unitCube_BFN2-class: An S4 class to represent the function prod^{n}_{i=1}...
In multIntTestFunc: Provides Test Functions for Multivariate Integration
unitCube_BFN2-class R Documentation
An S4 class to represent the function \prod^{n}_{i=1} i\cos(ix_i) on [0,1]^n
Description
Implementation of the function
f \colon [0,1]^n \to (-\infty,\infty),\, \vec{x} \mapsto f(\vec{x}) = \prod^{n}_{i=1} i\cos(ix_i)
,
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} = \prod^{n}_{i=1}\sin(i).
Details
The instance needs to be created with one parameter representing the dimension n.
Slots
dimAn integer that captures the dimension
Author(s)
Klaus Herrmann
Examples
n <- as.integer(3)
f <- new("unitCube_BFN2",dim=n)
multIntTestFunc documentation built on Sept. 11, 2024, 5:18 p.m.
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| unitCube_BFN2-class | R Documentation |
An S4 class to represent the function \prod^{n}_{i=1} i\cos(ix_i) on [0,1]^n
Description
Implementation of the function
f \colon [0,1]^n \to (-\infty,\infty),\, \vec{x} \mapsto f(\vec{x}) = \prod^{n}_{i=1} i\cos(ix_i)
,
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} = \prod^{n}_{i=1}\sin(i).
Details
The instance needs to be created with one parameter representing the dimension n.
Slots
dimAn integer that captures the dimension
Author(s)
Klaus Herrmann
Examples
n <- as.integer(3)
f <- new("unitCube_BFN2",dim=n)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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