ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Deduction system
Zermelo-Fraenkel set theory
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
Student's random real number
Definition D5282
Standard Cauchy random real number
Formulation 0
Let $X \in \text{Student}(1)$ be a D4861: Student's random real number.
A D3161: Random real number $C \in \text{Random}(\mathbb{R})$ is a standard Cauchy random real number if and only if \begin{equation} C \overset{d}{=} X \end{equation}