Difference between revisions of "ApCoCoA-1:BBF.Init"

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{{Version|1}}
 
<command>
 
<command>
    <title>BBF.Init</title>
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  <title>BBF.Init</title>
    <short_description>Initialize a border basis computation.</short_description>
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  <short_description>Initializes a border basis computation.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BBF.Init(I:IDEAL):NULL
 
BBF.Init(I:IDEAL):NULL
 
</syntax>
 
</syntax>
    <description>
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  <description>
 
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoABBFServer</em>. You will have to start the ApCoCoABBFServer in order to use it/them.
 
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoABBFServer</em>. You will have to start the ApCoCoABBFServer in order to use it/them.
 
<par/>
 
<par/>
Initialize an interactive border basis computation of the zero-dimensional input ideal <formula>I</formula> via the border basis framework.  
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This command initializes an interactive border basis computation of the zero-dimensional input ideal <tt>I</tt> via the border basis framework.  
 
<itemize>
 
<itemize>
 
   <item>@param <em>I</em> Zero-dimensional ideal of which to compute the border basis.</item>
 
   <item>@param <em>I</em> Zero-dimensional ideal of which to compute the border basis.</item>
 
</itemize>
 
</itemize>
 
<example>
 
<example>
Use Z/(32003)[x, y, z],DegLex;
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Use ZZ/(32003)[x, y, z],DegLex;
 
I:=Ideal(-4*x^2, -4*y^2, 5*z^2);
 
I:=Ideal(-4*x^2, -4*y^2, 5*z^2);
 
BBF.Init(I);
 
BBF.Init(I);
 
</example>
 
</example>
     </description>
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  </description>
     <see>BB.BBasis</see>
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  <types>
    <key>Init</key>
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     <type>ideal</type>
    <key>BBF.Init</key>
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     <type>borderbasis</type>
    <wiki-category>Package_bbf</wiki-category>
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  </types>
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  <see>ApCoCoA-1:BB.BBasis|BB.BBasis</see>
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  <key>Init</key>
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  <key>BBF.Init</key>
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  <wiki-category>ApCoCoA-1:Package_bbf</wiki-category>
 
</command>
 
</command>

Latest revision as of 09:47, 7 October 2020

This article is about a function from ApCoCoA-1.

BBF.Init

Initializes a border basis computation.

Syntax

BBF.Init(I:IDEAL):NULL

Description

Please note: The function(s) explained on this page is/are using the ApCoCoABBFServer. You will have to start the ApCoCoABBFServer in order to use it/them.

This command initializes an interactive border basis computation of the zero-dimensional input ideal I via the border basis framework.

  • @param I Zero-dimensional ideal of which to compute the border basis.

Example

Use ZZ/(32003)[x, y, z],DegLex;
I:=Ideal(-4*x^2, -4*y^2, 5*z^2);
BBF.Init(I);

BB.BBasis