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

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{{Version|1}}
 
<command>
 
<command>
    <title>BBF.RetrieveBorderBasisPolyByLT</title>
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  <title>BBF.RetrieveBorderBasisPolyByLT</title>
    <short_description>Retrieve computed border basis polynomial.</short_description>
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  <short_description>Retrieves a computed border basis polynomial.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BBF.RetrieveBorderBasisPolyByLT(T:POLY):LIST
 
BBF.RetrieveBorderBasisPolyByLT(T:POLY):LIST
 
</syntax>
 
</syntax>
    <description>
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  <description>
Retrieve the computed border basis polynomial with leading term <tt>T</tt> from the ApCoCoABBFServer. Please note that in order to use this function you have to start the ApCoCoABBFServer.
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<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.
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<par/>
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Retrieves the computed border basis polynomial with leading term <tt>T</tt> from the ApCoCoABBFServer.  
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<itemize>
 +
  <item>@param <em>T</em> Leading term of the border basis polynomial to retrieve.</item>
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  <item>@return A border basis polynomial.</item>
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</itemize>
 
<example>
 
<example>
Use Z/(32003)[x, y, z],DegLex;
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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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[xy^2 + 8001x]
 
[xy^2 + 8001x]
 
</example>
 
</example>
     </description>
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  </description>
     <see>Border Basis Framework overview</see>
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  <types>
     <see>BBF.RetrieveBorderBasis</see>
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     <type>poly</type>
    <see>BBF.RetrieveBorderBasisLTs</see>
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     <type>polynomial</type>
    <see>BBasis</see>
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     <type>borderbasis</type>
    <key>bbf.retrieveborderbasispolybylt</key>
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  </types>
    <wiki-category>Package_BBF</wiki-category>
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  <see>ApCoCoA-1:BBF.RetrieveBorderBasis|BBF.RetrieveBorderBasis</see>
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  <see>ApCoCoA-1:BBF.RetrieveBorderBasisLTs|BBF.RetrieveBorderBasisLTs</see>
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  <see>ApCoCoA-1:BB.BBasis|BB.BBasis</see>
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  <key>RetrieveBorderBasisPolyByLT</key>
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  <key>BBF.RetrieveBorderBasisPolyByLT</key>
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  <wiki-category>ApCoCoA-1:Package_bbf</wiki-category>
 
</command>
 
</command>

Latest revision as of 09:48, 7 October 2020

This article is about a function from ApCoCoA-1.

BBF.RetrieveBorderBasisPolyByLT

Retrieves a computed border basis polynomial.

Syntax

BBF.RetrieveBorderBasisPolyByLT(T:POLY):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.

Retrieves the computed border basis polynomial with leading term T from the ApCoCoABBFServer.

  • @param T Leading term of the border basis polynomial to retrieve.

  • @return A border basis polynomial.

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.RetrieveBorderBasisPolyByLT(xy^2);

Output:
[xy^2 + 8001x]

BBF.RetrieveBorderBasis

BBF.RetrieveBorderBasisLTs

BB.BBasis