pseudometric

[soo-doh-me-trik]

pseudometric Definition

a function that satisfies all the metric axioms except possibly the triangle inequality.

Using pseudometric: Examples

Take a moment to familiarize yourself with how "pseudometric" can be used in various situations through the following examples!

  • Example

    The pseudometric space is a generalization of metric spaces.

  • Example

    A pseudometric can be used to define a topology on a set.

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Summary: pseudometric in Brief

'Pseudometric' [soo-doh-me-trik] is a noun that refers to a function that satisfies all the metric axioms except possibly the triangle inequality. It is used to define a topology on a set and is a generalization of metric spaces.