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

From ApCoCoAWiki
(Types section update.)
(Description update.)
Line 1: Line 1:
 
<command>
 
<command>
    <title>BB.HomNDgens</title>
+
  <title>BB.HomNDgens</title>
    <short_description>Compute the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description>
+
  <short_description>Compute the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description>
<syntax>
+
  <syntax>BB.HomNDgens(K:INT,OO:LIST):LIST</syntax>
BB.HomNDgens(K:INT,OO:LIST):LIST
+
  <description>
</syntax>
+
Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of <ref>BB.NDneighbors</ref>(OO). The inputs are an integer K in the range 1..Len(<ref>BB.NDneighbors</ref>(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring BBS=K[c_{ij}].
    <description>
 
Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of NDneighbors(OO). The inputs are an integer K in the range 1..Len(NDneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring <formula>BBS=K[c_{ij}]</formula>.
 
 
<itemize>
 
<itemize>
   <item>@param <em>K</em> The generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by NDneighbors(OO) will be computed.</item>
+
   <item>@param <em>K</em> The generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by <ref>BB.NDneighbors</ref>(OO) will be computed.</item>
 
   <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 vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by NDneighbors(OO). The polynomials will belong to the ring BBS=K[c_{ij}].</item>
+
   <item>@return A list of generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by <ref>BB.NDneighbors</ref>(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>
<type>int</type>
+
    <type>int</type>
<type>integer</type>
+
    <type>integer</type>
</types>
+
  </types>
    <see>BB.ASgens</see>
+
  <see>BB.ASgens</see>
    <see>BB.HomASgens</see>
+
  <see>BB.HomASgens</see>
    <see>BB.NDgens</see>
+
  <see>BB.NDgens</see>
    <key>HomNDgens</key>
+
  <key>HomNDgens</key>
    <key>BB.HomNDgens</key>
+
  <key>BB.HomNDgens</key>
    <key>borderbasis.HomNDgens</key>
+
  <key>borderbasis.HomNDgens</key>
    <wiki-category>Package_borderbasis</wiki-category>
+
  <wiki-category>Package_borderbasis</wiki-category>
 
</command>
 
</command>

Revision as of 11:12, 24 April 2009

BB.HomNDgens

Compute the generators of the vanishing ideal of a homogeneous border basis scheme.

Syntax

BB.HomNDgens(K:INT,OO:LIST):LIST

Description

Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of BB.NDneighbors(OO). The inputs are an integer K in the range 1..Len(BB.NDneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring BBS=K[c_{ij}].

  • @param K The generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by BB.NDneighbors(OO) will be computed.

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

  • @return A list of generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by BB.NDneighbors(OO). The polynomials will belong to the ring BBS=K[c_{ij}].

BB.ASgens

BB.HomASgens

BB.NDgens