norm {compositions}

Vector space norm

Description

Each of the considered space structures has an associated norm, which is computed for each element by these functions.

Usage

## Default S3 method:
norm(x,...)
## S3 method for class 'acomp'
norm(x,...)
## S3 method for class 'rcomp'
norm(x,...)
## S3 method for class 'aplus'
norm(x,...)
## S3 method for class 'rplus'
norm(x,...)
## S3 method for class 'rmult'
norm(x,...)
## S3 method for class 'rmult'
norm(x,...)
          

Arguments

x

a dataset or a single vector of some type

...

currently not used, intended to select a different norm rule in the future

Value

The norms of the given vectors. ATTENTON: norm.matrix is a wrapper around base::norm

Author(s)

K.Gerald v.d. Boogaart http://www.stat.boogaart.de

See Also

normalize

Examples

data(SimulatedAmounts)
tmp <- acomp(sa.lognormals)
mvar(tmp)
sum(norm( tmp - mean(tmp) )^2)/(nrow(tmp)-1)