Definition:Non-Archimedean/Metric/Archimedean

Definition
A metric is Archimedean iff it is not non-Archimedean.

That is, iff:
 * $\exists x, y, z, \in X: d \left({x, y}\right) > \max \left\{ {d \left({x, z}\right), d \left({y, z}\right)} \right\}$

Also see

 * The $p$-adic metric is non-Archimedean.