ApCoCoA-1:BBF.RetrieveBorderBasisLTs: Difference between revisions
From ApCoCoAWiki
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<command> | <command> | ||
<title>BBF.RetrieveBorderBasisLTs</title> | |||
<short_description>Retrieve leading terms of computed border basis.</short_description> | |||
<syntax> | <syntax>BBF.RetrieveBorderBasisLTs():LIST | ||
BBF.RetrieveBorderBasisLTs():LIST | BBF.RetrieveBorderBasisLTs(Degree:INT):LIST</syntax> | ||
BBF.RetrieveBorderBasisLTs(Degree:INT):LIST | <description> | ||
</syntax> | |||
<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/> | ||
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[z^2, y^2, x^2] | [z^2, y^2, x^2] | ||
</example> | </example> | ||
</description> | |||
<types> | <types> | ||
<type>int</type> | <type>int</type> | ||
<type>integer</type> | <type>integer</type> | ||
</types> | </types> | ||
<see>BBF.RetrieveBorderBasis</see> | |||
<see>BBF.RetrieveBorderBasisPolyByLT</see> | |||
<see>BB.BBasis</see> | |||
<key>RetrieveBorderBasisLTs</key> | |||
<key>BBF.RetrieveBorderBasisLTs</key> | |||
<wiki-category>Package_bbf</wiki-category> | |||
</command> | </command> | ||
Revision as of 16:01, 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
