mathematical function vs polynomial

polynomial vs mathematical function

mathematical function and polynomial both are nouns.

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

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

As nouns, polynomial is a hyponym of mathematical function; that is, polynomial 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)
polynomial: a mathematical function that is the sum of a number of terms

Other hyponyms of mathematical function include multinomial, expansion, inverse function, Kronecker delta, metric, 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)	polynomial (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 mathematical function that is the sum of a number of terms

mathematical function (adjective)	polynomial (adjective)
	having the character of a polynomial

Difference between mathematical function and polynomial

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