Difference between revisions of "ApCoCoA-1:BB.HomNDgens"
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<command> | <command> | ||
<title>BB.HomNDgens</title> | <title>BB.HomNDgens</title> | ||
| − | <short_description> | + | <short_description>Computes the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description> |
| − | <syntax>BB.HomNDgens(K:INT,OO:LIST):LIST</syntax> | + | |
| + | <syntax> | ||
| + | BB.HomNDgens(K:INT,OO:LIST):LIST | ||
| + | </syntax> | ||
<description> | <description> | ||
| − | Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of <ref>BB.NDneighbors | + | Computes the generators of the vanishing ideal of the homogeneous 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..Len(<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 BBS=K[c_{ij}].</item> |
</itemize> | </itemize> | ||
</description> | </description> | ||
<types> | <types> | ||
<type>borderbasis</type> | <type>borderbasis</type> | ||
| + | <type>ideal</type> | ||
</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.NDgens</see> | + | <see>ApCoCoA-1:BB.NDgens|BB.NDgens</see> |
<key>HomNDgens</key> | <key>HomNDgens</key> | ||
<key>BB.HomNDgens</key> | <key>BB.HomNDgens</key> | ||
<key>borderbasis.HomNDgens</key> | <key>borderbasis.HomNDgens</key> | ||
| − | <wiki-category>Package_borderbasis</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category> |
</command> | </command> | ||
Latest revision as of 09:41, 7 October 2020
| This article is about a function from ApCoCoA-1. |
BB.HomNDgens
Computes the generators of the vanishing ideal of a homogeneous border basis scheme.
Syntax
BB.HomNDgens(K:INT,OO:LIST):LIST
Description
Computes the generators of the vanishing ideal of the homogeneous 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}].
