formula vs mathematics

formula and mathematics both are nouns.

Word	Noun	Adjective	Verb	Adverb
formula	Yes	No	No	No
mathematics	Yes	No	No	No

formula (noun)	mathematics (noun)
something regarded as a normative example	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
(mathematics) a standard procedure for solving a class of mathematical problems
a group of symbols that make a mathematical statement
a conventionalized statement expressing some fundamental principle
directions for making something
a representation of a substance using symbols for its constituent elements
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