ApCoCoA-1:BB.Box: Difference between revisions
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{{Version|1}} | |||
<command> | <command> | ||
<title>BB.Box</title> | |||
<short_description>Computes a box order ideal.</short_description> | |||
<syntax> | <syntax> | ||
BB.Box(D:LIST):LIST | BB.Box(D:LIST):LIST | ||
</syntax> | </syntax> | ||
<description> | |||
Computes the box order ideal of type < | 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 | 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> | ||
<see>BB.Border</see> | <types> | ||
<type>borderbasis</type> | |||
<type>ideal</type> | |||
</types> | |||
<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] -------------------------------
