discontinuity vs separation

discontinuity and separation both are nouns.

Word	Noun	Adjective	Verb	Adverb
discontinuity	Yes	No	No	No
separation	Yes	No	No	No

As nouns, separation is a hypernym of discontinuity; that is, separation is a word with a broader meaning than discontinuity:

discontinuity (noun)	separation (noun)
lack of connection or continuity	the social act of separating or parting company
	the act of dividing or disconnecting
	(law) the cessation of cohabitation of man and wife (either by mutual agreement or under a court order)
	sorting one thing from others
	the distance between things
	coming apart
	the termination of employment (by resignation or dismissal)
	the space where a division or parting occurs
	the state of lacking unity