Description Details Slots Examples
Implementation of the function
f \colon R^n \to [1,∞),\, \vec{x} \mapsto f(\vec{x}) = \frac{Γ(n/2+1)}{π^{n/2}(1+\lfloor \Vert \vec{x} \Vert_2^n \rfloor)^s},
where n \in \{1,2,3,…\} is the dimension of the integration domain R^n = \times_{i=1}^n R and s>1 is a paramter. In this case the integral is know to be
\int_{R^n} f(\vec{x}) d\vec{x} = ζ(s),
where ζ(s) is the Riemann zeta function.
The instance needs to be created with two parameters representing n and s.
dim
An integer that captures the dimension
s
A numeric value bigger than 1 representing a power
1 2 | n <- as.integer(3)
f <- new("Rn_floorNorm",dim=n,s=2)
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