ApCoCoA-1:BBF.Init: Difference between revisions

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{{Version|1}}
<command>
<command>
    <title>BBF.Init</title>
  <title>BBF.Init</title>
    <short_description>initialize border basis computation</short_description>
  <short_description>Initializes a border basis computation.</short_description>
 
<syntax>
<syntax>
BBF.Init(I:IDEAL):NULL
BBF.Init(I:IDEAL):NULL
</syntax>
</syntax>
    <description>
  <description>
Initialize an interactive border basis computation of the zero-dimensional input ideal <formula>I</formula> via the border basis framework. Please note that in order to use this function you have to start the ApCoCoABBFServer.
<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/>
This command initializes an interactive border basis computation of the zero-dimensional input ideal <tt>I</tt> via the border basis framework.  
<itemize>
  <item>@param <em>I</em> Zero-dimensional ideal of which to compute the border basis.</item>
</itemize>
<example>
<example>
Use Z/(32003)[x, y, z],DegLex;
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>
  </description>
     <see>Border Basis Framework overview</see>
  <types>
     <see>BBasis</see>
     <type>ideal</type>
    <key>kaspar</key>
     <type>borderbasis</type>
    <key>bbf.init</key>
  </types>
    <wiki-category>Package_bbf</wiki-category>
  <see>ApCoCoA-1:BB.BBasis|BB.BBasis</see>
  <key>Init</key>
  <key>BBF.Init</key>
  <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