ApCoCoA-1:BBF.RetrieveBorderBasisLTs: Difference between revisions
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{{Version|1}} | |||
<command> | <command> | ||
<title>BBF.RetrieveBorderBasisLTs</title> | |||
<short_description>Retrieves leading terms of a computed border basis.</short_description> | |||
<syntax> | <syntax> | ||
BBF.RetrieveBorderBasisLTs():LIST | BBF.RetrieveBorderBasisLTs():LIST | ||
BBF.RetrieveBorderBasisLTs(Degree:INT):LIST | BBF.RetrieveBorderBasisLTs(Degree:INT):LIST | ||
</syntax> | </syntax> | ||
<description> | |||
The first | <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. | ||
The second | <par/> | ||
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 <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 | <item>@return List of border basis leading terms.</item> | ||
</itemize> | |||
The following parameter is optional. | |||
<itemize> | |||
<item>@param <em>Degree</em> Retrieve the border basis leading terms of degree <tt>Degree</tt>.</item> | |||
</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); | ||
| Line 35: | Line 42: | ||
[z^2, y^2, x^2] | [z^2, y^2, x^2] | ||
</example> | </example> | ||
</description> | |||
< | <types> | ||
<type>borderbasis</type> | |||
</types> | |||
<see>ApCoCoA-1:BBF.RetrieveBorderBasis|BBF.RetrieveBorderBasis</see> | |||
<see>ApCoCoA-1:BBF.RetrieveBorderBasisPolyByLT|BBF.RetrieveBorderBasisPolyByLT</see> | |||
<see>ApCoCoA-1:BB.BBasis|BB.BBasis</see> | |||
<key>RetrieveBorderBasisLTs</key> | |||
<key>BBF.RetrieveBorderBasisLTs</key> | |||
<wiki-category>ApCoCoA-1:Package_bbf</wiki-category> | |||
</command> | </command> | ||
Latest revision as of 09:47, 7 October 2020
| This article is about a function from ApCoCoA-1. |
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
