Definition:Chebyshev Distance/Real Number Plane

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

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


 * $\displaystyle d_\infty \left({x, y}\right):= \max \left\{ {\left\vert{x_1 - y_1}\right\vert, \left\vert{x_2 - y_2}\right\vert}\right\}$

where $x = \left({x_1, x_2}\right), y = \left({y_1, y_2}\right) \in \R^2$.

Also see

 * Chebyshev Distance on Real Vector Space is Metric