ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Subset
▼ Power set
▼ Hyperpower set sequence
▼ Hyperpower set
▼ Hypersubset
▼ Subset algebra
▼ Subset structure
▼ Measurable space
▼ Measure space
▼ Pushforward measure
▼ Distribution measure
▼ Probability distribution measure
▼ Probability distribution function
Definition D6096
Continuous random real number
Results
▶ A continuous random real number is almost surely an irrational number
▶ Probability that a continuous random real number takes value in the rational numbers is zero