Difference between revisions of "ApCoCoA-1:BBF.RetrieveVLTs"
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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. | 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. | ||
| + | <itemize> | ||
| + | <item>@return List of leading terms from polynomials of set V.</item> | ||
| + | </itemize> | ||
| + | The following parameter is optional. | ||
<itemize> | <itemize> | ||
<item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set V.</item> | <item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set V.</item> | ||
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</itemize> | </itemize> | ||
<example> | <example> | ||
Revision as of 13:18, 28 April 2009
BBF.RetrieveVLTs
Retrieve leading terms of polynomials of V.
Syntax
BBF.RetrieveVLTs():LIST BBF.RetrieveVLTs(Degree:INT):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoABBFServer. You will have to start the ApCoCoABBFServer in order to use it/them.
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.
@return List of leading terms from polynomials of set V.
The following parameter is optional.
@param Degree Retrieve the leading terms of degree Degree from the polynomials of set V.
Example
Use ZZ/(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 ZZ/(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]
BBF.Explanation of BBF variables and structures
BBF.RetrieveVPolysWithTermInSupport
