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

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{{Version|1}}
 
<command>
 
<command>
    <title>BBF.RetrieveUGenerators</title>
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  <title>BBF.RetrieveUGenerators</title>
    <short_description>Retrieve generators of order ideal U.</short_description>
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  <short_description>Retrieves generators of the order ideal.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BBF.RetrieveUGenerators():LIST
 
BBF.RetrieveUGenerators():LIST
 
</syntax>
 
</syntax>
    <description>
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  <description>
Retrieve the set of generators of the order ideal U representing the computing universe from 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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This command retrieves the set of generators of the order ideal <tt>U</tt> representing the computing universe from ApCoCoABBFServer.  
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<itemize>
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  <item>@return List of generators of order ideal <tt>U</tt>.</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);
 
BBF.Finish();
 
BBF.Finish();
 
-- After computation has finished:
 
-- After computation has finished:
BBF.RetrieveWPrime();
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BBF.RetrieveUGenerators();
  
 
Output:
 
Output:
 
[xyz^2, xy^2z, x^2yz]
 
[xyz^2, xy^2z, x^2yz]
 
</example>
 
</example>
    </description>
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  </description>
     <see>Border Basis Framework overview</see>
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  <types>
    <see>BBF.RetrieveUGenerators</see>
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     <type>borderbasis</type>
    <key>bbf.retrieveugenerators</key>
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  </types>
    <wiki-category>Package_BBF</wiki-category>
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  <see>ApCoCoA-1:BBF.Explanation of BBF variables and structures|BBF.Explanation of BBF variables and structures</see>
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  <key>RetrieveUGenerators</key>
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  <key>BBF.RetrieveUGenerators</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.RetrieveUGenerators

Retrieves generators of the order ideal.

Syntax

BBF.RetrieveUGenerators():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 set of generators of the order ideal U representing the computing universe from ApCoCoABBFServer.

  • @return List of generators of order ideal U.

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.RetrieveUGenerators();

Output:
[xyz^2, xy^2z, x^2yz]

BBF.Explanation of BBF variables and structures