EuclideanSpace-class {distr}

Class "EuclideanSpace"

Description

The distribution-classes contain a slot where the sample space is stored. One typical sample space is the Euclidean Space in dimension k.

Usage

EuclideanSpace(dimension = 1)

Arguments

dimension

positive integer: dimension of the Euclidean space (default =1)

Objects from the Class

Objects could theoretically be created by calls of the form new("EuclideanSpace", dimension, name). Usually an object of this class is not needed on its own. EuclideanSpace is the mother-class of the class Reals, which is generated automatically when a univariate absolutly continuous distribution is instantiated.

Slots

dimension

Object of class "numeric": the dimension of the space, by default = 1

name

Object of class "character": the name of the space, by default = "Euclidean Space"

Extends

Class "rSpace", directly.

Methods

initialize

signature(.Object = "EuclideanSpace"): initialize method

liesIn

signature(object = "EuclideanSpace", x = "numeric"): Does a particular vector lie in this space or not?

dimension

signature(object = "EuclideanSpace"): returns the dimension of the space

dimension<-

signature(object = "EuclideanSpace"): modifies the dimension of the space

Author(s)

Thomas Stabla [e-mail],
Florian Camphausen [e-mail],
Peter Ruckdeschel [e-mail],
Matthias Kohl [e-mail]

See Also

rSpace-class Reals-class Distribution-class liesIn-methods

Examples

E <- EuclideanSpace(dimension = 2) 
dimension(E) # The dimension of this space is 2.
dimension(E) <- 3 # The dimension of this space is now 3.
liesIn(E,c(0,0,0)) # TRUE
liesIn(E,c(0,0)) # FALSE