Technical term used in mathematics, physics, and formal contexts to describe a lack of continuity or a break in a sequence.
This function has a discontinuity.
A discontinuity in the geological strata was observed.
連続性 means continuity, the opposite of 非連続性.
不連続 is a more common term for discontinuity, often used as an adjective (不連続な) or in compounds like 不連続面. 非連続性 is a more formal, abstract noun emphasizing the property of being discontinuous.
Compound of 非 (hi, 'non-') + 連続 (renzoku, 'continuity') + 性 (sei, '-ness'). A straightforward Sino-Japanese technical term.