Difference between revisions of "ApCoCoA-1:DA.DiffGB"
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<example>Use QQ[x[1..1,0..20]]; | <example>Use QQ[x[1..1,0..20]]; | ||
| − | Use QQ[x[1..1,0..20]], Ord(DA.DiffTO( | + | Use QQ[x[1..1,0..20]], Ord(DA.DiffTO("Lex")); |
DA.DiffGB([x[1,1]^4+x[1,0]]); | DA.DiffGB([x[1,1]^4+x[1,0]]); | ||
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<key>differential.DiffGB</key> | <key>differential.DiffGB</key> | ||
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</command> | </command> | ||
Latest revision as of 13:29, 29 October 2020
| This article is about a function from ApCoCoA-1. |
DA.DiffGB
Computes 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 a set of differential polynomials 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 QQ[x[1..1,0..20]];
Use QQ[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]]
-------------------------------
