@hackage / ms

metric spaces

Latest0.2.1

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  • Last updated , by RickyElrod
  • License BSD-2-Clause
  • Categories Mathematics

  • Maintained by: ricky@elrod.me

  • Lottery factor: 0

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A MetricSpace is a set together with a notion of distance between elements. Distance is computed by a function dist which has the following four laws:

  1. non-negative: forall x y. dist x y >= 0

  2. identity of indiscernibles: forall x y. dist x y == 0 <=> x == y

  3. symmetry: forall x y. dist x y == dist y x

  4. triangle inequality: forall x y z. dist x z <= dist x y + dist y z

See the Wikipedia article on metric spaces for more details.