Difference between revisions of "ApCoCoA-1:BB.NDneighbors"

From ApCoCoAWiki
(adding formula tags)
(Reviewed text and added example)
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<command>
 
<command>
 
     <title>borderbasis.NDneighbors</title>
 
     <title>borderbasis.NDneighbors</title>
     <short_description>Computes list of ND neighbors in border of OO</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 (2nd element of type POLY). The output is a list of triples <formula>[i,j,k]</formula> s.t. <formula>b_i = x_k * b_j</formula>.
+
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]]
-------------------------------

borderbasis.ASneighbors