commute vs mathematics

commute and mathematics both are nouns.

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

commute (noun)	mathematics (noun)
a regular journey of some distance to and from your place of work	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

commute (verb)	mathematics (verb)
change the order or arrangement of
exchange a penalty for a less severe one
exchange or replace with another, usually of the same kind or category
exchange positions without a change in value
travel back and forth regularly, as between one's place of work and home