Difference between revisions of "ApCoCoA-1:DA.DiffGB"
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S schuster (talk | contribs) (New page: <command> <title>diffalg.DiffGB</title> <short_description>Compute a differential Groebner basis.</short_description> <syntax> $diffalg.DiffGB(I:IDEAL):LIST </syntax> <description>...) |
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| − | <short_description> | + | <short_description>calculate a differential Groebner basis</short_description> |
<syntax> | <syntax> | ||
$diffalg.DiffGB(I:IDEAL):LIST | $diffalg.DiffGB(I:IDEAL):LIST | ||
Revision as of 08:46, 22 December 2008
diffalg.DiffGB
calculate a differential Groebner basis
Syntax
$diffalg.DiffGB(I:IDEAL):LIST
Description
Returns a differential Groebner basis of the ideal I which is differentially generated by G wrt. the current differential term ordering. This function only terminates if the ideal I is zero dimensional and has a finite differential Groebner basis.
Example
Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord($diffalg.DiffTO("Lex"));
$diffalg.DiffGB([x[1,1]^4+x[1,0]]);
-------------------------------
[x[1,3] - 8x[1,1]x[1,2]^3, x[1,1]^2x[1,2]^2 + 1/4x[1,2], x[1,0]x[1,2] - 1/4x[1,1]^2, x[1,1]^4 + x[1,0]]
-------------------------------
