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

From ApCoCoAWiki
(Initial version)
 
(Corrected syntax and description.)
Line 3: Line 3:
 
     <short_description>Retrieve leading terms of polynomials of V.</short_description>
 
     <short_description>Retrieve leading terms of polynomials of V.</short_description>
 
<syntax>
 
<syntax>
BBF.RetrieveV():LIST
+
BBF.RetrieveVLTs():LIST
 +
BBF.RetrieveVLTs(Degree:INT):LIST
 
</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 Degree >= 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.  
+
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.  
 
<example>
 
<example>
 
Use Z/(32003)[x, y, z],DegLex;
 
Use Z/(32003)[x, y, z],DegLex;

Revision as of 15:50, 27 March 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.

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