metric function
- noun
- /ˈmɛtrɪk ˈfʌŋkʃən/
- Specialized
- 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.
- 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
A rule that gives the distance between two points in a space
Surface Forms
Morphology
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.