What does discontinuity mean?
Discontinuity is a noun describing a break in what might otherwise be continuous — a gap, interruption, or abrupt change in a sequence, surface, or stretch of time. It appears wherever smoothness gives way to suddenness: geologists speak of discontinuities between rock strata, historians of discontinuity between eras, and filmmakers of visual discontinuity between shots. In mathematics it has a precise technical meaning: a point where a function fails to be continuous, with recognised types such as jump and removable discontinuities. The word derives from Latin roots meaning 'not hanging together', via 'continuous'. Formal in register, it conveys analytical detachment more than emotion, making it valuable in scholarly and scientific prose where a plainer word like 'break' would seem too casual.
A break or lack of continuity in space, time, sequence, or logical connection.
"The novel's deliberate narrative discontinuity mirrors its protagonist's fractured memory."
Frequently used in technical fields; the plural 'discontinuities' is common in geology, mathematics, and physics.
A point at which a mathematical function is not continuous.
"The graph shows a jump discontinuity at the origin."
The plural follows the standard '-y → -ies' rule and is especially common in geological and mathematical writing.
"The survey revealed several discontinuities along the fault line."
In mathematics, not all breaks are equal — there are named species of discontinuity, from 'removable' to 'essential', and some are so wild that mathematicians call them infinite.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Etymology of discontinuity
Discontinuity comes from Latin continuus, meaning 'hanging together' or 'uninterrupted', combined with the negative prefix dis-. English formed it as the negation of 'continuity', borrowing the pattern of Late Latin discontinuitas. The word entered English around the late 16th to early 17th century. It shares its root with cognates such as 'continuous', 'continuation', and 'continent' (originally 'land held together').
How discontinuity is actually used
Discontinuity is a formal word, most at home in academic and technical writing — geology, mathematics, physics, literary criticism, and social theory all use it heavily. Its plural is 'discontinuities'. It often carries a neutral-to-analytical tone rather than an emotional one.
Easily confused with discontinuity
Discontinuance refers to the act of stopping or ceasing something (such as legal proceedings), whereas discontinuity denotes a break or lack of smooth connection within something.