Difference between revisions of "ApCoCoA-1:BBF.RetrieveWPrimeLTs"
From ApCoCoAWiki
(Types section update.) |
m (insert version info) |
||
| (12 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
| + | {{Version|1}} | ||
<command> | <command> | ||
| − | + | <title>BBF.RetrieveWPrimeLTs</title> | |
| − | + | <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> | |
<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 | + | 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>@ | + | <item>@return List of leading terms of polynomials of set <tt>W'</tt>.</item> |
| − | + | </itemize> | |
| − | </itemize> | + | The following parameter is optional. |
| + | <itemize> | ||
| + | <item>@param <em>Degree</em> Retrieves the leading terms of degree <tt>Degree</tt> from the polynomials of set <tt>W'</tt>.</item> | ||
| + | </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 27: | Line 32: | ||
<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 37: | Line 42: | ||
[ ] | [ ] | ||
</example> | </example> | ||
| − | + | </description> | |
| − | <types> | + | <types> |
| − | <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.RetrieveWPrime|BBF.RetrieveWPrime</see> | |
| − | + | <key>RetrieveWPrimeLTs</key> | |
| − | + | <key>BBF.RetrieveWPrimeLTs</key> | |
| − | + | <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
