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

From ApCoCoAWiki

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<command> | <command> | ||

<title>borderbasis.NDneighbors</title> | <title>borderbasis.NDneighbors</title> | ||

− | <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]] -------------------------------