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

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− | Computes the | + | Computes the "generic" border basis w.r.t. an order ideal <tt>OO</tt> i.e. the polynomials <tt>g_j = b_j - \sum_i c_{ij} * t_i</tt>. The output is a list of <tt>POLY</tt> in a "universal family ring" <tt>UF</tt> where <tt>UF=K[x_1,..,x_n,c_{ij}]</tt>. |

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<item>@param <em>OO</em> A list of terms representing an order ideal. The second element has to be of type <tt>POLY</tt>.</item> | <item>@param <em>OO</em> A list of terms representing an order ideal. The second element has to be of type <tt>POLY</tt>.</item> |

## Latest revision as of 13:27, 29 October 2020

This article is about a function from ApCoCoA-1. |

## BB.GenericBB

Computes a generic border basis.

### Syntax

BB.GenericBB(OO:LIST):LIST

### Description

Computes the "generic" border basis w.r.t. an order ideal `OO` i.e. the polynomials `g_j = b_j - \sum_i c_{ij} * t_i`. The output is a list of `POLY` in a "universal family ring" `UF` where `UF=K[x_1,..,x_n,c_{ij}]`.

@param

*OO*A list of terms representing an order ideal. The second element has to be of type`POLY`.@return A list of generic border basis polynomials w.r.t. to an order ideal

`OO`.