d v­œªv+l+v­ov2c¦Æv6v2^h^ v­v­v+`<v­d v­œªv+l v­lmv­b%iªv2l¦^fv6g v2v­ov+§fv­ijb%v­ij©av­e v+v­v Þ ââ Ê Ê¬ÊkvjÊkvjÊ £kr r r r r rr r £ r2r rkvv Þ Þ ÊkʬvyÞ º ¸yl¦« tr ^fg r iªl¦d i r d «hiçlmœªi l twvlmv­b%iªv­l¦^fv+g v­d‚v2¸ v6eh^Cv2v­p g=v­sIl¦v+^fv­`i¤œjv­œjckv+^v­i v­i dv2v6v2v­v+v­v­v­v+v­v Þ ââ Þ Ê¬ÊkvyÞfvjÊž¾ ck^ t br  ^hg £ `lm« r ^hg d r «hiçlmi v v vv2v­v+v­v­v­v+v­v Þ å ʬÊkvyÞfvyÞ £koqr p `%sfr cad r+r § bo t%r ``=lmr ^P`<r d gucktwb%v bij  v+bv­dfv­e v2«fv6iªl¦v2i v­v+v­v­v­v+v­v Þ ââ ã ʬÊkvyÞfvyå>\_º~or:t §Ickb%r`"l¦^fg rud t r `ijro7l¦` efb r ^fck^ «fiªl¦r i p twv÷v­v­v­v+v­v Þ âkãä ʬÊk¸ vyÞfv ã gwl¦gui¤`fp r r:tr:t r t à t r:twvv6v2v­v+v­v­v­v+v­v Þ âkä Êkʬvyå º rr – brkdfv#b v­^av­`%v+b v­v­`v­i¤o v+l¦v­` v2efv6b v2guv­ck^ v­v+bv­  v­^a`v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ âkä ʬÊkvyåfvjÊ ® ¸ ij^¥p r6 Plmr œji¤`fp r6d r:t bfp g"s r `­ckt ed £kr l¦c r ¾ b=twlmv­oqv­p v2b v6v2v­v+v­v­v­v+v­v Þ â ʬÊkvyåfvyÞ>º r `%ijo7lmr ` r+ehb Ä Ér r Rr k à r v v2v­v+v­v­v­v+v­v Þ Í Ê¬Êkvyåfvyå>º~r:t<gwr:l¦t gui¤`fp ` r `t ijo7l¦A` ž2efvb v2v­g0v­l¦g v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊkÊ Ê¬Êkvyåfv — ã 5 – r­r r:t r rr – rkv¨v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwÞ Ê¬ÊkvyåfvyË ¾ ¸l ij^at »„d ckr:bto7rulmt `%`%i ijc¬o ^ l¦d ` r efb ti s«fiªlmb i t r:p twv‰v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwÞ Ê¬Êkvyåfvyæ> º r Ä t r v+v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwå ʬÊkvyåfv ä`"l¦`º~i r:`%t ij©aij^<e r p  al¦œjnaij`fsr:p l¦t e d r2`%i ž slm`%`=lmg"sl¦bÆPÆal v v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊ:ã Êkʬv ãºAr:t<t t nasl¦e r:t`%i r ij`fp `t ij^a£k»„ruc¬twb%vo7v6lmv2`%ijckv­^ v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwË Ê¬Êkv ãvj˜ Ê 5 t £ rr vkv+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwË Ê¬Êkv ãvyÞ>º~Ÿa`=r lm`%`%s<i r p`cki¤©ab:r¯e o r d nar+sl¦Ä e i t s`%i r b Ã fr ` Æao7É l¦^ v÷v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwË Ê¬Êkv ãvyå`"l¦`i `%ij©ate rul¦t<«frœ t £krutr Až2vv+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwæ ÊkʬvyË ºAr:n t<b%t g:ijg t `<§hr:b%t ck«~ ¯ o r:t0všv+v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwæ Êkʬvy”æ 5 r r:t­r r r:t0v­v+v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v ÞhÊwÍ ¿r p ^fij`%ijck^d r œ½¸ ij^a` r b £ l¦œjœ r d r g:c¬^ lm^fg rkv!v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬Þkå ºAr:t § kc¬b"i¤l¦^a^f`¨d d t r p g"se l¦^f`ijl0œ¤Æœjc¬^ i twv ^ v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬Þ ä ºAr r+£ r­ž r:t r v v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬ÞkÍ Ê\_0^aÞf` vyåfb vj˜ Ê lmœ¤5 œ n rd o§fg:ckœ r ^ `%ijl¦bf^fr p g d r œªl+¿ œjc¬i~^fckbo7l¦œ rkv-v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬ÞkÍâ r £ r b%ij^fr g:ij§ d g:ckr"^ eh`%à befg:vÇ`%ijc¬v6^ v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬å â Ê0Þfv ãvj˜ Ê 4 r r t v v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬å Ê0Þfn v ãovyÞ>§fœ º~r gwl t d r œªl+œjckiI^fc¬b%o7lmœ r2Þ ¿ všv+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬åfÊ ÊwÞhvy˔5 r \_r:^Pt0` v b v+lmv­œjœv­v+d v­g:v­ckv­^ v+l¦v­^fgv2v6l¦v2§f§hv­b%v­c¦nav+ijo7v­l¦v­`v+iÒ» v­d(¸v­ef^v2v6b=lmv2§f§v­c¬v+b%` v­v­v­v+v­v Þ¬åfÊ Ê0ÞfvyËfvjÊ r £ r r r v v­v+v­v Þ¬åfÊ ÊwÞhvyæ”5 n r b%g:ijg r:t0vÇv+v­v­v+v­v­v­v+v­v2v6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬åkå ÊwÞhvjÊ ÊwÞhvyÞ ÊwÞhvyå ÊwÞhv ã. ÊwåhvjÊ@º +ll+oqoqr pp `%`%shshcPcPdd r ddhr:e7t o ol¦c¬nao ijo r ^aeh` o t0v­d v2v6b=v2lmv­i v­ov+«hv­œçlmv­^fv+g v­v­v2v6v2v­v+v­v­v­v+v­v Þ¬åkËä ÊwåhvyÞ º r b%ij^fr g:ij§ d œçl‰oqp `%shcPr+d £ tr rkv‚v­v2v6v2v­v+v­v­v­v+v­v Þ¬å Ê0åfvyÞfvjʘ4 b%c¬§fb%i0p r`fp r d œ_¸ r `ijo7l¦` rkv efb¨v­dfv­e v+o7v­lmv­nPijv+o‰v­efv­o#v2d v6v2b"v­l¦iv+v­ov­«fv­œªl¦v+^fgv­v Þ¬å ä Ê0åfvyÞfvy› Þ 4 r r:t r r:t r r2£ t%r rkv‹Þ¬åkÍ.

(18) ÊwåfvyÞhv å>«fº œªc¬l¦i ^fr g ` £ l¦b%iªlm^fg r d r œ_¸ r:t `ijo7l¦` r efb<dfe o l¦naijoefo#d r6£ b"l¦i t%r o à rkvv6v2v­v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬åkÌ Ê0åfvyåœ5 n r o§fœ r:t0v`ijo7v­l¦v2`v6ijckv2^v­d(v­¸ efv+^v­b=l¦v­§h§v+c¬v­b%` v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÞmãPÞ Êwåfvyåhv¤˜ Ê 5št vRv6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÞmãPÞ Ê0åfv ã k n r p »kr b%p b g:r ij^fg g r:twv `<§fv2b%c¬v6«fv2œ„¯ v­o v­v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÞmãPæ Ê0åfvyœË 5 r rut2r r r:t0v÷v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÞmãPæ ;NhiIž;+ <=P$ŸH wH ]IJ$'*KH#%[ #%#+ %, 6N V Êuãvjʺ~r §fb%ij^fgui¤§ p c¬r oq 9r pp ^<`b%r p i b"l¦lmœ `%v÷ + v ­ v ­ v + v ­ v ­ v 2 v 6 v 2 v ­ v + v ­ v ­ v ­ v + v ­ v ­ v + v ­ v 2 v ­ v + v ­ v ­ v. v Þmã ä Ê:ãvjʬgwlv¤˜ Ê ^fp ckr bo7lmr œ t ijck^d r œªl6oqr p `sfckd r d rut oc¬ij^fdfb rut gwl¦bbfr:p t0vv+v­v­v ÞmãPÌ ÊuãvyÞ º~r t É ckij^fdhb v v2gwlmv­b%bfv­p v+§v­c¬v­^fv+d<pv­bfv­p v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ÞmãPÌâ Ê:ãvyÞhv¤Ê r:t r:t r r:twv+v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬Ë Êuãvyå º~r gwl t œjÉ i¤^<car p d~l¦ij¯ b œ r¬v œji¤^<v2p v­l¦ijv­b v+v­v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ËfÊ Ê:ãvyåhv¤Ê c¬^fg:r `i¤rc¬^ l¯r `r¬i¤vo v­v­b v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ËkÞ Ê:ãvyåhv Þ>ÄÉ cad~¯ œ œji¤t ^<p l¦r:ijt b bfp r dfefv ij` v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬Ëkå Ê:ãvyåhv å pr ©PreIl¦`%ijc¬r ^ r^fckbr o7lmœ vv­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v ެ˦ã Ê:ãvyåhv ãLº~Ÿackr:tœjefr `ijck^dhe7ot cad ¯ œ œji¤ru^<twp v-l¦ijbv2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ËkËä Ê:ãvyåhv Ë §Il¦b=lmoqp `b%i lm`%ijckr ^r dhe7or cad r¬¯ v<œ v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬Ë Ê:ãvyåhv › æä \_k<^ar ` b§fbfp `"l¦r `i¤c¬t^  9p c¬oqp `b%ij©ae r d rkvkv­œªlv+oqv­v­p `v­sfckv+d v­v­d v+v­ov2ckv­ij^fv+dfv­b v­v Þ¬ækæ Ê:ãvyåhv gwl¦brbfp ¢Ir dl¦^ œ_¸ §r l¦g r d ck«r b r l¦`%ijc¬^ r r r:t r:t r`:s¥t p ckb:¯ o t d r:t l¦r e rut É l¦bdt%ukr c £ dlm^ twœv v+gwl v­v­œ¤ijv+^<pv­l¦ijv2b v­d v+v­œªv­l v Þ¬æ ä Ê:ãvyåhv Í>oqº~r p `sfckr d r d r oor c¬i¤p ^hdfb tt_à gwlmb%bfp £ t r t r r r rc¦Æ ^f^ r r:` t lmb%iªl¦^hg r:d t ru`%twijo7vlmv­` v+efv­b v­d v­v+ov­v­ckijv+^fdhv­b v2v­gwv+l¦bv­bfp v­v Þ äkä â É Ê:ãvyåhv Ì â `ijo7r l¦`r­ijckr ^d £ œªl lmrb%iªl¦^hrutg r:t n r t r:t r:t r:t0v Þ Þ Ê:ãvyåhv¤Ê 5šc¬t i efi i §Il¦b¨r œ £ `%ijo7lm` [r ef  b vd v­v+ov­ckv­ij^fv­dfv+b v­v­g0l¦v+b%bfv­p v2v­v+v­v­v Þ ää å Ê:ãvyåhv¤Ê¬Êfº p  ¬ijt ck^£ d r guck^ rulmt^fr:g t dIl¦^ r œ_¸ t §Il¦r:g t d §l¦b"r:l¦t o¯ `%b r:twvLv+v­v­v Þ ä ã Ê:ãvyåhv¤Ê0‘Þ k r r r t r:t r r:t r r:twvRv+v­v­v Þ Ë Êuãv ã k n r:p t efb%g:oqijg r p d r:t `<§h§fb%b%ckc¬§h«fb%œ„iw¯ r op `frup t dfe ocad~r¯ œ r œji¤^<r p l¦ijb r¬v v­v­v+v­v­v+v­v2v­v+v­v­v Þ ä Íâ ÊuãvyœË 5 r rut2r r r:t0v÷v­v+v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬Í ><=')IJ9<U'*$KœH w#%9I”:B <=#%%,. 6jM. Ê0Ëfvjʺ cki r nP§Ick^ `r ij^ao7`%i l¦r `œjœijrkckv‹^v­§Ickv­^fv+g:`v­e v­œjv+œ v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÍfÊ ÊwËfvjʬv¤Ê˜5št `ijo7l¦`ijck^d(¸ ij^a` b r l¦œjrkœ v­v­v2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÍfÊ ÊwËfvjʬv ޛ5št r £ rkvLv2v6v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÍkÞ Ê0ËfvyÞ º cki~^hckb%o l¦`œ ijrko7v¬l¦v2`v6ijckv2^v­d v­œªv+l+v­ov­c¦v+Æ v­^h^v­v2v6g:v2ckv­^h^v+l¦v­i v­l¦v­^a` v+v­v­v+v­v2v­v+v­v­v Þ¬Íkå ÊwËfvyÞhv¤˜ Ê 5št r r r ¡ t%t  šv v+v­v2v­v+v­v­v Þ¬Íkå ÊwËfvyÞhv › Þ 5št ``ijijo7o7l¦l¦``ijijckck^^dd /r ¡ n­^ g:r c¬g:^fck^^flm^Ii l¦i lmt%t^Pl¦` ^a`<§l t  švv+v­v­v+v­v2v­v+v­v­v ެͦã ÊwËfvyÞhv › å 5št r  [ tt ¡9vRv­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÍkË ÊwËfvyÞhv — ã 5št ``ijijo7o7l¦l¦``ijijckck^^ d ij[r o  efn­œj`"^l¦^<r p g:c¬d^f^lmi tt lm` ^P`<n §Il ‰t ¡9vRv­v­v+v­v2v­v+v­v­v Þ¬Íkæ ÊwËfvyÞhv › Ë 5št t r:r [r ¡ r   vRv­v­v+v­v­v+v­v2v­v+v­v­v Þ¬Íkæ a<=')IJ9<U'*$KœH w(*(*$'d, 6jt  ` ¤ i. o ¦ l  ` ¤ i ¬ c  ^ d ª œ ­ l „ » ¬ c f ^ : g  ` ¤ i ¬ c. ^ d f b p  § m l % b  ` ¤ i  ` j i k c ^ Ê0æfvjÊJ5št r r r v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÍkÌ Êwæfvjʬv¤Ê º l¸ r:t `%`"ijl¦o7`%i lm`%` rij©aefe b  d ^lm`%efckb œjr oœ T¡ c¬ ky c¬ b%v­c v2v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÍkÌâ Êwæfvjʬv Þ>º t t r /r . £~v v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬Ì Ê0æfvyœÞ 5št `i¤o l¦`É i¤c¬ca^d~d(¯ œ ¸ ef^ d r œjg cki ^ r ^ efb §fbfr:p t%r ^fg r d r g r ^ t efb rkv9v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÌfÊ ÊwæfvyÞhv¤Ê ¸ `%r ijo7r lm` r efb¨r d t r¬l¦v+§fv+œªlmv­^ v­É v2v6i v2b v­v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÌkÞ ÊwæfvyÞhv Þ>º r:t r /r . à r r v v+v­v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬ÌkÞ Ê0æfvyå ¿ r ^ t ij`fr p d r `ij§fo7b%l¦c¬` «l¦ef«fb ijœjij`fefrp «Ir ckobdf§fckijb^fi¤©a^<e p r¬v2l6¯ v6ef^ v2v­^fc¦v+ÆPv­lme v­v­v+v­v­v+v­v2v­v+v­v­v Þ¬Ìkå Êwæfvyåhv¤˜ Ê 5št r t<t r:t vLv+v­v­v+v­v2v­v+v­v­v ެ̦ã.

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