{VERSION 5 0 "IBM INTEL LINUX" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {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 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 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "with(Groebner):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 22 "f[1] := x^4 - y*z^2*w;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"fG6#\"\"\",&*$)%\"xG\"\"%F'F'*(%\"yGF')%\"zG\"\"#F '%\"wGF'!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "f[2] := x* y^2 - z^3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"fG6#\"\"#,&*&%\"xG \"\"\")%\"yGF'F+F+*$)%\"zG\"\"$F+!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "f[3] := x^3*z - y^3*w;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"fG6#\"\"$,&*&)%\"xGF'\"\"\"%\"zGF,F,*&)%\"yGF'F,%\"wGF,!\" \"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "F := convert(f,list); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FG7%,&*$)%\"xG\"\"%\"\"\"F+*(% \"yGF+)%\"zG\"\"#F+%\"wGF+!\"\",&*&F)F+)F-F0F+F+*$)F/\"\"$F+F2,&*&)F)F 8F+F/F+F+*&)F-F8F+F1F+F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "G := gbasis(F,tdeg(x,y,z,w));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\" GG7(,&*&%\"xG\"\"\")%\"yG\"\"#F)F)*$)%\"zG\"\"$F)!\"\",&*&)F(F0F)F/F)F )*&)F+F0F)%\"wGF)F1,&*$)F(\"\"%F)F)*(F+F))F/F,F)F7F)F1,&*&)F+\"\"&F)F7 F)F1*&)F(F,F))F/F;F)F),&*&F(F))F/\"\"(F)F)*&)F+FHF)F7F)F1,&*$)F/\"#5F) F)*&)F+\"\"*F)F7F)F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "H : = gbasis(F,plex(x,y,z,w));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG7( ,&*$)%\"zG\"#5\"\"\"!\"\"*&)%\"yG\"\"*F+%\"wGF+F+,&*&%\"xGF+)F)\"\"(F+ F+*&)F/F6F+F1F+F,,&*&F4F+)F/\"\"#F+F+*$)F)\"\"$F+F,,&*&)F/\"\"&F+F1F+F ,*&)F4F " 0 "" {MPLTEXT 1 0 34 "leadmon (z^10-y^9*w,tdeg(x,y,z,w));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"* $)%\"zG\"#5F#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "leadmon(z^ 10-y^9*w,plex(x,y,z,w));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$!\"\"*&)% \"yG\"\"*\"\"\"%\"wGF(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 111 "Die Be hauptung stimmt also garnicht, da die reduzierten Groebnerbasen sich u m konstante Faktoren unterscheiden;" }}{PARA 0 "" 0 "" {TEXT -1 47 "es muessen verschiedene Terme normiert werden !" }}}}{MARK "11" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }