High Quality Content by WIKIPEDIA articles! In mathematics, an inframetric is a distance function between elements of a set that generalizes the notion of metric. It is defined by the following weaker version of the triangle inequality: d(x, z) ? ? max{d(x, y), d(y, z)} for some parameter ? ? 1. A set with an inframetric is called an inframetric space. This notion subsumes both standard metric spaces (1 ? ? ? 2) and ultrametric spaces (? = 1). Inframetrics were notably introduced to model internet round-trip delay times.

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