Rn_Gauss-class: An S4 class to represent the function...

In multIntTestFunc: Provides Test Functions for Multivariate Integration

Description

Implementation of the function

f \colon R^n \to (0,∞),\, \vec{x} \mapsto f(\vec{x}) = \exp(-\vec{x}\cdot\vec{x}) = \exp(-∑_{i=1}^n x_i^2),

where n \in \{1,2,3,…\} is the dimension of the integration domain R^n = \times_{i=1}^n R. In this case the integral is know to be

\int_{R^n} f(\vec{x}) d\vec{x} = π^{n/2}.

Details

The instance needs to be created with one parameter representing n.

Slots

dim

An integer that captures the dimension

Examples

n <- as.integer(3)
f <- new("Rn_Gauss",dim=n)

multIntTestFunc documentation built on Oct. 5, 2021, 5:08 p.m.