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

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{{Version|1}}
 
<command>
 
<command>
 
   <title>BBF.RetrieveVLTs</title>
 
   <title>BBF.RetrieveVLTs</title>
 
   <short_description>Retrieve leading terms of polynomials of V.</short_description>
 
   <short_description>Retrieve leading terms of polynomials of V.</short_description>
   <syntax>BBF.RetrieveVLTs():LIST
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BBF.RetrieveVLTs(Degree:INT):LIST</syntax>
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<syntax>
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BBF.RetrieveVLTs():LIST
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BBF.RetrieveVLTs(Degree:INT):LIST
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</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/>
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.
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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> &gt;= 0 retrieves the leading terms of degree <tt>Degree</tt> of the polynomials of V.
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<itemize>
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  <item>@return List of leading terms from polynomials of set V.</item>
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</itemize>
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The following parameter is optional.
 
<itemize>
 
<itemize>
 
   <item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set V.</item>
 
   <item>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set V.</item>
  <item>@return List of leading terms from polynomials of set V.</item>
 
 
</itemize>
 
</itemize>
 
<example>
 
<example>
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   </description>
 
   </description>
 
   <types>
 
   <types>
    <type>int</type>
 
    <type>integer</type>
 
 
     <type>borderbasis</type>
 
     <type>borderbasis</type>
 
   </types>
 
   </types>
   <see>BBF.Explanation of BBF variables and structures</see>
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   <see>ApCoCoA-1:BBF.Explanation of BBF variables and structures|BBF.Explanation of BBF variables and structures</see>
   <see>BBF.RetrieveV</see>
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   <see>ApCoCoA-1:BBF.RetrieveV|BBF.RetrieveV</see>
   <see>BBF.RetrieveVPolysWithTermInSupport</see>
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   <see>ApCoCoA-1:BBF.RetrieveVPolysWithTermInSupport|BBF.RetrieveVPolysWithTermInSupport</see>
 
   <key>RetrieveVLTs</key>
 
   <key>RetrieveVLTs</key>
 
   <key>BBF.RetrieveVLTs</key>
 
   <key>BBF.RetrieveVLTs</key>
   <wiki-category>Package_bbf</wiki-category>
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   <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.RetrieveVLTs

Retrieve leading terms of polynomials of V.

Syntax

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

  • @return List of leading terms from polynomials of set V.

The following parameter is optional.

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

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(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 ZZ/(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]

BBF.Explanation of BBF variables and structures

BBF.RetrieveV

BBF.RetrieveVPolysWithTermInSupport