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

From ApCoCoAWiki
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{{Version|1}}
 
<command>
 
<command>
 
   <title>BBF.RetrieveBorderBasis</title>
 
   <title>BBF.RetrieveBorderBasis</title>
   <short_description>Retrieve computed border basis.</short_description>
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   <short_description>Retrieves a computed border basis.</short_description>
   <syntax>
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    BBF.RetrieveBorderBasis():LIST
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<syntax>
  </syntax>
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BBF.RetrieveBorderBasis():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/>
Retrieve the computed border basis from the ApCoCoABBFServer.
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This command retrieves the computed border basis from the ApCoCoABBFServer.
  
 
<itemize>
 
<itemize>
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</example>
 
</example>
 
   </description>
 
   </description>
   <see>BBF.RetrieveBorderBasisLTs</see>
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   <see>ApCoCoA-1:BBF.RetrieveBorderBasisLTs|BBF.RetrieveBorderBasisLTs</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>
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  <types>
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    <type>borderbasis</type>
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  </types>
 
   <key>RetrieveBorderBasis</key>
 
   <key>RetrieveBorderBasis</key>
 
   <key>BBF.RetrieveBorderBasis</key>
 
   <key>BBF.RetrieveBorderBasis</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.RetrieveBorderBasis

Retrieves a computed border basis.

Syntax

BBF.RetrieveBorderBasis():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.

This command retrieves the computed border basis from the ApCoCoABBFServer.

  • @return List of border basis polynomials.

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.RetrieveBorderBasis();

Output:
[z^2, y^2 + 8001, x^2 - 8001, yz^2, y^2z + 8001z, xz^2, xy^2 + 8001x, x^2z - 8001z, x^2y - 8001y, xyz^2, xy^2z + 8001xz, x^2yz - 8001yz]

BBF.RetrieveBorderBasisLTs

BBF.RetrieveBorderBasisPolyByLT

BB.BBasis