Definition:Max Operation/General Definition

$max$ $\in \R^n → ℝ$, n ≥ 1.

$x_1, \ldots, x_n ↦ \begin{cases} x_1 & : n = 1 \\ MaxOperation(x_1,x_2) & : n = 2 \\ max(max(x_1,…,x_{n-1}),x_n) & : n > 2 \end{cases}$

$MaxOperation$ is defined here.