{VERSION 3 0 "DEC ALPHA UNIX" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "j:=RootOf(x^2+x+1,x) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"jG-%'RootOfG6#,(*$%#_ZG\"\"# \"\"\"F*F,F,F," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 126 "On note que la variable employe'e x est tout de suite remplace'e par la variable _Z. Ceci permet une unicite' de l'e'criture." }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 48 "eq:=(z+1)*(z+j)*(z+j^2)=(1+z)*(1+j*z)*(1+j^2*z);" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#eqG/*(,&%\"zG\"\"\"F)F)F),&F(F)-%' RootOfG6#,(*$%#_ZG\"\"#F)F0F)F)F)F)F),&F(F)*$F+F1F)F)*(F'F),&F)F)*&F+F )F(F)F)F),&F)F)*&F+F1F(F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "map(evala,eq);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,&*$%\"zG\"\" $\"\"\"F(F(F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalb(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%trueG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 199 "Les nombres du corps Q(j) s'écrivent d'une fac,on unique sous la forme a+b*j avec a et b rationnels; ceci fournit un e' criture unique pour les polyno^mes de Q(j)[z] que l'on obtient par eva la." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }