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

From ApCoCoAWiki
(See section update.)
(Description update.)
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<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>
+
  <syntax>BBF.RetrieveVLTs():LIST
BBF.RetrieveVLTs():LIST
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BBF.RetrieveVLTs(Degree:INT):LIST</syntax>
BBF.RetrieveVLTs(Degree:INT):LIST
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  <description>
</syntax>
 
    <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/>
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[x^2y, x^2z, xy^2, xz^2, y^2z, yz^2, x^2, y^2, z^2]
 
[x^2y, x^2z, xy^2, xz^2, y^2z, yz^2, x^2, y^2, z^2]
 
</example>
 
</example>
 
 
<example>
 
<example>
 
Use ZZ/(32003)[x, y, z],DegLex;
 
Use ZZ/(32003)[x, y, z],DegLex;
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[x^2y, x^2z, xy^2, xz^2, y^2z, yz^2]
 
[x^2y, x^2z, xy^2, xz^2, y^2z, yz^2]
 
</example>
 
</example>
    </description>
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  </description>
<types>
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  <types>
<type>int</type>
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    <type>int</type>
<type>integer</type>
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    <type>integer</type>
</types>
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  </types>
    <see>BBF.Explanation of BBF variables and structures</see>
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  <see>BBF.Explanation of BBF variables and structures</see>
    <see>BBF.RetrieveV</see>
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  <see>BBF.RetrieveV</see>
    <see>BBF.RetrieveVPolysWithTermInSupport</see>
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  <see>BBF.RetrieveVPolysWithTermInSupport</see>
    <key>RetrieveVLTs</key>
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  <key>RetrieveVLTs</key>
    <key>BBF.RetrieveVLTs</key>
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  <key>BBF.RetrieveVLTs</key>
    <wiki-category>Package_bbf</wiki-category>
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  <wiki-category>Package_bbf</wiki-category>
 
</command>
 
</command>

Revision as of 15:56, 23 April 2009

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.

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

  • @return List of leading terms from 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