Nothing

```
### Internal functions for cov4 and ics
### covariance matrix based on 4th moments wrt to the mean vector
### subroutine of cov4
###
.cov4moments.mean<-function(X)
{
p<-dim(X)[2]
n<-dim(X)[1]
data.centered<-sweep(X,2,colMeans(X),"-")
Sigma.data.sqrt<-mat.sqrt(cov(X))
radius<-sqrt(rowSums((data.centered %*% solve(Sigma.data.sqrt))^2))
y<-radius*data.centered
V<-(1/(n*(p+2)))*crossprod(y)
return(V)
}
### covariance matrix based on 4th moments wrt to origin
### subroutine of cov4
###
.cov4moments.origin<-function(X)
{
p<-dim(X)[2]
n<-dim(X)[1]
Sigma.data.sqrt<-mat.sqrt(covOrigin(X))
radius<-sqrt(rowSums((X %*% solve(Sigma.data.sqrt))^2))
V<-(1/(p+2))*covOrigin(radius*X)
return(V)
}
### Sign of the maximum element of a vector
### returns 1 if the absolute largest value is positive and -1 otherwise
### subroutine in ics
.sign.max<-function(x)
{
ifelse(identical(max(x),max(abs(x))),1,-1)
}
```

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