Difference between revisions of "ApCoCoA-1:BB.Box"
From ApCoCoAWiki
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| + | {{Version|1}} | ||
<command> | <command> | ||
<title>BB.Box</title> | <title>BB.Box</title> | ||
| − | <short_description> | + | <short_description>Computes a box order ideal.</short_description> |
| − | <syntax>BB.Box(D:LIST):LIST</syntax> | + | |
| + | <syntax> | ||
| + | BB.Box(D:LIST):LIST | ||
| + | </syntax> | ||
<description> | <description> | ||
| − | Computes the box order ideal of type D=[D_1,..,D_N]. The input is a list of integers D of length <ref>NumIndets</ref>(). The output is a list of terms sorted in ascending order 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> | <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>@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 D, sorted in ascending order w.r.t. the current term ordering.</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> | </itemize> | ||
<example> | <example> | ||
Use QQ[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> | ||
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<types> | <types> | ||
<type>borderbasis</type> | <type>borderbasis</type> | ||
| + | <type>ideal</type> | ||
</types> | </types> | ||
| − | <see>BB.Border</see> | + | <see>ApCoCoA-1:BB.Border|BB.Border</see> |
<key>Box</key> | <key>Box</key> | ||
<key>BB.Box</key> | <key>BB.Box</key> | ||
<key>borderbasis.Box</key> | <key>borderbasis.Box</key> | ||
| − | <wiki-category>Package_borderbasis</wiki-category> | + | <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] -------------------------------
