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

From ApCoCoAWiki
(Initial version)
 
(Updated example)
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<example>
 
<example>
 
Use Z/(32003)[x, y, z],DegLex;
 
Use Z/(32003)[x, y, z],DegLex;
I:=Ideal(-4*x^2, -4*y^2, 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();
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Output:
 
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]
+
[z^2, y^2 + 8001, x^2 - 8001, yz^2, y^2z + 8001z, xz^2, xy^2 + 8001x, x^2z - 8001z, x^2y - 8001y, xyz^2, xy^2z + 8001xz, x^2yz - 8001yz]
 
</example>
 
</example>
 
     </description>
 
     </description>

Revision as of 15:22, 27 March 2009

BBF.RetrieveBorderBasis

Retrieve computed border basis.

Syntax

BBF.RetrieveBorderBasis():LIST

Description

Retrieve the computed border basis from the ApCoCoABBFServer. Please note that in order to use this function you have to start the ApCoCoABBFServer.

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.RetrieveBorderBasis();

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

Border Basis Framework overview

BBF.RetrieveBorderBasisLTs

BBF.RetrieveBorderBasisPolyByLT

BBasis