ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F8835 on D412: Absolute value function
F8835
Formulation 1
The absolute value function is the D4367: Unsigned real function \begin{equation} \mathbb{R} \to [0, \infty), \quad x \mapsto x I_{[0, \infty)}(x) - x I_{(- \infty, 0)}(x) \end{equation}