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

From ApCoCoAWiki
(Description update.)
Line 1: Line 1:
 
<command>
 
<command>
 
   <title>BBF.RetrieveWPrimeLTs</title>
 
   <title>BBF.RetrieveWPrimeLTs</title>
   <short_description>Retrieve leading terms of polynomials of W'.</short_description>
+
   <short_description>Retrieves leading terms of polynomials of <tt>W'</tt>.</short_description>
 
    
 
    
 
<syntax>
 
<syntax>
Line 10: Line 10:
 
<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.
 
<par/>
 
<par/>
The first function without parameter retrieves the leading terms of the polynomials of W' 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 W'.
+
The first variant of this command without parameter retrieves the leading terms of the polynomials of <tt>W'</tt> from the ApCoCoABBFServer. The second variant with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the polynomials of <tt>W'</tt>.
 
<itemize>
 
<itemize>
   <item>@return List of leading terms of polynomials of set W'.</item>
+
   <item>@return List of leading terms of polynomials of set <tt>W'</tt>.</item>
 
</itemize>
 
</itemize>
 
The following parameter is optional.
 
The following parameter is optional.
 
<itemize>
 
<itemize>
     <item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set W'.</item>
+
     <item>@param <em>Degree</em> Retrieves the leading terms of degree <tt>Degree</tt> from the polynomials of set <tt>W'</tt>.</item>
 
</itemize>
 
</itemize>
 
<example>
 
<example>

Revision as of 14:25, 8 July 2009

BBF.RetrieveWPrimeLTs

Retrieves 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 variant of this command without parameter retrieves the leading terms of the polynomials of W' from the ApCoCoABBFServer. The second variant with parameter Degree >= 0 retrieves the leading terms of degree Degree of the polynomials of W'.

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

The following parameter is optional.

  • @param Degree Retrieves the leading terms of degree Degree from the 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