Difference between revisions of "ApCoCoA-1:BBF.RetrieveWPrimeLTs"
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The first function without parameter retrieves the leading terms of the polynomials of W' 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 W'. | The first function without parameter retrieves the leading terms of the polynomials of W' 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 W'. | ||
<itemize> | <itemize> | ||
| − | |||
<item>@return List of leading terms of polynomials of set W'.</item> | <item>@return List of leading terms of polynomials of set W'.</item> | ||
| − | </itemize> | + | </itemize> |
| + | <itemize> | ||
| + | <item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set W'.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
Use ZZ/(32003)[x, y, z],DegLex; | Use ZZ/(32003)[x, y, z],DegLex; | ||
Revision as of 13:33, 28 April 2009
BBF.RetrieveWPrimeLTs
Retrieve leading terms of polynomials of W'.
Syntax
BBF.RetrieveWPrimeLTs():LIST BBF.RetrieveWPrimeLTs(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 W' from the ApCoCoABBFServer. The second function with parameter Degree >= 0 retrieves the leading terms of degree Degree of the polynomials of W'.
@return List of leading terms of polynomials of set W'.
@param Degree Retrieve the leading terms of degree Degree from the polynomials of set W'.
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(10); -- After computation has finished: BBF.RetrieveWPrimeLTs(); Output: [x^3, x^2y, x^2z, xy^2, y^3, y^2z, xz^2, yz^2, z^3]
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(10); -- After computation has finished: BBF.RetrieveWPrimeLTs(2); Output: [ ]
BBF.Explanation of BBF variables and structures
