perturbation {nexus}

Perturbation Operation

Description

Perturbation of two compositions.

Usage

perturbation(x, y, ...)

## S4 method for signature 'numeric,numeric'
perturbation(x, y)

## S4 method for signature 'CompositionMatrix,numeric'
perturbation(x, y)

## S4 method for signature 'CompositionMatrix,matrix'
perturbation(x, y)

Arguments

x, y

A numeric vector of compositional data or a CompositionMatrix object.

...

Currently not used.

Details

In compositional geometry, perturbation plays the role of sum (translation). It is the closed component-wise product of two compositions.

Value

A numeric vector.

Author(s)

N. Frerebeau

See Also

Other operations in the simplex: arithmetic, closure(), powering(), scalar()

Examples

x <- as_composition(c(1, 2, 3))
y <- as_composition(c(1, 2, 1))

## Perturbation
perturbation(x, y)
x + y

## Powering
powering(y, 2)
y * 2

## Scalar product
scalar(x, y)