mathematics vs invariant

mathematics and invariant both are nouns.

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

mathematics (noun)	invariant (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement	a feature (quantity or property or function) that remains unchanged when a particular transformation is applied to it

mathematics (adjective)	invariant (adjective)
	unvarying in nature
	unaffected by a designated operation or transformation