ApCoCoA-1:BBF.RetrieveVLTs: Difference between revisions
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{{Version|1}} | |||
<command> | <command> | ||
<title>BBF.RetrieveVLTs</title> | |||
<short_description>Retrieve leading terms of polynomials of V.</short_description> | |||
<syntax> | <syntax> | ||
BBF.RetrieveVLTs():LIST | BBF.RetrieveVLTs():LIST | ||
BBF.RetrieveVLTs(Degree:INT):LIST | BBF.RetrieveVLTs(Degree:INT):LIST | ||
</syntax> | </syntax> | ||
<description> | |||
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> | <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/> | |||
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. | |||
<itemize> | |||
<item>@return List of leading terms from polynomials of set V.</item> | |||
</itemize> | |||
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> | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
Use | 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); | ||
| Line 23: | Line 30: | ||
[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 | 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); | ||
| Line 35: | Line 41: | ||
[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> | |||
<see>BBF. | <types> | ||
<type>borderbasis</type> | |||
</types> | |||
<see>ApCoCoA-1:BBF.Explanation of BBF variables and structures|BBF.Explanation of BBF variables and structures</see> | |||
<see>ApCoCoA-1:BBF.RetrieveV|BBF.RetrieveV</see> | |||
<see>ApCoCoA-1:BBF.RetrieveVPolysWithTermInSupport|BBF.RetrieveVPolysWithTermInSupport</see> | |||
<key>RetrieveVLTs</key> | |||
<key>BBF.RetrieveVLTs</key> | |||
<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.RetrieveVPolysWithTermInSupport
