Difference between revisions of "ApCoCoA-1:BB.BBasis"
From ApCoCoAWiki
KHiddemann (talk | contribs) (new alias) |
(Updated description) |
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<short_description>border basis of a zero dimensional ideal</short_description> | <short_description>border basis of a zero dimensional ideal</short_description> | ||
<syntax> | <syntax> | ||
| − | BBasis(I:IDEAL):LIST | + | BBasis(I:IDEAL):LIST of POLY |
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | The function <tt>BBasis</tt> calls the ApCoCoAServer to compute the border basis of | + | Let <formula>\sigma</formula> be a degree compatible term ordering. The function <tt>BBasis</tt> calls the ApCoCoAServer to compute the <formula>\mathcal{O}_\sigma(I)</formula>-border basis of the zero-dimensional input ideal <tt>I</tt> and returns it as a list of polynomials. |
<example> | <example> | ||
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I := Ideal([x^2, xy + y^2]); | I := Ideal([x^2, xy + y^2]); | ||
BB := BBasis(I); | BB := BBasis(I); | ||
| − | + | BB; | |
| + | |||
------------------------------- | ------------------------------- | ||
| − | |||
[xy + y^2, x^2, y^3, xy^2] | [xy + y^2, x^2, y^3, xy^2] | ||
------------------------------- | ------------------------------- | ||
Revision as of 14:16, 20 June 2008
BBasis
border basis of a zero dimensional ideal
Syntax
BBasis(I:IDEAL):LIST of POLY
Description
Let <formula>\sigma</formula> be a degree compatible term ordering. The function BBasis calls the ApCoCoAServer to compute the <formula>\mathcal{O}_\sigma(I)</formula>-border basis of the zero-dimensional input ideal I and returns it as a list of polynomials.
Example
Use Q[x, y], DegLex; I := Ideal([x^2, xy + y^2]); BB := BBasis(I); BB; ------------------------------- [xy + y^2, x^2, y^3, xy^2] -------------------------------
