mathematical function vs metric

metric vs mathematical function

mathematical function and metric both are nouns.

mathematical function is not an adjective while metric is an adjective.

Word	Noun	Adjective	Verb	Adverb
mathematical function	Yes	No	No	No
metric	Yes	Yes	No	No

As nouns, metric is a hyponym of mathematical function; that is, metric is a word with a more specific, narrower meaning than mathematical function:

mathematical function: (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
metric: a function of a topological space that gives, for any two points in the space, a value equal to the distance between them

Other hyponyms of mathematical function include multinomial, polynomial, expansion, inverse function, Kronecker delta, metric function, transformation, isometry, operator, circular function, trigonometric function, threshold function, exponential, exponential function, linear function, onto function, surjection, surjective function, homothecy, homothety.

mathematical function (noun)	metric (noun)
(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)	a system of related measures that facilitates the quantification of some particular characteristic
	a decimal unit of measurement of the metric system (based on meters and kilograms and seconds)
	a function of a topological space that gives, for any two points in the space, a value equal to the distance between them

mathematical function (adjective)	metric (adjective)
	based on the meter as a standard of measurement
	the rhythmic arrangement of syllables

Difference between mathematical function and metric

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