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

From ApCoCoAWiki
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{{Version|1}}
 
<command>
 
<command>
    <title>BB.GenericBB</title>
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  <title>BB.GenericBB</title>
    <short_description>generic border basis</short_description>
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  <short_description>Computes a generic border basis.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BB.GenericBB(OO:LIST):LIST
 
BB.GenericBB(OO:LIST):LIST
 
</syntax>
 
</syntax>
    <description>
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  <description>
Computes the <quotes>generic</quotes> border basis w.r.t. an order ideal OO i.e. the polys <formula>g_j = b_j - \sum_i c_{ij} t_i</formula>. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a <quotes>universal family ring</quotes> UF where <formula>UF = K[x_1,..,x_n,c_{ij}]</formula>.
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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>.
    </description>
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<itemize>
     <key>kreuzer</key>
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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>
    <key>bb.genericbb</key>
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  <item>@return A list of generic border basis polynomials w.r.t. to an order ideal <tt>OO</tt>. </item>
    <key>borderbasis.genericbb</key>
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</itemize>
    <wiki-category>Package_borderbasis</wiki-category>
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  </description>
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  <types>
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     <type>borderbasis</type>
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  </types>
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  <key>GenericBB</key>
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  <key>BB.GenericBB</key>
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  <key>borderbasis.GenericBB</key>
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  <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.