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

From ApCoCoAWiki
(Types section update.)
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   <title>BBF.RetrieveWPrimeLTs</title>
 
   <title>BBF.RetrieveWPrimeLTs</title>
 
   <short_description>Retrieve leading terms of polynomials of W'.</short_description>
 
   <short_description>Retrieve leading terms of polynomials of W'.</short_description>
   <syntax>BBF.RetrieveWPrimeLTs():LIST
+
   <syntax>
BBF.RetrieveWPrimeLTs(Degree:INT):LIST</syntax>
+
BBF.RetrieveWPrimeLTs():LIST
 +
BBF.RetrieveWPrimeLTs(Degree:INT):LIST
 +
</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.
 
<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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   </description>
 
   </description>
 
   <types>
 
   <types>
    <type>int</type>
 
    <type>integer</type>
 
 
     <type>borderbasis</type>
 
     <type>borderbasis</type>
 
   </types>
 
   </types>

Revision as of 13:30, 24 April 2009

BBF.RetrieveWPrimeLTs

Retrieve leading terms of polynomials of W'.

Syntax

BBF.RetrieveWPrimeLTs():LIST
BBF.RetrieveWPrimeLTs(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 polynomials of W' from the ApCoCoABBFServer. The second function with parameter Degree >= 0 retrieves the leading terms of degree Degree of the polynomials of W'.

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

  • @return List of leading terms of polynomials of set W'.

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.Steps(10);
-- After computation has finished:
BBF.RetrieveWPrimeLTs();

Output:
[x^3, x^2y, x^2z, xy^2, y^3, y^2z, xz^2, yz^2, z^3]

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.Steps(10);
-- After computation has finished:
BBF.RetrieveWPrimeLTs(2);

Output:
[ ]

BBF.Explanation of BBF variables and structures

BBF.RetrieveWPrime