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metric function

metric function

9.0
A function that gives the distance between two points in a space
  • noun
  • /ˈmɛtrɪk ˈfʌŋkʃən/
  • Specialized
translation icon : función métrica
  • In topology, a metric function is used to measure the distance between two points in a space.

And that implies that globally you can always write down a metric function which is quadratic, as Gauss said.

Examples

  • And that implies that globally you can always write down a metric function which is quadratic, as Gauss said.

  • The professor explained how to use a metric function to calculate distances in Euclidean geometry.

  • Understanding the concept of a metric function is essential for analyzing spaces in advanced mathematics.

Synonyms

metric
vsmetric function
  • Specialized
10 7.5

A rule that gives the distance between two points in a space

has identical meaning but uses a longer two-word form

Surface Forms

Morphology

metric + function

The phrase is compositionally built from 'metric' (relating to measurement/distance) and 'function' (a mapping), so a learner who knows both constituents can infer it denotes a mapping that defines distances. This noun–noun technical compound follows regular English formation (cf. 'distance function') and is cross-linguistically parallel, making it transparently interpretable.

Etymology

The term metric function is like a math ruler: a metric (a way to 'measure') and a function (a simple rule) that together 'measure' the 'distance' between two points. That's why a metric function tells us whether points are close or far.