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

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{{Version|1}}
 
<command>
 
<command>
    <title>borderbasis.Box</title>
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  <title>BB.Box</title>
    <short_description>Computes the "box" order ideal of type D=[D1,..,DN]</short_description>
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  <short_description>Computes a box order ideal.</short_description>
 +
 
 
<syntax>
 
<syntax>
$borderbasis.Box(D:LIST):LIST
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BB.Box(D:LIST):LIST
 
</syntax>
 
</syntax>
    <description>
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  <description>
Computes the "box" order ideal of type D=[D1,..,DN]. The input is a list of integers D of length <ttref>NumIndets</ttref>(). The output is a list of terms (sorted w.r.t. current TO).
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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.
     </description>
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<itemize>
     <key>Kreuzer</key>
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  <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>
    <key>borderbasis.box</key>
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  <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>
    <key>borderbasisbox</key>
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</itemize>
    <wiki-category>Package_borderbasis</wiki-category>
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<example>
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Use QQ[x,y,z];
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BB.Box([2,1,1]);
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[1, z, y, x, yz, xz, xy, x^2, xyz, x^2z, x^2y, x^2yz]
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-------------------------------
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</example>
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  </description>
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  <types>
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     <type>borderbasis</type>
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     <type>ideal</type>
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  </types>
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  <see>ApCoCoA-1:BB.Border|BB.Border</see>
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 +
  <key>Box</key>
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  <key>BB.Box</key>
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  <key>borderbasis.Box</key>
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  <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