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

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(Added parameter and return value list.)
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</syntax>
 
</syntax>
 
     <description>
 
     <description>
The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the polynomials of V. Please note that in order to use this function you have to start the ApCoCoABBFServer.  
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The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the polynomials of V. Please note that in order to use this function you have to start the ApCoCoABBFServer.
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<itemize>
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  <item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set V.
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  <item>@return List of leading terms from polynomials of set V.</item>
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</itemize>
 
<example>
 
<example>
 
Use Z/(32003)[x, y, z],DegLex;
 
Use Z/(32003)[x, y, z],DegLex;

Revision as of 12:24, 22 April 2009

BBF.RetrieveVLTs

Retrieve leading terms of polynomials of V.

Syntax

BBF.RetrieveVLTs():LIST
BBF.RetrieveVLTs(Degree:INT):LIST

Description

The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter Degree >= 0 retrieves the leading terms of degree Degree of the polynomials of V. Please note that in order to use this function you have to start the ApCoCoABBFServer.

  • @param Degree Retrieve the leading terms of degree Degree from the polynomials of set V.

     <item>@return List of leading terms from polynomials of set V.
    

Example

Use Z/(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.RetrieveVLTs();

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

Example

Use Z/(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.RetrieveVLTs(3);

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

Border Basis Framework overview

BBF.RetrieveV

BBF.RetrieveVPolysWithTermInSupport