{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 14 "f := x^2*y-1 ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,&*&)%\"xG\"\"#\"\"\"%\"yGF*F*F*!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "g := x*y^2 -1 ;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"gG,&*&%\"xG\"\"\")%\"yG\"\"#F(F(F(!\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "L := [f,g];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"LG7$,&*&)%\"xG\"\"#\"\"\"%\"yGF+F+F+!\"\",&*&F )F+)F,F*F+F+F+F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "s := sp oly(f,g,plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG&-&%+term _orderG6#%'S-polyG6&7',&*&)%\"xG\"\"#\"\"\"%\"yGF2F2F2!\"\"\"\"$F2F.\" \"!7',&*&F0F2)F3F1F2F2F2F4F5F2F9F6*&F:F2F/F2F(6#F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "s;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"y G!\"\"%\"xG\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "r := r educe(s,L,plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG,&%\"yG !\"\"%\"xG\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "L := [o p(L),r];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"LG7%,&*&)%\"xG\"\"#\" \"\"%\"yGF+F+F+!\"\",&*&F)F+)F,F*F+F+F+F-,&F,F-F)F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "s := spoly(f,L[3],plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG&-&%+term_orderG6#%'S-polyG6&7',&*&)% \"xG\"\"#\"\"\"%\"yGF2F2F2!\"\"\"\"$F2F.\"\"!7',&F3F4F0F2F2F2F0F6F.F(6 #F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "s;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#,&*&%\"xG\"\"\")%\"yG\"\"#F&F&F&!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "r := reduce(s,L,plex(x,y));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "s := spoly(g,L[3],plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG&-&%+term_orderG6#%'S-polyG6&7',&*&%\"xG\"\"\")% \"yG\"\"#F0F0F0!\"\"\"\"$F0F.\"\"!7',&F2F4F/F0F0F0F/F6F.F(6#F0" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "s;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&!\"\"\"\"\"*$)%\"yG\"\"$F%F%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "r := reduce(s,L,plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG,&!\"\"\"\"\"*$)%\"yG\"\"$F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "L := [op(L),r];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"LG7&,&*&)%\"xG\"\"#\"\"\"%\"yGF+F+F+!\"\",&*&F)F+)F ,F*F+F+F+F-,&F,F-F)F+,&F-F+*$)F,\"\"$F+F+" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 29 "s := spoly(f,L[4],plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG&-&%+term_orderG6#%'S-polyG6&7',&*&)%\"xG\"\"#\" \"\"%\"yGF2F2F2!\"\"\"\"$F2F.\"\"!7',&F4F2*$)F3F5F2F2F5F2F9F6*&F:F2F/F 2F(6#F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "s;" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#,&*$)%\"yG\"\"#\"\"\"!\"\"*$)%\"xGF'F(F(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "r := reduce(s,L,plex(x,y)); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG\"\"!" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 29 "s := spoly(g,L[4],plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG&-&%+term_orderG6#%'S-polyG6&7',&*&%\"xG\"\" \")%\"yG\"\"#F0F0F0!\"\"\"\"$F0F.\"\"!7',&F4F0*$)F2F5F0F0F5F0F9F6*&F:F 0F/F0F(6#F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "s;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"yG!\"\"%\"xG\"\"\"" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 27 "r := reduce(s,L,plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "s := spoly(L[3],L[4],plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG&-&%+term_orderG6#%'S-polyG6&7',&%\"yG!\"\"%\"xG\"\"\"F1F1 F0\"\"!7',&F/F1*$)F.\"\"$F1F1F7F1F5F2*&F6F1F0F1F(6#F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "s;" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#,&*$)%\"yG\"\"%\"\"\"!\"\"%\"xGF(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "r := reduce(s,L,plex(x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "L;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7&,&*&)%\"xG\"\"#\"\"\"%\"yGF )F)F)!\"\",&*&F'F))F*F(F)F)F)F+,&F*F+F'F),&F+F)*$)F*\"\"$F)F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "gbasis([f,g],plex(x,y));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#7$,&!\"\"\"\"\"*$)%\"yG\"\"$F&F&,&F)F% %\"xGF&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "27 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }