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
Definition D5287
Standard rademacher random integer
Formulation 0
Let $X \in \text{Bernoulli}(1/2)$ be a D3999: Standard Bernoulli random boolean number.
A D5075: Random integer $R \in \text{Random} \{ -1, 1 \}$ is a standard rademacher random integer if and only if \begin{equation} R \overset{d}{=} 2 X - 1 \end{equation}
Children
▶ D211: Standard gaussian random real number