ApCoCoA-1:BB.LiftHomAS: Difference between revisions

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<command>
<command>
    <title>BB.LiftHomAS</title>
  <title>BB.LiftHomAS</title>
    <short_description>Compute the homogeneous border basis scheme generators obtained from lifting of AS neighbors.</short_description>
  <short_description>Compute the homogeneous border basis scheme generators obtained from lifting of AS neighbors.</short_description>
<syntax>
  <syntax>BB.LiftHomAS(OO:LIST):LIST</syntax>
BB.LiftHomAS(OO:LIST):LIST
  <description>
</syntax>
Compute the equations defining the homogeneous border basis scheme and coming from the lifting of across-the-street neighbors. The input is a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring BBS=K[c_{ij}].
    <description>
Compute the equations defining the homogeneous border basis scheme and coming from the lifting of across-the-street neighbors. The input is a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring <formula>BBS=K[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 generators of the homogeneous border basis scheme ideal that results from the lifting of across-the-street neighbors in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].</item>
   <item>@return A list of generators of the homogeneous border basis scheme ideal that results from the lifting of across-the-street neighbors in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].</item>
</itemize>
</itemize>
    </description>
  </description>
<types>
  <types>
<type>list</type>
    <type>list</type>
</types>
  </types>
    <see>BB.LiftAS</see>
  <see>BB.LiftAS</see>
    <see>BB.LiftASViaServer</see>
  <see>BB.LiftASViaServer</see>
    <see>BB.LiftND</see>
  <see>BB.LiftND</see>
    <see>BB.LiftNDViaServer</see>
  <see>BB.LiftNDViaServer</see>
    <see>BB.LiftHomND</see>
  <see>BB.LiftHomND</see>
    <key>LiftHomAS</key>
  <key>LiftHomAS</key>
    <key>BB.LiftHomAS</key>
  <key>BB.LiftHomAS</key>
    <key>borderbasis.LiftHomAS</key>
  <key>borderbasis.LiftHomAS</key>
    <wiki-category>Package_borderbasis</wiki-category>
  <wiki-category>Package_borderbasis</wiki-category>
</command>
</command>

Revision as of 11:40, 24 April 2009

BB.LiftHomAS

Compute the homogeneous border basis scheme generators obtained from lifting of AS neighbors.

Syntax

BB.LiftHomAS(OO:LIST):LIST

Description

Compute the equations defining the homogeneous border basis scheme and coming from the lifting of across-the-street neighbors. The input is a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring BBS=K[c_{ij}].

  • @param OO A list of terms representing an order ideal.

  • @return A list of generators of the homogeneous border basis scheme ideal that results from the lifting of across-the-street neighbors in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].

BB.LiftAS

BB.LiftASViaServer

BB.LiftND

BB.LiftNDViaServer

BB.LiftHomND