ApCoCoA-1:BB.NDneighbors: Difference between revisions

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<command>
<command>
     <title>borderbasis.NDneighbors</title>
     <title>borderbasis.NDneighbors</title>
     <short_description>computes list of next-door neighbors</short_description>
     <short_description>list of next-door neighbors</short_description>
<syntax>
<syntax>
$borderbasis.NDneighbors(OO:LIST):LIST
$borderbasis.NDneighbors(OO:LIST):LIST
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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>.
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]);
$borderbasis.NDneighbors([1,x]);
[[3, 1, 1], [4, 2, 1]]
[[3, 1, 1], [4, 2, 1]]
-------------------------------
-------------------------------

Revision as of 20:42, 7 November 2007

borderbasis.NDneighbors

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

$borderbasis.NDneighbors([1,x]);
[[3, 1, 1], [4, 2, 1]]
-------------------------------

borderbasis.ASneighbors