ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Function
Symmetric stable function
Basic real gaussian function
Definition D5634
Standard real gaussian function
Formulation 0
Let $\mathbb{R}^N$ be a D5630: Set of euclidean real numbers.
The standard real gaussian function on $\mathbb{R}^N$ is the D4364: Real function \begin{equation} \mathbb{R}^N \to (0, 1], \quad x \mapsto e^{- |x|^2} \end{equation}