ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F1046 on D412: Absolute value function
F1046
Formulation 0
The absolute value function is the D4367: Unsigned real function \begin{equation} \mathbb{R} \to [0, \infty), \quad x \mapsto \begin{cases} x, \quad & x \geq 0 \\ -x, \quad & x < 0 \end{cases} \end{equation}