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

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     <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>.
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Computes the list of next-door neighbors in the border of the order ideal OO. The input is a list OO of terms 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>
 
<example>
 
NDneighbors([1,x]);
 
NDneighbors([1,x]);

Revision as of 20:27, 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 OO of terms 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