Difference between revisions of "ApCoCoA-1:BBF.RetrieveBorderBasisLTs"
From ApCoCoAWiki
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</syntax> | </syntax> | ||
<description> | <description> | ||
| + | <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/> | ||
The first function without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer. | The first function without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer. | ||
The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the computed border basis polynomials. | The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the computed border basis polynomials. | ||
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<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 Degree.</item> | ||
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<key>RetrieveBorderBasisLTs</key> | <key>RetrieveBorderBasisLTs</key> | ||
<key>BBF.RetrieveBorderBasisLTs</key> | <key>BBF.RetrieveBorderBasisLTs</key> | ||
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<wiki-category>Package_bbf</wiki-category> | <wiki-category>Package_bbf</wiki-category> | ||
</command> | </command> | ||
Revision as of 09:12, 23 April 2009
BBF.RetrieveBorderBasisLTs
Retrieve leading terms of 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 function without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer.
The second function with parameter Degree >= 0 retrieves the leading terms of degree Degree of the computed border basis polynomials.
@param Degree Retrieve the border basis leading terms of degree Degree.
@return List of border basis leading terms.
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.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 Z/(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
