Description Details Slots Examples
Implementation of the function
f \colon [0,1]^n \to [0,1],\, \vec{x} \mapsto f(\vec{x}) = (\cos(\vec{x}\cdot\vec{v}))^2,
where n \in \{1,2,3,…\} is the dimension of the integration domain C_n = [0,1]^n and \vec{v} is a n-dimensional parameter vector where each entry is different from 0. The integral is known to be
\int_{C_n} f(\vec{x}) d\vec{x} = \frac{1}{2}+\frac{1}{2}\cos(∑_{j=1}^{n}v_j)∏_{j=1}^{n}\frac{\sin(v_j)}{v_j}.
The instance needs to be created with two parameters representing the dimension n and the n-dimensional parameter vector where each entry is different from 0.
dim
An integer that captures the dimension
coeffs
A vector of non-zero parameters
1 2 | n <- as.integer(3)
f <- new("unitCube_cos2",dim=n, coeffs=c(-1,2,-2))
|
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.