Difference between revisions of "ApCoCoA-1:BBF.RetrieveBorderBasisLTs"
From ApCoCoAWiki
(Description update.) |
|||
| Line 1: | Line 1: | ||
<command> | <command> | ||
<title>BBF.RetrieveBorderBasisLTs</title> | <title>BBF.RetrieveBorderBasisLTs</title> | ||
| − | <short_description> | + | <short_description>Retrieves leading terms of a computed border basis.</short_description> |
<syntax> | <syntax> | ||
| Line 10: | Line 10: | ||
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoABBFServer</em>. You will have to start the ApCoCoABBFServer in order to use it/them. | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoABBFServer</em>. You will have to start the ApCoCoABBFServer in order to use it/them. | ||
<par/> | <par/> | ||
| − | The first | + | The first variant of this command without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer. |
| − | The second | + | The second variant with the parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the computed border basis polynomials. |
<itemize> | <itemize> | ||
<item>@return List of border basis leading terms.</item> | <item>@return List of border basis leading terms.</item> | ||
| Line 17: | Line 17: | ||
The following parameter is optional. | The following parameter is optional. | ||
<itemize> | <itemize> | ||
| − | <item>@param <em>Degree</em> Retrieve the border basis leading terms of degree Degree.</item> | + | <item>@param <em>Degree</em> Retrieve the border basis leading terms of degree <tt>Degree</tt>.</item> |
</itemize> | </itemize> | ||
<example> | <example> | ||
Revision as of 14:06, 8 July 2009
BBF.RetrieveBorderBasisLTs
Retrieves leading terms of a computed border basis.
Syntax
BBF.RetrieveBorderBasisLTs():LIST BBF.RetrieveBorderBasisLTs(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 variant of this command without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer.
The second variant with the parameter Degree >= 0 retrieves the leading terms of degree Degree of the computed border basis polynomials.
@return List of border basis leading terms.
The following parameter is optional.
@param Degree Retrieve the border basis leading terms of degree Degree.
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.Finish(); -- After computation has finished: BBF.RetrieveBorderBasisLTs(); Output: [z^2, y^2, x^2, yz^2, y^2z, xz^2, xy^2, x^2z, x^2y, xyz^2, xy^2z, x^2yz]
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.Finish(); -- After computation has finished: BBF.RetrieveBorderBasisLTs(2); Output: [z^2, y^2, x^2]
BBF.RetrieveBorderBasisPolyByLT
