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

From ApCoCoAWiki
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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>
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   <short_description>Computes the homogeneous border basis scheme generators obtained from lifting of AS neighbours.</short_description>
 
    
 
    
 
<syntax>
 
<syntax>
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</syntax>
 
</syntax>
 
   <description>
 
   <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}].
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Compute the equations defining the homogeneous border basis scheme and coming from the lifting of across-the-street neighbours. 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}].
 
<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>
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   <item>@return A list of generators of the homogeneous border basis scheme ideal that results from the lifting of across-the-street neighbours in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].</item>
 
</itemize>
 
</itemize>
 
   </description>
 
   </description>

Revision as of 12:49, 28 April 2009

BB.LiftHomAS

Computes the homogeneous border basis scheme generators obtained from lifting of AS neighbours.

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 neighbours. 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 neighbours 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