ApCoCoA-1:BB.GenericHomBB: Difference between revisions

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<command>
<command>
    <title>BB.GenericHomBB</title>
  <title>BB.GenericHomBB</title>
    <short_description>Compute a generic homogeneous border basis.</short_description>
  <short_description>Compute a generic homogeneous border basis.</short_description>
<syntax>
  <syntax>BB.GenericHomBB(OO:LIST):LIST</syntax>
BB.GenericHomBB(OO:LIST):LIST
  <description>
</syntax>
Computes the <quotes>generic</quotes> homogeneous border basis w.r.t. an order ideal OO. 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 UF=K[x_1,..,x_n,c_{ij}].
    <description>
Computes the <quotes>generic</quotes> homogeneous border basis w.r.t. an order ideal OO. 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>.
<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.</item>
   <item>@return A list of generic homogeneous border basis polynomials w.r.t. to an order ideal OO. The polynomials will belong to the ring UF = K[x_1,..,x_n,c_{ij}].</item>
   <item>@return A list of generic homogeneous border basis polynomials w.r.t. to an order ideal OO. The polynomials will belong to the ring UF=K[x_1,..,x_n,c_{ij}].</item>
</itemize>
</itemize>
    </description>
  </description>
<types>
  <types>
<type>list</type>
    <type>list</type>
</types>
  </types>
    <key>GenericHomBB</key>
  <key>GenericHomBB</key>
    <key>BB.GenericHomBB</key>
  <key>BB.GenericHomBB</key>
    <key>borderbasis.GenericHomBB</key>
  <key>borderbasis.GenericHomBB</key>
    <wiki-category>Package_borderbasis</wiki-category>
  <wiki-category>Package_borderbasis</wiki-category>
</command>
</command>

Revision as of 11:18, 24 April 2009

BB.GenericHomBB

Compute a generic homogeneous border basis.

Syntax

BB.GenericHomBB(OO:LIST):LIST

Description

Computes the "generic" homogeneous border basis w.r.t. an order ideal OO. The input is a list of terms OO (2nd element of type POLY). 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.

  • @return A list of generic homogeneous border basis polynomials w.r.t. to an order ideal OO. The polynomials will belong to the ring UF=K[x_1,..,x_n,c_{ij}].