Difference between revisions of "ApCoCoA-1:BBF.RetrieveVLTs"
From ApCoCoAWiki
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The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the polynomials of V. Please note that in order to use this function you have to start the ApCoCoABBFServer. | The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the polynomials of V. Please note that in order to use this function you have to start the ApCoCoABBFServer. | ||
<itemize> | <itemize> | ||
| − | <item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set V. | + | <item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set V.</item> |
<item>@return List of leading terms from polynomials of set V.</item> | <item>@return List of leading terms from polynomials of set V.</item> | ||
</itemize> | </itemize> | ||
Revision as of 12:25, 22 April 2009
BBF.RetrieveVLTs
Retrieve leading terms of polynomials of V.
Syntax
BBF.RetrieveVLTs():LIST BBF.RetrieveVLTs(Degree:INT):LIST
Description
The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter Degree >= 0 retrieves the leading terms of degree Degree of the polynomials of V. Please note that in order to use this function you have to start the ApCoCoABBFServer.
@param Degree Retrieve the leading terms of degree Degree from the polynomials of set V.
@return List of leading terms from polynomials of set V.
Example
Use Z/(32003)[x, y, z],DegLex; I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); BBF.Init(I); BBF.Steps(20); -- After computation has finished: BBF.RetrieveVLTs(); Output: [x^2y, x^2z, xy^2, xz^2, y^2z, yz^2, x^2, y^2, z^2]
Example
Use Z/(32003)[x, y, z],DegLex; I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); BBF.Init(I); BBF.Steps(20); -- After computation has finished: BBF.RetrieveVLTs(3); Output: [x^2y, x^2z, xy^2, xz^2, y^2z, yz^2]
Border Basis Framework overview
BBF.RetrieveVPolysWithTermInSupport
