mathematics vs diverge

mathematics is a noun but diverge is not a noun.

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

mathematics (noun)	diverge (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

mathematics (verb)	diverge (verb)
	move or draw apart
	extend in a different direction
	be at variance with; be out of line with
	have no limits as a mathematical series