Difference between revisions of "ApCoCoA-1:BBF.RetrieveVPolysWithTermInSupport"
From ApCoCoAWiki
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| + | {{Version|1}} | ||
<command> | <command> | ||
| − | + | <title>BBF.RetrieveVPolysWithTermInSupport</title> | |
| − | + | <short_description>Retrieves polynomials with specific support term from <tt>V</tt>.</short_description> | |
| + | |||
<syntax> | <syntax> | ||
BBF.RetrieveVPolysWithTermInSupport(T:POLY):LIST | BBF.RetrieveVPolysWithTermInSupport(T:POLY):LIST | ||
</syntax> | </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/> | ||
| − | + | This command retrieves all polynomials from <tt>V</tt> that have the term <tt>T</tt> in their support. | |
<itemize> | <itemize> | ||
| − | <item>@param <em>T</em> All polynomials in V with this term in their support will be | + | <item>@param <em>T</em> All polynomials in <tt>V</tt> with this term in their support will be retrieved.</item> |
| − | <item>@return List of polynomials of set V.</item> | + | <item>@return List of polynomials of set <tt>V</tt>.</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 25: | Line 27: | ||
[x^2z - 8001z, y^2z + 8001z] | [x^2z - 8001z, y^2z + 8001z] | ||
</example> | </example> | ||
| − | </ | + | </description> |
| − | <see>BBF.RetrieveV</see> | + | <types> |
| − | + | <type>poly</type> | |
| − | + | <type>polynomial</type> | |
| − | + | <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.RetrieveVLTs|BBF.RetrieveVLTs</see> | ||
| + | <key>RetrieveVPolysWithTermInSupport</key> | ||
| + | <key>BBF.RetrieveVPolysWithTermInSupport</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.RetrieveVPolysWithTermInSupport
Retrieves polynomials with specific support term from V.
Syntax
BBF.RetrieveVPolysWithTermInSupport(T:POLY):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.
This command retrieves all polynomials from V that have the term T in their support.
@param T All polynomials in V with this term in their support will be retrieved.
@return List of 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.RetrieveVPolysWithTermInSupport(z); Output: [x^2z - 8001z, y^2z + 8001z]
BBF.Explanation of BBF variables and structures
