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

From ApCoCoAWiki
(Description update.)
m (insert version info)
 
(6 intermediate revisions by 3 users not shown)
Line 1: Line 1:
 +
{{Version|1}}
 
<command>
 
<command>
 
   <title>BBF.RetrieveBorderBasisPolyByLT</title>
 
   <title>BBF.RetrieveBorderBasisPolyByLT</title>
   <short_description>Retrieve computed border basis polynomial.</short_description>
+
   <short_description>Retrieves a computed border basis polynomial.</short_description>
   <syntax>BBF.RetrieveBorderBasisPolyByLT(T:POLY):LIST</syntax>
+
    
 +
<syntax>
 +
BBF.RetrieveBorderBasisPolyByLT(T:POLY):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.
 
<par/>
 
<par/>
Retrieve the computed border basis polynomial with leading term <tt>T</tt> from the ApCoCoABBFServer.  
+
Retrieves the computed border basis polynomial with leading term <tt>T</tt> from the ApCoCoABBFServer.  
 
<itemize>
 
<itemize>
 
   <item>@param <em>T</em> Leading term of the border basis polynomial to retrieve.</item>
 
   <item>@param <em>T</em> Leading term of the border basis polynomial to retrieve.</item>
Line 26: Line 30:
 
     <type>poly</type>
 
     <type>poly</type>
 
     <type>polynomial</type>
 
     <type>polynomial</type>
 +
    <type>borderbasis</type>
 
   </types>
 
   </types>
   <see>BBF.RetrieveBorderBasis</see>
+
   <see>ApCoCoA-1:BBF.RetrieveBorderBasis|BBF.RetrieveBorderBasis</see>
   <see>BBF.RetrieveBorderBasisLTs</see>
+
   <see>ApCoCoA-1:BBF.RetrieveBorderBasisLTs|BBF.RetrieveBorderBasisLTs</see>
   <see>BB.BBasis</see>
+
   <see>ApCoCoA-1:BB.BBasis|BB.BBasis</see>
 
   <key>RetrieveBorderBasisPolyByLT</key>
 
   <key>RetrieveBorderBasisPolyByLT</key>
 
   <key>BBF.RetrieveBorderBasisPolyByLT</key>
 
   <key>BBF.RetrieveBorderBasisPolyByLT</key>
   <wiki-category>Package_bbf</wiki-category>
+
   <wiki-category>ApCoCoA-1:Package_bbf</wiki-category>
 
</command>
 
</command>

Latest revision as of 09:48, 7 October 2020

This article is about a function from ApCoCoA-1.

BBF.RetrieveBorderBasisPolyByLT

Retrieves a computed border basis polynomial.

Syntax

BBF.RetrieveBorderBasisPolyByLT(T:POLY):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.

Retrieves the computed border basis polynomial with leading term T from the ApCoCoABBFServer.

  • @param T Leading term of the border basis polynomial to retrieve.

  • @return A border basis polynomial.

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.Finish();
-- After computation has finished:
BBF.RetrieveBorderBasisPolyByLT(xy^2);

Output:
[xy^2 + 8001x]

BBF.RetrieveBorderBasis

BBF.RetrieveBorderBasisLTs

BB.BBasis