Definition:Chebyshev Distance/Real Number Plane

Definition
Let $\R^2$ be the real number plane.

The Chebyshev distance on $\R^2$ is defined as:


 * $\map {d_\infty} {x, y}:= \max \set {\size {x_1 - y_1}, \size {x_2 - y_2} }$

where $x = \tuple {x_1, x_2}, y = \tuple {y_1, y_2} \in \R^2$.

Also see

 * Chebyshev Distance on Real Vector Space is Metric