Usually means: Distance function allowing zero between distinct points.
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We found 4 dictionaries that define the word pseudometric:

General (1 matching dictionary)
  1. pseudometric: Wiktionary

Computing (1 matching dictionary)
  1. pseudometric: Encyclopedia

Science (2 matching dictionaries)
  1. Pseudometric: Eric Weisstein's World of Mathematics
  2. pseudometric: PlanetMath Encyclopedia

Definitions from Wiktionary (pseudometric)

adjective:  (mathematics) Describing a generalization of a metric space in which the distance between two distinct points can be zero.

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