ThmDex – An index of mathematical definitions, results, and conjectures.
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Zermelo-Fraenkel set theory
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Unsigned basic measure
Unsigned basic integral measure
Radon-Nikodym derivative
Probability density function
Standard uniform basic real density function
Definition D5891
Standard unsigned uniform real density function
Formulation 0
The standard unsigned uniform real density function is the D218: Boolean function \begin{equation} \mathbb{R} \to \{ 0, 1 \}, \quad x \mapsto I_{[0, 1]} (x) \end{equation}
Formulation 1
The standard unsigned uniform real density function is the D218: Boolean function \begin{equation} \mathbb{R} \to \{ 0, 1 \}, \quad x \mapsto I_{x \in [0, 1]} \end{equation}