ApCoCoA-1:BB.NDgens: Difference between revisions
From ApCoCoAWiki
No edit summary |
m insert version info |
||
| (4 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Version|1}} | |||
<command> | <command> | ||
<title>BB.NDgens</title> | <title>BB.NDgens</title> | ||
| Line 4: | Line 5: | ||
<syntax> | <syntax> | ||
BB.NDgens(K:INT,OO:LIST):LIST | BB.NDgens(K:INT,OO:LIST):LIST of POLY | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
This command computes the generators of the vanishing ideal of the border basis scheme corresponding to the lifting of the <tt>K</tt>-th element of <ref>ApCoCoA-1:BB.NDneighbors|BB.NDneighbors</ref>(OO). | |||
<itemize> | <itemize> | ||
<item>@param <em>K</em> | <item>@param <em>K</em> An integer in the range 1..<ref>ApCoCoA-1:Len|Len</ref>(<ref>ApCoCoA-1:BB.NDneighbors|BB.NDneighbors</ref>(OO)).</item> | ||
<item>@param <em>OO</em> A list of terms representing an order ideal.</item> | <item>@param <em>OO</em> A list of terms representing an order ideal.</item> | ||
<item>@return A list of generators of the vanishing ideal | <item>@return A list of generators of the vanishing ideal. The polynomials will belong to the ring <tt>BBS=K[c_{ij}]</tt>.</item> | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
| Line 25: | Line 26: | ||
</types> | </types> | ||
<see>BB.ASgens</see> | <see>ApCoCoA-1:BB.ASgens|BB.ASgens</see> | ||
<see>BB.HomASgens</see> | <see>ApCoCoA-1:BB.HomASgens|BB.HomASgens</see> | ||
<see>BB.HomNDgens</see> | <see>ApCoCoA-1:BB.HomNDgens|BB.HomNDgens</see> | ||
<key>NDgens</key> | <key>NDgens</key> | ||
<key>BB.NDgens</key> | <key>BB.NDgens</key> | ||
<key>borderbasis.NDgens</key> | <key>borderbasis.NDgens</key> | ||
<wiki-category>Package_borderbasis</wiki-category> | <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category> | ||
</command> | </command> | ||
Latest revision as of 09:42, 7 October 2020
| This article is about a function from ApCoCoA-1. |
BB.NDgens
Computes the generators of the vanishing ideal of a border basis scheme.
Syntax
BB.NDgens(K:INT,OO:LIST):LIST of POLY
Description
This command computes the generators of the vanishing ideal of the border basis scheme corresponding to the lifting of the K-th element of BB.NDneighbors(OO).
@param K An integer in the range 1..Len(BB.NDneighbors(OO)).
@param OO A list of terms representing an order ideal.
@return A list of generators of the vanishing ideal. The polynomials will belong to the ring BBS=K[c_{ij}].
Example
Use QQ[x,y,z]; BB.NDgens(1, [1,x]); [BBS :: c[1,5]c[2,1] - c[1,3], BBS :: c[2,1]c[2,5] + c[1,1] - c[2,3]] -------------------------------
