ApCoCoA-1:Num.IsAppBB: Difference between revisions

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     <short_description>Checks if a given set of polynomials is an approximate border basis.</short_description>
     <short_description>Checks if a given set of polynomials is an approximate border basis.</short_description>
<syntax>
<syntax>
Num.IsAppBB(Polys:LIST, OI:LIST, Epsilon:RAT):RAT;
Num.IsAppBB(Polys:LIST, OI:LIST, Epsilon:RAT):RAT
</syntax>
</syntax>
     <description>
     <description>
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them.
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them.
<par/>
<par/>
Checks if a set of polynomials is an approximate border basis with respect to an order ideal.  
This command checks if a set of polynomials is an approximate border basis with respect to an order ideal and a threshold number <tt>Epsilon</tt>.
<itemize>
<itemize>
<item>@param <em>Polys</em> A list of polynomials.</item>
<item>@param <em>Polys</em> A list of polynomials.</item>
<item>@param <em>OI</em> A list containing the order ideal.</item>
<item>@param <em>OI</em> A list containing the order ideal.</item>
<item>@param <em>Epsilon</em> Rational number</item>
<item>@param <em>Epsilon</em> Rational number</item>
<item>@return A number which specifies how close the Polys are to an exact border basis</item>
<item>@return A number which specifies how close the given polynomials are to an exact border basis</item>
</itemize>
</itemize>



Revision as of 09:22, 8 July 2009

Num.IsAppBB

Checks if a given set of polynomials is an approximate border basis.

Syntax

Num.IsAppBB(Polys:LIST, OI:LIST, Epsilon:RAT):RAT

Description

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

This command checks if a set of polynomials is an approximate border basis with respect to an order ideal and a threshold number Epsilon.

  • @param Polys A list of polynomials.

  • @param OI A list containing the order ideal.

  • @param Epsilon Rational number

  • @return A number which specifies how close the given polynomials are to an exact border basis

Example

Use P::=QQ[x,y];
Res := Num.AVI([[1,1],[0,1]],0);
Num.IsAppBB(Res[1],Res[2],0.1);
-- CoCoAServer: computing Cpu Time = 0.031
-------------------------------
-- CoCoAServer: computing Cpu Time = 0
-------------------------------
0
-------------------------------

See also

Introduction to CoCoAServer