ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Collection of sets
▼ Set union
▼ Successor set
▼ Inductive set
▼ Set of inductive sets
▼ Set of natural numbers
▼ Set of integers
▼ Set of rademacher integers
▼ Rademacher integer
▼ Rademacher random integer
▼ Standard rademacher random integer
▼ Standard gaussian random real number
▼ Gaussian random real number
▼ Folded gaussian random unsigned real number
Definition D4613
Standard folded gaussian random unsigned real number
Formulation 0
Let $G \in \text{Gaussian}(0, \sigma)$ be a D210: Gaussian random real number.
A D3161: Random real number $X \in \text{Random}(\mathbb{R})$ is a standard folded gaussian random unsigned real number with parameter $\sigma$ if and only if \begin{equation} X \overset{d}{=} |G| \end{equation}
Also known as
Half-folded gaussian random unsigned real number