# EuclideanSpace-class

From distr v2.6
0th

Percentile

##### Class "EuclideanSpace"

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

Keywords
distribution
##### 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

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

##### Aliases
• EuclideanSpace
• EuclideanSpace-class
• initialize,EuclideanSpace-method
##### 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

Documentation reproduced from package distr, version 2.6, License: LGPL-3

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