Difference between revisions of "ApCoCoA-1:BBF.RetrieveBorderBasisLTs"
From ApCoCoAWiki
(Types section update.) |
(Example section update.) |
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</itemize> | </itemize> | ||
<example> | <example> | ||
| − | Use | + | Use ZZ/(32003)[x, y, z],DegLex; |
I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); | I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); | ||
BBF.Init(I); | BBF.Init(I); | ||
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</example> | </example> | ||
<example> | <example> | ||
| − | Use | + | Use ZZ/(32003)[x, y, z],DegLex; |
I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); | I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); | ||
BBF.Init(I); | BBF.Init(I); | ||
Revision as of 13:03, 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 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
