# ApCoCoA-1:Num.IsAVI

From ApCoCoAWiki

## 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

Num.IsAVI([x[1]+1,x[1]^2],[[0]],0.1); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [1/2, 1] -------------------------------

### See also