Definition:Taxicab Metric/Real Number Plane

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

The taxicab metric on $\R^2$ is defined as:


 * $\map {d_1} {x, y} := \size {x_1 - y_1} + \size {x_2 - y_2}$

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

Also see

 * Taxicab Metric on Real Vector Space is Metric