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troisi\350me degr\351 index\351 e par a (que l'on fait augmenter en utilisant floor(sqrt(x))).On conna \356t les racines, on peut donc commencer avec la fonction poly." }} {EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "poly:=(a,x)->(x-a^2)*(x-(a+1/2 )^2)*(x-(a+1)^2);" "6#>%%polyGR6$%\"aG%\"xG7\"6$%)operatorG%&arrowG6\" *(,&F(\"\"\"*$F'\"\"#!\"\"F0,&F(F0*$,&F'F0*&F0F0F2F3F0F2F3F0,&F(F0*$,& F'F0F0F0F2F3F0F-F-F-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%polyGR6$%\" aG%\"xG6\"6$%)operatorG%&arrowGF)*(,&9%\"\"\"*$)9$\"\"#F0!\"\"F0,&F/F0 *$),&F3F0#F0F4F0F4F0F5F0,&F/F0*$),&F3F0F0F0F4F0F5F0F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "plot(poly(floor(sqrt(x)),x),x=1..100) ;" "6#-%%plotG6$-%%polyG6$-%&floorG6#-%%sqrtG6#%\"xGF//F/;\"\"\"\"$+\" " }}{PARA 13 "" 1 "" {GLPLOT2D 284 284 284 {PLOTDATA 2 "6%-%'CURVESG6$ 7_w7$$\"\"\"\"\"!$F*F*7$$\"35+D\"GyR(p7!#<$\"39T*HaTA#>s!#=7$$\"3**** \\il&z%R:F/$\"3L0>-k#4=F/$\"3'yPNcwcU\"yF27$$\" 3)****\\78f*y?F/$\"3gC)H,91_a$F27$$\"3v**\\(opQ%=EF/$!39R/!G6(=Q#)F27$ 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On peu t alors d\351finir la fonction approx, l' additionner \340 ce que l'on avait d\351j\340 et obtenir la fonction super. 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Si q uelqu'un a une id\351e, qu'il m'en fasse part.Je me suis lass\351 de c hercher, d'autant qu'il existe un autre moyen de faire diminuer l'erre ur, c'est ce que nous allons voir dans la suite." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {XPPEDIT 19 1 "plot(droite1(floor(sq rt(x)),x),x=4..9,y=-5*10^6..0);" "6#-%%plotG6%-%(droite1G6$-%&floorG6# -%%sqrtG6#%\"xGF//F/;\"\"%\"\"*/%\"yG;,$*&\"\"&\"\"\"*$\"#5\"\"'F:!\" \"\"\"!" }}{PARA 13 "" 1 "" {GLPLOT2D 364 364 364 {PLOTDATA 2 "6%-%'CU RVESG6$7iq7$$\"\"%\"\"!%%FAILG7$$\"3'******f!eS.S!#<$!3ElhXP(49X$!#57$ $\"3$)*****4h6o+%F/$!3B`YUh_?HABO,%F/$!3)f-%)44F6o)!#67$$\"3U+++F!Hq,%F/$!3k6ry)y\")*epFB7 $$\"3P+++L[V?SF/$!3\\;_O\\m!4\"eFB7$$\"3D+++Q1%Q-%F/$!37;^SiA(3*\\FB7$ $\"37+++VkCFSF/$!3!pso\"eL[6FB7$$\"3M+++S(*RcTF/$!3&)pJJ&oj)H#)! #77$$\"37+++2P\"Q?%F/$!35z(pw50[\\'Fhq7$$\"3q*****RnNrD%F/$!3S3NlHAc7` Fhq7$$\"34+++SwX5VF/$!3)z\"[SqLeSXFhq7$$\"3=+++eI8kVF/$!39d:E()z`&*RFh q7$$\"3M+++x%3yT%F/$!3Ke%\\Q*[*Qf$Fhq7$$\"3,+++&4\\Y_%F/$!3;$[`CNzt/$F hq7$$\"3D+++CSqBYF/$!3#[xx1nEor#Fhq7$$\"3J+++m'pis%F/$!3#fyHQ7tyZ#Fhq7 $$\"3J+++*>VB$[F/$!38*o(f1#G5I#Fhq7$$\"39+++`l2Q\\F/$!3#e1MBfHE<#Fhq7$ $\"3C+++0j$o/&F/$!39Gb6)z#yv?Fhq7$$\"3M+++_>jU^F/$!39u#Ru;^D,#Fhq7$$\" 3%******H;v/D&F/$!3g\"G<`x90'>Fhq7$$\"3!******z=h(e`F/$!35BXa'zJY#>Fhq 7$$\"35+++Q[6jaF/$!3yEi]UT#G!>Fhq7$$\"3))******[z(yb&F/$!3QSJ]N#*H#*=F hq7$$\"3Q+++b/cqcF/$!3=ske4L()*)=Fhq7$$\"3?+++Fhq7$$\"3=+++#pW`(fF/$!3ou(e*H`sI>Fhq7$$ \"3#******4f#=$3'F/$!3c\\,P.uNg>Fhq7$$\"3G+++t(pe='F/$!3[)p>Y:`d*>Fhq7 $$\"35+++uI,$H'F/$!3ICtgtkFS?Fhq7$$\"3=+++rSS\"R'F/$!3Yv4-PpB)3#Fhq7$$ \"3e*****H0Kv\\'F/$!3!QhT/Qxz9#Fhq7$$\"3!********>pxg'F/$!3e$=-m$QZ>AF hq7$$\"3o******f4t.nF/$!3u_sEIhB!H#Fhq7$$\"3*********Gst!oF/$!3OPQ()ye [wBFhq7$$\"3p*****f#RW9pF/$!3UQ-')oIaxCFhq7$$\"3@+++KE>>qF/$!3!>fBHMC( *e#Fhq7$$\"3%******>RU07(F/$!3s&*HQTei7FFhq7$$\"36+++?S2LsF/$!3W/H,H3L oGFhq7$$\"3w*****Hp)=MtF/$!3a\">sE>T&GIFhq7$$\"3O+++*=]@W(F/$!3ca[k7n& \\A$Fhq7$$\"3I+++]$z*RvF/$!3$GWOC>>,V$Fhq7$$\"3#)*****RYKpk(F/$!3mz^g, /i!p$Fhq7$$\"3))*****z+nvu(F/$!3C!y\\wO0&yRFhq7$$\"3W+++/\"fF&yF/$!3Qo )HP0gcL%Fhq7$$\"3I+++0OgbzF/$!3]h[u%)flcZFhq7$$\"3K+++nAFj!)F/$!3A\"e? hb@*)H&Fhq7$$\"3q*****\\)*pp;)F/$!3'\\g'>ZP?cfFhq7$$\"3s+++ye,t#)F/$!3 $oQ7Hz0]#oFhq7$$\"3S******eO=y$)F/$!3!)G5A18B#)zFhq7$$\"3i+++E>#[Z)F/$ !3ui-J$z\"4d%*Fhq7$$\"3'3++qG!e&e)F/$!3w5;Zf=u*>\"FB7$$\"3Z*****f37^j) F/$!3))RWFe@Sj8FB7$$\"3%)*****\\)Qk%o)F/$!3)*3Jzbmdy:FB7$$\"3]*****z\\ \\5r)F/$!3BRCa8%yMs\"FB7$$\"3L*****H6but)F/$!3y!pL43hv*=FB7$$\"3'3++qs gQw)F/$!3sY'ybI816#FB7$$\"3o+++UjE!z)F/$!3!fDz6Q`tP#FB7$$\"3u*****\\)) Rb\"))F/$!3vd*o^(yA/FFB7$$\"3]+++FM\"3%))F/$!3,>8$H2W\\8$FB7$$\"3=**** **)>]M&))F/$!3@C&zReJgS$FB7$$\"3c******pp3m))F/$!3cq^q\"p&HGPFB7$$\"3s *****\\N0C())F/$!340&o**fqL\"RFB7$$\"3%******4uB(y))F/$!3AeGSXQtcp' fD&FB7$$\"3W*****>VN$3*)F/$!3-JA\\Kp)4X&FB7$$\"3F*****fTI<\"*)F/$!3;cv UP*45m&FB7$$\"3(3+++SD^\"*)F/$!3w$3R>KOy)eFB7$$\"3p+++%Q?&=*)F/$!3PaA( y^mN8'FB7$$\"3^+++o`\">#*)F/$!3oR#>'>im+kFB7$$\"3L+++_.JD*)F/$!3k3Pby% \\?p'FB7$$\"3;+++O`qG*)F/$!3%HbU'=`=6qFB7$$\"3)*******>.5K*)F/$!31n'ye oOAO(FB7$$\"3!)*****RI&\\N*)F/$!35rh3@GC]xFB7$$\"3j*****zG!*)Q*)F/$!3y 4he%)GO\"=)FB7$$\"3X*****>F&GU*)F/$!3)f'Hq$>0Km)FB7$$\"3G*****fD!oX*)F /$!3oI[-p,G0#*FB7$$\"3)3+++Cv!\\*)F/$!3tnjeFVj>)*FB7$$\"3q+++C-Z_*)F/$ !3'46,tgv@0\"F27$$\"3_+++3_'e&*)F/$!3D+B7Y**=L6F27$$\"3M+++#>g#f*)F/$! 3-%)G0%)pqF7F27$$\"3=+++w^li*)F/$!3_;JD#H4%R8F27$$\"3++++g,0m*)F/$!3!p d.JU_MZ\"F27$$\"3#)*****R9X%p*)F/$!3s$o11L$GP;F27$$\"3k*****z7SG(*)F/$ !3m\"p&pdC2U=F27$$\"3Y*****>6Ni(*)F/$!3kWSl)Gt`5#F27$$\"3G*****f4I'z*) F/$!3UE9@<