Difference between revisions of "ApCoCoA-1:BB.GenericBB"
From ApCoCoAWiki
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<command> | <command> | ||
| − | + | <title>BB.GenericBB</title> | |
| − | + | <short_description>Computes a generic border basis.</short_description> | |
| + | |||
<syntax> | <syntax> | ||
BB.GenericBB(OO:LIST):LIST | BB.GenericBB(OO:LIST):LIST | ||
</syntax> | </syntax> | ||
| − | + | <description> | |
| − | 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>. |
<itemize> | <itemize> | ||
| − | <item>@param <em>OO</em> A list of terms representing an order ideal.</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> |
| − | <item>@return A list of generic border basis polynomials w.r.t. to an order ideal OO | + | <item>@return A list of generic border basis polynomials w.r.t. to an order ideal <tt>OO</tt>. </item> |
</itemize> | </itemize> | ||
| − | + | </description> | |
| − | <types> | + | <types> |
| − | <type> | + | <type>borderbasis</type> |
| − | </types> | + | </types> |
| − | + | <key>GenericBB</key> | |
| − | + | <key>BB.GenericBB</key> | |
| − | + | <key>borderbasis.GenericBB</key> | |
| − | + | <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category> | |
</command> | </command> | ||
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.
