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plural discontinuities
A lack of continuity, regularity or sequence; a break or gap. quotations examples
Shock waves are sudden discontinuities propagated in compressible media – usually air.
2012, George Dyson, Turing's Cathedral, Penguin, published 2013, page 57
(mathematics) A point in the range of a function at which it is undefined or discontinuous. examples
(geology) a subterranean interface at which seismic velocities change