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

From ApCoCoAWiki
(new alias)
m (insert version info)
 
(16 intermediate revisions by 6 users not shown)
Line 1: Line 1:
 +
{{Version|1}}
 
<command>
 
<command>
    <title>BB.Box</title>
+
  <title>BB.Box</title>
    <short_description>box order ideal</short_description>
+
  <short_description>Computes a box order ideal.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BB.Box(D:LIST):LIST
 
BB.Box(D:LIST):LIST
 
</syntax>
 
</syntax>
    <description>
+
  <description>
Computes the box order ideal of type <formula>D=[D_1,..,D_N]</formula>. The input is a list of integers D of length NumIndets(). The output is a list of terms sorted with respect to the current term ordering.
+
Computes the box order ideal of type <tt>D=[D_1,..,D_N]</tt>. The input is a list of integers <tt>D</tt> of length <ref>ApCoCoA-1:NumIndets|NumIndets</ref>(). The output is a list of terms sorted in ascending order with respect to the current term ordering.
 +
<itemize>
 +
  <item>@param <em>D</em> List of integer values representing an exponent vector of a term. The order ideal spanned by the term represented by this exponent vector will be computed.</item>
 +
  <item>@return A list of terms of the order ideal spanned by the term represented by the exponent vector <tt>D</tt>, sorted in ascending order w.r.t. the current term ordering.</item>
 +
</itemize>
 
<example>
 
<example>
Use Q[x,y,z];
+
Use QQ[x,y,z];
 
BB.Box([2,1,1]);
 
BB.Box([2,1,1]);
[1, x]
+
 
 +
[1, z, y, x, yz, xz, xy, x^2, xyz, x^2z, x^2y, x^2yz]
 
-------------------------------
 
-------------------------------
 
</example>
 
</example>
     </description>
+
  </description>
     <see>BB.Border</see>
+
  <types>
    <key>kreuzer</key>
+
     <type>borderbasis</type>
    <key>bb.box</key>
+
     <type>ideal</type>
    <key>borderbasis.box</key>
+
  </types>
    <wiki-category>Package_borderbasis</wiki-category>
+
  <see>ApCoCoA-1:BB.Border|BB.Border</see>
 +
 
 +
  <key>Box</key>
 +
  <key>BB.Box</key>
 +
  <key>borderbasis.Box</key>
 +
  <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category>
 
</command>
 
</command>

Latest revision as of 09:40, 7 October 2020

This article is about a function from ApCoCoA-1.

BB.Box

Computes a box order ideal.

Syntax

BB.Box(D:LIST):LIST

Description

Computes the box order ideal of type D=[D_1,..,D_N]. The input is a list of integers D of length NumIndets(). The output is a list of terms sorted in ascending order with respect to the current term ordering.

  • @param D List of integer values representing an exponent vector of a term. The order ideal spanned by the term represented by this exponent vector will be computed.

  • @return A list of terms of the order ideal spanned by the term represented by the exponent vector D, sorted in ascending order w.r.t. the current term ordering.

Example

Use QQ[x,y,z];
BB.Box([2,1,1]);

[1, z, y, x, yz, xz, xy, x^2, xyz, x^2z, x^2y, x^2yz]
-------------------------------

BB.Border