Difference between revisions of "ApCoCoA-1:DA.DiffGB"
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Revision as of 14:06, 22 April 2009
DA.DiffGB
Calculates a differential Groebner basis.
Syntax
DA.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.
@param I A differential ideal.
@return If terminating, a list of differential polynomials that form a differential Groebner basis of I.
Example
Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
DA.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]]
-------------------------------
