# EuclideanSpace-class

##### 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

##### See Also

##### Examples

```
# NOT RUN {
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 2.8.0, License: LGPL-3*