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

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(little cleanup)
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</syntax>
 
</syntax>
 
     <description>
 
     <description>
The function <tt>BBasis</tt> calls the ApCoCoAServer to compute
+
The function <tt>BBasis</tt> calls the ApCoCoAServer to compute the border basis of a zero dimensional ideal I. The input is a zero-dimensional ideal I. The output is a list of polynomials.
the border basis of a zero dimensional ideal I.
 
  
 
<example>
 
<example>
 
Use Q[x, y], DegLex;
 
Use Q[x, y], DegLex;
I := Ideal([x^2, xy + y2]);
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I := Ideal([x^2, xy + y^2]);
BB := BBasis(I);
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BB := BBasis5(I);
 +
-- CoCoAServer: computing Cpu Time = 0
 +
-------------------------------
 +
BB;
 +
[xy + y^2, x^2, y^3, xy^2]
 +
-------------------------------
 
</example>
 
</example>
 
     </description>
 
     </description>
    <seealso>
 
 
       <see>GBasis5, and more</see>
 
       <see>GBasis5, and more</see>
    </seealso>
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      <see>borderbasis.BorderBasis</see>
 
     <types>
 
     <types>
 
       <type>ideal</type>
 
       <type>ideal</type>

Revision as of 22:55, 7 November 2007

BBasis

border basis of a zero dimensional ideal

Syntax

BBasis(I:IDEAL):LIST

Description

The function BBasis calls the ApCoCoAServer to compute the border basis of a zero dimensional ideal I. The input is a zero-dimensional ideal I. The output is a list of polynomials.

Example

Use Q[x, y], DegLex;
I := Ideal([x^2, xy + y^2]);
BB := BBasis5(I);
-- CoCoAServer: computing Cpu Time = 0
-------------------------------
BB;
[xy + y^2, x^2, y^3, xy^2]
-------------------------------

GBasis5, and more

borderbasis.BorderBasis