Difference between revisions of "ApCoCoA-1:BBF.RetrieveBorderBasisLTs"

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{{Version|1}}
 
<command>
 
<command>
 
   <title>BBF.RetrieveBorderBasisLTs</title>
 
   <title>BBF.RetrieveBorderBasisLTs</title>
   <short_description>Retrieve leading terms of computed border basis.</short_description>
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   <short_description>Retrieves leading terms of a computed border basis.</short_description>
   <syntax>BBF.RetrieveBorderBasisLTs():LIST
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BBF.RetrieveBorderBasisLTs(Degree:INT):LIST</syntax>
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<syntax>
 +
BBF.RetrieveBorderBasisLTs():LIST
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BBF.RetrieveBorderBasisLTs(Degree:INT):LIST
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</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.
 
<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/>
The first function without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer.
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The first variant of this command 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.
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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>@param <em>Degree</em> Retrieve the border basis leading terms of degree Degree.</item>
 
 
   <item>@return List of border basis leading terms.</item>
 
   <item>@return List of border basis leading terms.</item>
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</itemize>
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The following parameter is optional.
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<itemize>
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  <item>@param <em>Degree</em> Retrieve the border basis leading terms of degree <tt>Degree</tt>.</item>
 
</itemize>
 
</itemize>
 
<example>
 
<example>
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   </description>
 
   </description>
 
   <types>
 
   <types>
     <type>int</type>
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     <type>borderbasis</type>
    <type>integer</type>
 
 
   </types>
 
   </types>
   <see>BBF.RetrieveBorderBasis</see>
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   <see>ApCoCoA-1:BBF.RetrieveBorderBasis|BBF.RetrieveBorderBasis</see>
   <see>BBF.RetrieveBorderBasisPolyByLT</see>
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   <see>ApCoCoA-1:BBF.RetrieveBorderBasisPolyByLT|BBF.RetrieveBorderBasisPolyByLT</see>
   <see>BB.BBasis</see>
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   <see>ApCoCoA-1:BB.BBasis|BB.BBasis</see>
 
   <key>RetrieveBorderBasisLTs</key>
 
   <key>RetrieveBorderBasisLTs</key>
 
   <key>BBF.RetrieveBorderBasisLTs</key>
 
   <key>BBF.RetrieveBorderBasisLTs</key>
   <wiki-category>Package_bbf</wiki-category>
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   <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.RetrieveBorderBasis

BBF.RetrieveBorderBasisPolyByLT

BB.BBasis