{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 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "with(Groebner):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "f := x - z^4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,&%\"xG\"\"\"*$)%\"zG\"\"%F'!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "g := y - z^5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"gG,&%\"yG\"\"\"*$)%\"zG\"\"&F'!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "L := [f,g];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"LG 7$,&%\"xG\"\"\"*$)%\"zG\"\"%F(!\"\",&%\"yGF(*$)F+\"\"&F(F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "s := spoly(f,g,plex(x,y,z));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG&-&%+term_orderG6#%'S-polyG6&7', &%\"xG\"\"\"*$)%\"zG\"\"%F/!\"\"F/F/F.\"\"!7',&%\"yGF/*$)F2\"\"&F/F4F/ F/F8F5*&F8F/F.F/F(6#F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "s; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&%\"yG\"\"\")%\"zG\"\"%F&!\"\"* &%\"xGF&)F(\"\"&F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "r : = reduce(s,L,plex(x,y,z));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG\" \"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "L;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#7$,&%\"xG\"\"\"*$)%\"zG\"\"%F&!\"\",&%\"yGF&*$)F)\"\" &F&F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "gbasis([f,g],plex( x,y,z));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$,&%\"yG\"\"\"*$)%\"zG\" \"&F&!\"\",&%\"xGF&*$)F)\"\"%F&F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "10 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }