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{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "?numtheory" }}}{EXCHG {PARA 0 "" 0
"" {TEXT -1 124 "C'est le premier exemple de package. Le help est omis
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:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "nextprime(10^20);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#\"6R+++++++++\"" }}}{EXCHG {PARA 0 ""
0 "" {TEXT -1 63 "alors que d'autres ont besoin d'une forme d'appel pl
us longue :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "numtheory[cy
clotomic](7,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,0*$)%\"xG\"\"'\"\"
\"\"\"\"*$)F&\"\"&F(F)*$)F&\"\"%F(F)*$)F&\"\"$F(F)*$)F&\"\"#F(F)F&F)F)
F)" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 4 "ou :" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 27 "with(numtheory,cyclotomic):" }}}{EXCHG {PARA
0 "> " 0 "" {MPLTEXT 1 0 16 "cyclotomic(8,x);" }}{PARA 11 "" 1 ""
{XPPMATH 20 "6#,&*$)%\"xG\"\"%\"\"\"\"\"\"F)F)" }}}}{SECT 0 {PARA 3 "
" 0 "" {TEXT -1 14 "Algbre linaire" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1
23 "La syntaxe des matrices" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0
36 "A:=array([[1,x,y],[x,y,z],[y,z,1]]);" }}{PARA 11 "" 1 "" {XPPMATH
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{EXCHG {PARA 0 "" 0 "" {TEXT -1 63 "Le package linalg contient les fon
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "B:=subs(x=2,y=3,z=4,eval(A))
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{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"PG" }}}{EXCHG {PARA 0 "> " 0 ""
{MPLTEXT 1 0 8 "eval(P);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#-%'matrixG
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" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "Le produit de matrices" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "linalg[multiply](A,B);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7%7%,(\"\"\"F)%\"xG\"\"#%
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{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "ou" }}}{EXCHG {PARA 0 "> " 0 ""
{MPLTEXT 1 0 14 "evalm(A &* B);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'
matrixG6#7%7%,(\"\"\"F)%\"xG\"\"#%\"yG\"\"$,(F+F)F*F-F,\"\"%,(F-F)F*F/
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{MPLTEXT 1 0 12 "degree(p,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"&
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "coeff(p,x,2);" }}{PARA
11 "" 1 "" {XPPMATH 20 "6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT
1 0 17 "expand((x+1)^20);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,L*$)%\"x
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ctor(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$),&%\"xG\"\"\"F'F'\"#?\"
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" 1 "" {XPPMATH 20 "6#,.*$)%\"xG\"\"&\"\"\"!#&)*$)F&\"\"%F(!#b*$)F&\"
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{MPLTEXT 1 0 10 "factor(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,.*$)%
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6 "prouve" }{TEXT -1 17 " l'irrductibilit." }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 25 "f:=(1+x*(1+y))^2/(1-y^2);" }}{PARA 11 "" 1 ""
{XPPMATH 20 "6#>%\"fG*&*$),&\"\"\"F)*&%\"xGF),&F)F)%\"yGF)F)F)\"\"#\"
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1 0 13 "collect(f,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&*&),&\"\"
\"F(%\"yGF(\"\"#\"\"\")%\"xGF*F+F+,&F(F(*$)F)F*F+!\"\"!\"\"F(*&*&,&F*F
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{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "" 0 ""
{TEXT -1 35 "et la version Bezout (plus lente) :" }}}{EXCHG {PARA 0 ">
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{XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "on a don
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{XPPMATH 20 "6#,&!\"\"\"\"\"%\"xGF%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT
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0 "" {MPLTEXT 1 0 21 "f:=7/((x+1)^7-x^7-1);" }}{PARA 11 "" 1 ""
{XPPMATH 20 "6#>%\"fG,$*&\"\"\"F',(*$),&%\"xG\"\"\"F-F-\"\"(F'F-*$)F,F
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\"$K%F0\"\"\"*&F%F.,*F6#\"$l&\"';W7F)#\"\"&\"$k)*&F*F.)F/F-F.#\"$f)\"(
w*yW*$)F/\"\"%F.#\"%@P\"*[3*\\@F0\"\"#-%\"OG6#F0\"\"$" }}}{EXCHG
{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "series(arccos(1-x),x);" }}{PARA 12
"" 1 "" {XPPMATH 20 "6#,0*&-%%sqrtG6#\"\"#\"\"\"-F&6#%\"xGF)\"\"\"*&F%
F))F,#\"\"$F(F)#F-\"#7*&F%F))F,#\"\"&F(F)#F1\"$g\"*&F%F))F,#\"\"(F(F)#
F7\"$'*)*&F%F))F,#\"\"*F(F)#\"#N\"&K%=*&F%F))F,#\"#6F(F)#\"#j\"&7,*-%
\"OG6#*$)F,\"\"'F)F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "asy
mpt(n!,n);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#*&,0*&*&-%%sqrtG6#\"\"#
\"\"\"-F(6#%#PiGF+F+*$-F(6#*&F+F+%\"nG!\"\"F+F4\"\"\"*(F'F+F,F+-F(6#F2
F+#F5\"#7*(F'F+F,F+)F2#\"\"$F*F+#F5\"$)G*(F'F+F,F+)F2#\"\"&F*F+#!$R\"
\"&S=&*(F'F+F,F+)F2#\"\"(F*F+#!$r&\"(?$)[#*(F'F+F,F+)F2#\"\"*F*F+#\"'z
Q;\"*!))=!4#-%\"OG6#*$)F2#\"#6F*F+F5F+*&)F2F3\"\"\"-%$expG6#F3\"\"\"F4
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 ""
0 "" {TEXT -1 122 "Une session reelle est un melange de tout ca, avec \+
experimentations, calculs de valeurs numeriques, petites procedures,..
." }}}}}{MARK "6 11 0 0" 0 }{VIEWOPTS 1 1 0 2 1 1805 }