Definition:Taxicab Metric/Real Number Plane

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

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


 * $\displaystyle d_1 \left({x, y}\right) := \left\vert {x_1 - y_1}\right\vert + \left\vert {x_2 - y_2}\right\vert$

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

Also see

 * Taxicab Metric on Real Vector Space is Metric