metric function

Mathematical function that defines a distance between elements of a set

EntityQ865746

Also known as distance function · metric · distance metric · distance

Subclass of: function
, symmetric function
Part of: metric space

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a metric space is a set together with a notion of distance between its points. The distance is measured by a function called a metric or distance function. Metric spaces are a general setting for studying many of the concepts of mathematical analysis and geometry.

Overview

All data

18 statements · 6% with external sources · numbers in brackets are citations

Defining formula: d : X \times X \to [0,\infty)
Different from: measure
Metrika
Image of function: set of non-negative real numbers
Has characteristic: symmetry
subadditivity
Invariant under: isometry

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10 identifiers linking metric function across the web's reference databases

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statements

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Source last edited September 7, 2026. AIDB refreshes this page daily.

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AIDB. (2026). metric function (Q865746). Retrieved from https://aidb.si/e/metric-function-Q865746