perturbation function

Perturbation Operation

Perturbation of two compositions. methods

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.

Returns

A numeric vector.

Details

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

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)

See Also

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

Author(s)

N. Frerebeau