Definition
A pseudometric space is a set together with a non-negative real-valued function (called a pseudometric) such that, for every ,
- .
- (symmetry)
- (subadditivity/triangle inequality)
Unlike a metric space, points in a pseudometric space need not be distinguishable; that is, one may have for distinct values .
Read more about this topic: Pseudometric Space
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—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)
“One definition of man is “an intelligence served by organs.””
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