Difference between revisions of "ApCoCoA-1:BBF.RetrieveBorderBasisLTs"
From ApCoCoAWiki
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Please note that in order to use this function you have to start the ApCoCoABBFServer. | Please note that in order to use this function you have to start the ApCoCoABBFServer. | ||
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| − | <item>@return | + | <item>@return A list of border basis polynomial leading terms.</item> |
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<example> | <example> | ||
Revision as of 12:28, 22 April 2009
BBF.RetrieveBorderBasisLTs
Retrieve leading terms of computed border basis.
Syntax
BBF.RetrieveBorderBasisLTs():LIST BBF.RetrieveBorderBasisLTs(Degree:INT):LIST
Description
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.
Please note that in order to use this function you have to start the ApCoCoABBFServer.
@return A list of border basis polynomial 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]
Border Basis Framework overview
BBF.RetrieveBorderBasisPolyByLT
