Definition:Non-Archimedean/Metric

Definition
A metric $d$ on a metric space $X$ is non-Archimedean iff:
 * $d \left({x, y}\right) \le \max \left\{ {d \left({x, z}\right), d \left({y, z}\right)} \right\}$

for all $x, y, z \in X$.