ThmDex – An index of mathematical definitions, results, and conjectures.

Result R5329 on D5783: ReLU function

Real arithmetic expression for ReLU function in terms of the maximum operation

Formulation 0

Let $x \in \mathbb{R}$ be a D993: Real number.

Then \begin{equation} x I_{x \in [0, \infty)} = \max(0, x) \end{equation}