{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 "" {TEXT -1 33 "Wie man grlex fuer x>y>z b ekommt:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "with(Ore_algebra): with(Groe bner):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "A:=poly_algebra(x ,y,z);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG%,Ore_algebraG" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "M:=[[1,1,1],[1,0,0],[0,1,0]] ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"MG7%7%\"\"\"F'F'7%F'\"\"!F)7% F)F'F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "grlex:=termorder( A,'matrix'(M,[x,y,z]));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&grlexG%+ term_orderG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 110 "L:=[1, x, y , z, x^2, x*y, y^2, z*x, z*y, z^2, x^3, x^2*y, x*y^2, y^3, z*x^2, z*x* y, z*y^2, z^2*x, z^2*y, z^3];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"L G76\"\"\"%\"xG%\"yG%\"zG*$)F'\"\"#F&*&F'F&F(F&*$)F(F,F&*&F)F&F'F&*&F)F &F(F&*$)F)F,F&*$)F'\"\"$F&*&F+F&F(F&*&F'F&F/F&*$)F(F6F&*&F)F&F+F&*(F)F &F'F&F(F&*&F)F&F/F&*&F3F&F'F&*&F3F&F(F&*$)F)F6F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "sort(L,(t1,t2)->testorder(t2,t1,grlex));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#76*$)%\"xG\"\"$\"\"\"*&)F&\"\"#F(%\"yG F(*&%\"zGF(F*F(*&F&F()F,F+F(*(F.F(F&F(F,F(*&)F.F+F(F&F(*$)F,F'F(*&F.F( F0F(*&F3F(F,F(*$)F.F'F(*$F*F(*&F&F(F,F(*&F.F(F&F(*$F0F(*&F.F(F,F(*$F3F (F&F,F.F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 227 "Diese Hinweise basi eren auf der Online-Hilfe von Maple sowie dem neuen Paragraph 2 von Ap pendix C von \"Ideals, Varieties, and Algorithms\", der so noch nicht \+ im Druck erschienen, aber von der Homepage des Buches zu bekommen ist. " }{MPLTEXT 1 0 0 "" }}}}{MARK "8 0 0" 3 }{VIEWOPTS 1 0 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }