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

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{{Version|1}}
 
<command>
 
<command>
    <title>BBF.RetrieveWPrimeLTs</title>
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  <title>BBF.RetrieveWPrimeLTs</title>
    <short_description>Retrieve leading terms of polynomials of W'.</short_description>
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  <short_description>Retrieves leading terms of polynomials of <tt>W'</tt>.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BBF.RetrieveWPrimeLTs():LIST
 
BBF.RetrieveWPrimeLTs():LIST
 
BBF.RetrieveWPrimeLTs(Degree:INT):LIST
 
BBF.RetrieveWPrimeLTs(Degree:INT):LIST
 
</syntax>
 
</syntax>
    <description>
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  <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 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'.
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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>@param <em>Degree</em> Retrieve the leading terms of degree Degree from the polynomials of set W'.</item>
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   <item>@return List of leading terms of polynomials of set <tt>W'</tt>.</item>
  <item>@return List of leading terms of polynomials of set W'.</item>
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</itemize>
</itemize>  
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The following parameter is optional.
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<itemize>
 +
    <item>@param <em>Degree</em> Retrieves the leading terms of degree <tt>Degree</tt> from the polynomials of set <tt>W'</tt>.</item>
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</itemize>
 
<example>
 
<example>
Use Z/(32003)[x, y, z],DegLex;
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Use ZZ/(32003)[x, y, z],DegLex;
 
I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2);
 
I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2);
 
BBF.Init(I);
 
BBF.Init(I);
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<example>
 
<example>
Use Z/(32003)[x, y, z],DegLex;
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Use ZZ/(32003)[x, y, z],DegLex;
 
I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2);
 
I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2);
 
BBF.Init(I);
 
BBF.Init(I);
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[ ]
 
[ ]
 
</example>
 
</example>
    </description>
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  </description>
<types>
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  <types>
<type>int</type>
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    <type>borderbasis</type>
<type>integer</type>
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  </types>
</types>
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  <see>ApCoCoA-1:BBF.Explanation of BBF variables and structures|BBF.Explanation of BBF variables and structures</see>
    <see>BBF.RetrieveWPrime</see>
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  <see>ApCoCoA-1:BBF.RetrieveWPrime|BBF.RetrieveWPrime</see>
    <key>RetrieveWPrimeLTs</key>
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  <key>RetrieveWPrimeLTs</key>
    <key>BBF.RetrieveWPrimeLTs</key>
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  <key>BBF.RetrieveWPrimeLTs</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 09:49, 7 October 2020

This article is about a function from ApCoCoA-1.

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