Difference between revisions of "ApCoCoA-1:Num.IsAVI"
From ApCoCoAWiki
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− | Num.IsAVI([x | + | Use P::=Q[x,y,z]; |
+ | Num.IsAVI([x+1,x^2],[[0]],0.1); | ||
-- CoCoAServer: computing Cpu Time = 0 | -- CoCoAServer: computing Cpu Time = 0 | ||
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Revision as of 09:22, 27 April 2009
Num.IsAVI
Checks if a given set of polynomials vanishes at a given set of points.
Syntax
Num.IsAVI(Polys:LIST, Points:MAT, Epsilon:RAT):[A:INT or RAT,B:INT or 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.
Checks if a set of polynomials vanishes at a set of points epsilon approximately. The polynomials are preprocessed first to have norm 1.
@param Polys A list of polynomials.
@param Points A matrix containing the points to check.
@param Epsilon Rational number
@return A number A which specifies how well the points vanish on average and a number B which contains the maximal evaluation value
Example
Use P::=Q[x,y,z]; Num.IsAVI([x+1,x^2],[[0]],0.1); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [1/2, 1] -------------------------------
See also