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(1)H-Correction Houman Borouchaki, Frédéric Hecht, Pascal Frey. To cite this version: Houman Borouchaki, Frédéric Hecht, Pascal Frey. H-Correction. [Rapport de recherche] RR-3199, INRIA. 1997. �inria-00073490�. HAL Id: inria-00073490 https://hal.inria.fr/inria-00073490 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. H-Correction Houman BOROUCHAKI, Fr´ed´eric HECHT et Pascal J. FREY. N ˚ 3199 27 juin 1997 ` THEME 4. ISSN 0249-6399. apport de recherche.

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(202) Q i¡^ y `bY y n™ []eT²^aYd\Z\m^9‡fS‡ y c¾l ¯ l`kqcjYZS \ yS ’ y n^ae-[NsuS s^ n ykcjyrSe]’ °e Shzk’ [-Sj¨tlb „^a[ [$™ ^Q s P su^9S T" Ai []S$n Sª\dS$`˜^9TCYd\Z\d^9S9Ydlt\Z\mlq^ai ‡jS9S$’ sœYžsu c SA’yk› y S9lqi-cfe n ^aew`$l“cfYd`^ n ^ai]` S’ ¢ ^Q []e]S y Ym^9`kYZcfe n S yT Sh’ ` y Ymyh A° []S9l n ^a’ e-y l\ ™ S9lqi¡^fnsu™ S nn Ssœcfew` yfcjš \dS2S®lq`’ YdTg’ i c ’ y ` ^aew`kS4y Sh` ‘ j c " T " T  S m \  ^ j • ^  „[rS\dS TC^9Yd\Z\m^a‡jSYZe]Yd`bYm^9\AS9lq`‡ cAlblqYZS €h†«Yd` S ^9`kYdcje-l ^ ^ai]` ^a`bYdcfecje7` S` Se S9suS9lblk^aY S9l ' ! (. >@?.  .  .  . . . . .  .  .  .  .  . . . .  . . .  .  . . . . . . . .  .  .  .  . #%$ G#%&.

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(206) › T²J^a^aYde-\Z\mlC^9‡fsuS$S!^shn^fl^air`B±S ’ Yd` ^Q S \ ^9™ S9`klqYZcfi¡e-^flsuS n ^ S<^asœi]cf`ew^a` `kyfYZcjš cf\de SŸcf¢;s ew½ ` › Yi]Y dy ‡jS$[ y ¢ S&y S9U(lqiRS›2e T"P c9^9pA[]Sh` e]e]^Q Sfn¨ y S9cflqYZ` `kSfn ¨ ›S²‘ †7S&›d€<TC¢ y ^9S9Yd\dlq\_iR^a›2‡jS†7›ýsu6ƒ cjBAT"¨˜› i  y Se e n ^9‡ fy † ^aDfe ‚ n Y_Shlk’ \l“ShSh’ T"T"ShShewew`˜`lœ›l“[ Xwy ^(\m A^ [-h^acj\ZYde]` SS ’ sn y [ YZ`kY_e] „cf[][]S•AS®S9^alq`&[ YdTC\Z\d[-^al“YZ`\d\myr^9S$’ ‡fS!lq[ ^ y n \m^9^ i]` 4YS<’ d‡fS9[ lqy`CS(T"U SYd¢Æ\dSh\ZShe [ ”y S"^jl Sh`"^Q \ n™ ^ y n cj^aYd`bi]Sf` ¨˜^a› `kYZ´cfe¸S$T ^ Shš suTgcje7S •A° S \my ^ ‡ S’ AS([-^ai]\Z\ZYd[-` Sl ’ y ^9i]Y n Sy T"Shew`h›h¬-S9l n Shy []vVi¡^n y `bYdS9l n S \m^ 4Ydn ‡f[ y S ’ B

(207) ¢ÆQ She P yr^a’ []n ` ^Q n y cjYd`bSSheªShe n ”y ^jl ^Q n y cjYd`bSf¨ T" „[rcfS

(208) ew\` ™ ^9Sh‡ ewy `^9\me ^«n sœY_cflklqewS•AT"S Shl“ewYdcf` e lq[ y [L\_TC^ h^9cfYd\Zer\m^aSª‡js S2y ^ YZ`kY_^a „ir[]`S¾SV› |¢ ^ Sh\_TC^ ^ Sy  A[][-cfsue¡`kYZl­cfe^9[-¨-lkSl“eLY4 A „[-[r^S

(209) \_^L^9e] A‡f[-\Z^aS9\ZlYd` ^9S ’ Yde-n l“[ Y TC^aYZ\d\_^a‡fSG „[-^ n y ^9e]‡f[r\m^aY y SªS9l“`´T"SYd\d\ZSu[ y SA› ' !  2 >@? ‹wŽ , ¼Æ‹ 2 n™ [rn e S9’ sucj[]\dST"Shew`sœcfT¯ y Q r y ’ y ´ j c [ « l ` 9 ^ d Y b ` f c e l  ^ i 9 S q l h S w e « ` ] [ ] e © S u s f c w e  f ‡ [ a ^ b ` d Y f c e u s _ \ f ^ k l “ l m Y A   ] [ S i½ ^ay YZS®`klkSªlqY •7” Y_\d^

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(211) Sh’ T"`bS9Shs ewP `˜e]l´Ym A-[]erS Yml n SªS!•Acfsu\ZS"[]T"i y S9c l” -\ ShQ e]T"Y_l´S"{JS9^®l“`¯ \d| S y[r7Ye]Z‡fe<Su¯ ^hV•AS9[]sL`k` \d^ S9lV^Q •jU&^ y i-Ym^^f”lœ› \dS9lª^9[]v±ercASh[ n lªSh`ª[]e lbs P Sh’ TC^ n™ Ydew` Sh’ ‡ y ^9`kYdcje$She<`kShT"i¡l n S Q^Q  ;\J^fs l P °™ ^9‡f‚±YZ` Sh` n™ | n[]eShpwe]S9’ sucfcj\ n []l(\dShTg€hn †jSh†fe7†j`&†7›Vl“[]¬-i-S±S y erl“cfcfTe]Y_”] „y[rS S n^9™ []Yd` `kS ’cjy [ ^a’ y `bYdcjne-™ []l e n [i y cal“cf-\d\ •ASn[ ™ ^ay—Yd\ZShS’ ` ’ ^ay new™ `^h•7-YZcfv e S ’ ^¬ ™ S9l“†fi-†j^f† sœS []n e]S(S<sœ^ cfew^a` iryfcj`˜š ^a\dS"`bYdcjS®elq` n S$S ’ n T²[]Yd^a` Yd\Zn\m^9™ ‡f[]SCe S9S9lql“`²`kYZTC^ai]^ai]`b\ZShYm A[ [y ShnS™ S `kykcfy [rS[`kS9yLl” \Z^jS9ll S’ Bflq†f[ † y Yd\d` S S P ^9S®`klkYdcjlqYZe-Shlue › nQ S"™ \_’^ l“cf\Z[]`kYZcfne™ ›2n ¬^ 4Yd‡f[ y S T"cje7` y SLy \ZS n n S y e]YZS y TC’ ^9’ Yd\Z\m^a‡jS&^ n ^9i]` S²’ suc yby ’ S9l“i cje n ^9e7` ^(¢ y S9\ lqShi`˜›-^9T"i S c9pAShe]er^ Sf¨ ^9n i]S`˜^9sœ`kSLYdcjTCe—^9 AYd\d[]\_^aYt‡jsuS

(212) cfTgS®lqi `J†7Sh›de €$B ¢ yDfS® lqi‚ ›†7S\ ›×ShfT"‚„¨ S› e7¬` ^lu›Y¬Z^±‡f[  Ay [-S^aƒ\ZYd` TgScfT"ew`YZe]y S YdTg^Q ^a\_\Z^ S Tn SªShš T"\ ™ S9S lqi-S’ ^j`˜^asui-S S n SGn™ su^ cfn ew^a` i]yj`cfš ^a\dSo`bYdcf^jelklq° cw\ZsœS

(213) Y S ’T²° ^a AYd[]\Z\mY^9S®‡flqSJ`¥^ sun cj^9T"i]i-` S cA’ l ^Q S ’ []n erS S yrDaS U’ n Da[-U sœS`k’ Yd\ cjSh’ T"e S^Q e7= ` lu¯ ›As ¬P ^cws  A3[-^a \ZYd` ‚S ’. . . Î. GHG IKJ6L5M$M. .

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