ApCoCoA-1:DA.DiffGB
From ApCoCoAWiki
Revision as of 08:46, 22 December 2008 by S schuster (talk | contribs)
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]]
-------------------------------
