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

From ApCoCoAWiki
(Added parameter and return value list.)
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{{Version|1}}
 
<command>
 
<command>
    <title>BBF.RetrieveV</title>
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  <title>BBF.RetrieveV</title>
    <short_description>Retrieve polynomials from V.</short_description>
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  <short_description>Retrieves polynomials from <tt>V</tt>.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BBF.RetrieveV():LIST
 
BBF.RetrieveV():LIST
 
</syntax>
 
</syntax>
    <description>
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  <description>
Retrieve all polynomials from V. 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 all polynomials from <tt>V</tt>.  
 
<itemize>
 
<itemize>
   <item>@return List of polynomials of set V.</item>
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   <item>@return List of polynomials of the set <tt>V</tt>.</item>
 
</itemize>
 
</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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[x^2y - 8001y, x^2z - 8001z, xy^2 + 8001x, xz^2, y^2z + 8001z, yz^2, x^2 - 8001, y^2 + 8001, z^2]
 
[x^2y - 8001y, x^2z - 8001z, xy^2 + 8001x, xz^2, y^2z + 8001z, yz^2, x^2 - 8001, y^2 + 8001, z^2]
 
</example>
 
</example>
    </description>
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  </description>
    <see>Border Basis Framework overview</see>
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  <see>ApCoCoA-1:BBF.Explanation of BBF variables and structures|BBF.Explanation of BBF variables and structures</see>
    <see>BBF.RetrieveVLTs</see>
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  <see>ApCoCoA-1:BBF.RetrieveVLTs|BBF.RetrieveVLTs</see>
    <see>BBF.RetrieveVPolysWithTermInSupport</see>
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  <see>ApCoCoA-1:BBF.RetrieveVPolysWithTermInSupport|BBF.RetrieveVPolysWithTermInSupport</see>
     <key>bbf.retrievev</key>
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  <types>
    <wiki-category>Package_bbf</wiki-category>
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     <type>borderbasis</type>
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  </types>
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  <key>RetrieveV</key>
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  <key>BBF.RetrieveV</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.RetrieveV

Retrieves polynomials from V.

Syntax

BBF.RetrieveV():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 all polynomials from V.

  • @return List of polynomials of the set V.

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.Steps(20);
-- After computation has finished:
BBF.RetrieveV();

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

BBF.Explanation of BBF variables and structures

BBF.RetrieveVLTs

BBF.RetrieveVPolysWithTermInSupport