Difference between revisions of "ApCoCoA-1:BB.NDneighbors"
From ApCoCoAWiki
KHiddemann (talk | contribs) (adding formula tags) |
(Reviewed text and added example) |
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| Line 1: | Line 1: | ||
<command> | <command> | ||
<title>borderbasis.NDneighbors</title> | <title>borderbasis.NDneighbors</title> | ||
| − | <short_description> | + | <short_description>computes list of next-door neighbors</short_description> |
<syntax> | <syntax> | ||
$borderbasis.NDneighbors(OO:LIST):LIST | $borderbasis.NDneighbors(OO:LIST):LIST | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | Computes the list of next-door neighbors in the border of OO. The input is a list of terms OO | + | Computes the list of next-door neighbors in the border of the order ideal OO. The input is a list of terms OO that specify an order ideal. The output is a list of triples <formula>[i,j,k]</formula> such that <formula>b_i = x_k * b_j</formula>. |
| + | <example> | ||
| + | NDneighbors([1,x]); | ||
| + | [[3, 1, 1], [4, 2, 1]] | ||
| + | ------------------------------- | ||
| + | </example> | ||
</description> | </description> | ||
| + | <see>borderbasis.ASneighbors</see> | ||
<key>Kreuzer</key> | <key>Kreuzer</key> | ||
<key>borderbasis.ndneighbors</key> | <key>borderbasis.ndneighbors</key> | ||
Revision as of 20:25, 7 November 2007
borderbasis.NDneighbors
computes list of next-door neighbors
Syntax
$borderbasis.NDneighbors(OO:LIST):LIST
Description
Computes the list of next-door neighbors in the border of the order ideal OO. The input is a list of terms OO that specify an order ideal. The output is a list of triples <formula>[i,j,k]</formula> such that <formula>b_i = x_k * b_j</formula>.
Example
NDneighbors([1,x]); [[3, 1, 1], [4, 2, 1]] -------------------------------
