unitCube_max-class {multIntTestFunc} | R Documentation |
An S4 class to represent the function \max(x_1,\ldots,x_n)
on [0,1]^n
Description
Implementation of the function
f \colon [0,1]^n \to [0,n],\, \vec{x} \mapsto f(\vec{x}) = \max(x_1,\ldots,x_n)
,
where n \in \{1,2,3,\ldots\}
is the dimension of the integration domain C_n = [0,1]^n
.
The integral is known to be
\int_{C_n} f(\vec{x}) d\vec{x} = \frac{n}{n+1}.
Details
The instance needs to be created with one parameter representing the dimension n
.
Slots
dim
An integer that captures the dimension
Author(s)
Klaus Herrmann
Examples
n <- as.integer(3)
f <- new("unitCube_max",dim=n)
[Package multIntTestFunc version 0.2.0 Index]