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Algorithms Seminar, 1999-2000

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(1)Algorithms Seminar, 1999-2000 Frédéric Chyzak. To cite this version: Frédéric Chyzak. Algorithms Seminar, 1999-2000. [Research Report] RR-4056, INRIA. 2000. �inria00072581�. HAL Id: inria-00072581 https://hal.inria.fr/inria-00072581 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..

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(19) ~ s T r s NPgNPd p ` K s Nbtv\ p cg;W fYOSkN p g€GUOU9V ”jQj€LuW {j”mQOWOjX €u” Q^}^}OV ”mQOVO^V Q ”Y^W Q^}FmU ”Z^W |u{uyn”zd^WYwWOXOWu{j‘ JLK NŸ`Œ\_WmciNPWzc—\^ŽYc K NPgiN t p \j`ŒNbNPwYXaWY]_g`Œ\_WYgXagicgL\^ŽgfYOOd p XaNPgŸ\^Žc K N8cd^[\[ gb”fYgfYd^[a[ah^] p XZciciNPW k h>d p Nbt\ p ciN p Ž p \_O c K NSd^fYwYXZNPWY`ŒN^‘`_. LJ K N’t p XaO4d p h ]^\_d^[6\^ŽEc K N giNPOXaWYd p Xag ci\´`Œ\ˆ^N p c K N Od/qi\ p ONbc K \jwYg„ŽA\ p c K N dP^N p du]^NŒ“–`bd^gN d^WYd^[Zhm“ gXag\^ŽLd^[Z]^\ p XZc K OgEd^WYw wYducd’gc p fY`Œcf p NPp gP‘ ~NPXZ] K k\_f p XaWnK]>ci\^tXa`bgE\^ŽLgicf,wnh d p N `Œ\_OSk,XaWYduci\ p Xa`bgb”—gihjOk\_[aXa` `Œ\_OJLt,K fYcducXZ\_W*”,d^gihjOtYci\^cXe`8d^WYp d^[ZhjgXagb”jt \^kduk,K Xa[aXagp cXa`ONbp c \ wYgP”Yd^WYK w `Œp \_Ot,fYcdup cXZ\_WYd^[*k,Xa\_[Z\^p ]^h^‘ p XZ\_fYg N i g  c Y f n w h ^ \  Ž Œ ` _ \  O  k a X Y W u d i c \ a X ^ d  [ ^ \ j k i q P N Œ `  c g R c P N X n w P N  g ` Z X Y t  c Z X _ \ * W • ” c P N X P N W Y f  O N u d  c Z X _ \ W ^ d b ` Œ ` \ , w a X n W ] i c ’ \ C  d t,d p d^ONbciN p gp R d p Xegip NPg WYdup cf p d^[a[ah XeW p c K N t p p \ `ŒNPgg„p \^ŽK d^W,d^[Zh gXaWn] p d^[a]^\ p XZc K Og c K duc \^Ž2ciNPW XeWz^\_[Z^N `b[ad^ggXa`bd^[ `Œ\_OSb k,XaWYduci\ K Xed^[*pgic fY`Œcf NPgL[aXa[^NEgic XaWn]_gb”jc NbNPgb”] p dut gP”jd^W,p w>tN OSfYcducXZp \_WYK gb‘ NPgXap wnNc NLc d^wYpXZcXa\_WYKd^[nci\^t,Xa`bg\^Ž`Œ\_OSk,XaW,duK ci\ Xa`bg\^1Ž ]"p \ wYgd^W,wd^[Z]^\ XZc OXa`bg—\_W]"\ p wYgP”z\ˆ^N p c K pNLh^NPd p g d^W c XaW,` NPd^gXaWn]XaWmciN NPgic d^gkNbNPW>]_XZ^NPW p XeW c Np giNPOXeWYd ci\p k,XZ\_[a\^]_Xap `bd^[*dutYt,[aXe`bducXZ\_WYg"p \^Ž—`Œ\_Ok,XeWYduci\ Xa`bp gb‘ p \_[ZNhjXeOW kc \_K [aNPXegi` N4`Œd \_p ONPd^t,gPfY)‘ cduT cc8XZ\_t W*p \ˆ”6jd^XawnWYNPw g8Xad W `Œt,\_d [a[ZNPc`ŒXac`bXZf,\_[aW d \^Ž'`Œ\_ciO\ \_t,[afng8cic N K ducSd^[Zd^]^[aNb[Zk G\ ]djg8”\_tWn[adPNhjcig \ d^duW cicd^XaWYB` `[ NP`Œd^\_gOXaWnt,]_[a[ZN h XaOO\jtvwn\ NP[acg6d^Wz\^cŽ `ŒK\_OSk,XaWYduci\ p Xep `bgŸd^WYw c K N?d^WYd^[Zhjp gXag\^Ž p d^[Z]^\ p XZc K O4gjXadedgf7h?fDikjOlnmohZd-p%qYh!rGlnmns9hut9vYp duc"c K N?pgd^ON?p cXaOK N^”jXZcŸXaW,git,X p NPg c N8l fnK NPgip c'ŽA\ p wnNb^NP[a\^t,XaWn]%Nb^N Op \ N8gihjgiciNPOducXe`?g\_[afncXZ\_WYg"d^WYw wnNP`bXagXZ\_W„t \j`ŒNPwYf NPgŸŽA\ c N?d^WYd^[ah gXegŸ\^Ž ]"NPJL[a[ “–K ` xN d Wj€’d^`Œd ciNp cXeaX `bwb[ZNPNPw’g4`bXa[aW,d^`bg[agifYNPwngNP\^w´ŽtXaW \^c k,K [ZXaNPgOkgb\‘ O\ [ p Nbt p NPgiNPWmc gWYdut,g K \^cg4\^ŽE`bf pp NPWmc p NPgiNPd p ` K XaW c K NPgiN’d p NPd^gb‘ r ciNPWzcducXZ^N%\ p ]_d^WY\X wPducXZ\_W>\^Žc K NPX p `Œ\_WmciNPWzcg?Xag]_Xa^NPW>kNP[ZG\ ]E‘ y ‚ {z}|9~€^ ‚|Dƒ ‚ z „| ^† TWYduc

(20) fWp d^d^wY[a[ZwYhEXZcXaW%XZ\_cWK ciN'\St XZp c\jg—`ŒG\ NP]gg;W\^c Žp d^d^W,wYd^XZc[ZXah \_gWYXaWng ]6p \ d^\^[Z]^ciNP\ w4p XZcXaWK O4Og ducc KK duNPc;O\^duŽ2cciXaNP`bWgb”mXaWmc K ^NL\_[Zgi^cNLfY`bwn[ah%d^g\^g‡Ž Xa`brBd^s9[jˆ)`Œ\_‰7moOh!k,jOXelŠWYsOi%dum‹cij9\ Œ1p Xaˆ^d^[jsL#gic f7p ŒSf,t?`Œd cp f XapgiNPNPgg [aaX p [^Ntp N p O%fncducXZ\_K W,gb”_gic p XaWY]_gbJL”^K c p NbNPgb” p d^WYwn\_ŽO ]'d^a[ [jgb”zd^WYp w] p dup t KK gb‡‘ ’duK t,gK d p Ndp gitNP`bXad^[jp`b[ad^gp g—\^Ž] p dut K gc K duc d N%w p Ld ]W XaW>c NSt,[ad^WnN^‘ p XegLp XaKgLd^p W’d^p `ŒcXZp ^eN ,KNP[aw>\^Ž NPgiNPd ` cip )\ ] Xe` \_K f giNPOp XaW,d p d^[ NPd^wnh>wnNPw,Xa`bduciNPw giNb^N d^[*gNPgJLgXZK \_WYg'[ad^gc"h^NPd ‘’‘Yf c N p t \^] NPgg p d^g'kNbNPKW Od^K wnN p NP`ŒNPWmc[Zh?vnc p Xag'XaK g Nbt\ ciNPp w XaW”“–•F—

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(31) NP`Œcf p N p NP[aduciNPK g—ci\=’d^`bwn\_WYd^[ewYg—t\_[ZK hjWn\_OXad^[ag d^WYw d^gLkNbNPW>t \/^NPw \_WY[ah NP`ŒNPWmc[Zh^‘"r ^NP`Œci\ gitd^`ŒNEc ducXaW,`b[afYwnNPgd^[a[c Ngit,d^`ŒNPgdukv\/^NSXagLc NE\^kjqiNP`Œc \^Ž—gicfYwnh„XaW “–•u— ‘ “–“™˜Y•F—— Ÿc \_WmOf,ON N c p K dud cpXZ\_t W> \^\_Ž WYo `ŒNP[ed^WmWYc pd dupcsXZ\_\ W \^sciNPNPw gfYJ [ZpcXagLd^duWYk]_\_fYfn[aduc cXZs \_d^WYWYgP‘wn\_Oo d^WYd p  J p Xad^Wn]_f,[aducXZ\_WYgb!‘ "  “K“Suš›—— o [a\_d^d^WY[ZNPd gp `Œ’NPWYdu`Œt,N 0gLd^W,Ow N p ]^\_NPOW,`ŒtNE\_\^gXZŽcXac \_K W =N c ` Kdu2tNPO1mrNPgPX p #‘ h $Ld "]E%'4‘ &)(35*,2+-6*,./8 7:9*,.<;=*,.> “™“K¡›ŸY——JŸfnWmcif,ciON N o p \_du[ZchjXZ\_WnW>\_O\^ŽXed^T?[agNb\_XaW Oc Nblc p fYXa`d p NS\_T Wup YXa]_wYfgbE‘p duc?FXZ\_2W,A$gŸ\_GDW’ d \_Wm^N o \_[ahm]^\_W*‘!?@BAC,D “\“›¤Z—— sc \_d^[ZWY wnXeWn\_K] O ?XT egp ` \_p fnNbtciÓN r?T

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(33) `ŒW4\_Oc K tXefngcigiN t,p X p d^XZcb[Z]^”zNb`bk[ZNbp ^d N p gihjd^gi[Zci]^NP\ O>p XZc”ŸK XZOcXaXa`Lg\^` tYp fYcXa`bOXad^aX ["wPducic\ Xa\_\^WYtYgcXa\^O4Ž*NaX wb nN XagiccKXeWnN ]d d^p [ZXZ]^c \K p OXac NbK cOXa`bg"d^["d p\^N?tNw,p Xadug`bcfYXZ\_gW,gNPgw\_XaW xW k,“–•!d^•FgXa—

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(35) ‘8p r WnND] d^[Z]^\ XZK c O ci\>gi\_[Zp ^Nd `ŒN cd^p XaW’`b[ad^gg\^Ž[eXaWnNPd K wYoX vN NPW,`ŒN8NPlmfYp ducXap \_WYgXagt NPgiNPWmciNPw pXeW “ •YŸY—

(36) ‘rgdc d^W,gXZcXZ\_W>cip \4K c NSWnN jcLp t,d cb”d ]^NPWnN d^[ gihjOk\_[aXe`;ONbc \ wY\_[Z\^]^h8ci\tN Ž2\ O d^fnci\_O4ducXa`Ÿdˆ^N du]^NŒ“–`bd^giNLd^WYd^[ah gXeg*\^ŽYd^[Z]^\ XZc Og Xag•t NPgiNPWmciNPw XaW “–•Z¡u—

(37) ‘ ““ •!•Y˜Y•F—— ps m4NP[ad`b XZNPWmb cfnr?Yc [Z?\]^\ _p W XZc c K O4b N g'J\_W \m\ ~ f,9d Owbkh^t‘N p gb”  o TG\_8[Z7uhjWn9\_*,O.XavCd^[egb*R”nT/d^*GWY7-w  c N p XaNPgbN‘ O":;rqlqe*,.<qs87B7- ““ •g•Zuš›——JŸXZK ]^p NPNPW g pK Xe\_Wn[e]w d^o WYK w NPWns \_NPOw,fYNPW,`bXZdk,XaXa[eW XZc–hs d^\^W,Ž{wn6X\_O N p NPduWYci`ŒcNaXa`ŒNPg?l d^fYWYducw XZ\_s W,NPgbwY‘EfY`Œ|cXZ2\_6YW Rr?q~[Z]^}2\,Dp Xa c K OgbN‘ wxBwyS (zT>; ““ •Y•g¡›ŸY——r'6Xcic p N XZp k,NPfnWYci`ŒN%cN T p l d^fYOducOXZ\_d WYp gg]d^WYXZcw>K r\fYh cit\_ON p ]^ducNbXa\_` O Nb\_c p OXe` t,[Z N \m nnNXZc–m h„`brXZNPW,Wzd^c[ZgPh ‘ gXagb?@N‘ ?@6.€"R?h7BV ;rQV<*G(B;r77-  y ‚ {z | | |9~ ‚ ƒ e‚ d ix†1| † l ‚‚ df  „|Lzk  † ‚ ƒhgƒg ‚ z ‚ †Àz K`x z` ebe† \_WmcXaW fnNPwŽ p d^`ŒcXZ\_WYg K dˆ^N?Od^wYN?giNb^N p d^[vdut,tvNPd p d^WY`ŒNPgŸXeWc K Xagh^NPd p g'giNPggXa\_W4\^Ž*c K N6giNPOXeWYd p ‘  jt,d^Wj“ gXZ\_W>K XeWzci\p `Œ\_K WmcXaWmfYNPw>Ž p d^`ŒcXZ\_W>Xag`b[Z\_giNP[aK h p NP[aduciNPw p ci\K c K aN fY`b[eXawnNPd^W d^[Zp]^\ p XZK c K O vjpŽAp \_[a[aG\ ]XaWY]St p Nb XZ\_f,g ]"\ p [jg \_W c JLNSK d XZc Op NbcXa`bd^[ `Œ\_Ot[ZN jXac–h \^Žc NPgiNSd^[a]^\ pXZc OgP̔ “–•›¤Z—Ÿ`Œ\_WYKgXawnp N gc N`Œp8\ p NPgip t\_WYwYXaWn]kXZcL`Œ\_Ot,[ZN “ XZc¦h^‘ NwYXagc XZk,fncXaK \_W p \^ŽwYp XZ]_XZcg6XaW `Œ\_p WmcK XaW fnNPw Ž d^`ŒcXZ\_WYgd^WYK w \^c N W fYOSkN p Nbt NPgiNPWmcducXZ\_W ghJLgiK ciNPO4gEXag gicfYw,XZNPw XaW'“–•u—

(38) ”Ì] N N4gi\ cXaWn] d^[Z]^\ Xac OgEkd^giNPw \_W¼gfY` N td^WYgXZ\_WYg8d N d^[agi\’d^WYd^[ZhjgiNPw*‘ N4WnN jc. å­.

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Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur

A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated

The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide

Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to