Difference between revisions of "ApCoCoA-1:BBF.RetrieveVLTs"
From ApCoCoAWiki
(Key and see section update.) |
m (insert version info) |
||
| (13 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
| + | {{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
