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

From ApCoCoAWiki
(Key and see section update.)
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</syntax>
 
</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.
 +
<par/>
 
The first function without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer.
 
The first function without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer.
 
The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the computed border basis polynomials.
 
The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the computed border basis polynomials.
Please note that in order to use this function you have to start the ApCoCoABBFServer.
 
 
<itemize>
 
<itemize>
 
   <item>@param <em>Degree</em> Retrieve the border basis leading terms of degree Degree.</item>
 
   <item>@param <em>Degree</em> Retrieve the border basis leading terms of degree Degree.</item>
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     <key>RetrieveBorderBasisLTs</key>
 
     <key>RetrieveBorderBasisLTs</key>
 
     <key>BBF.RetrieveBorderBasisLTs</key>
 
     <key>BBF.RetrieveBorderBasisLTs</key>
    <key>bbf.RetrieveBorderBasisLTs</key>
 
 
     <wiki-category>Package_bbf</wiki-category>
 
     <wiki-category>Package_bbf</wiki-category>
 
</command>
 
</command>

Revision as of 09:12, 23 April 2009

BBF.RetrieveBorderBasisLTs

Retrieve leading terms of computed border basis.

Syntax

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

The first function without parameter retrieves the leading terms of the computed border basis polynomials from the ApCoCoABBFServer.

The second function with parameter Degree >= 0 retrieves the leading terms of degree Degree of the computed border basis polynomials.

  • @param Degree Retrieve the border basis leading terms of degree Degree.

  • @return List of border basis leading terms.

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.Finish();
-- After computation has finished:
BBF.RetrieveBorderBasisLTs();

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

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.Finish();
-- After computation has finished:
BBF.RetrieveBorderBasisLTs(2);

Output:
[z^2, y^2, x^2]

BBF.RetrieveBorderBasis

BBF.RetrieveBorderBasisPolyByLT

BB.BBasis