discontinuity UK /ˌdɪs.kɒn.tɪˈnjuː.ɪ.ti/US /ˌdɪs.kɑn.tɪˈnu.ɪ.ti/ noun3 •A lack of continuity, regularity or sequence; a break or gap.The data shows a clear discontinuity in temperature around 1990.Geologists noted a discontinuity between the two rock layers. •A point in the range of a function at which it is undefined or discontinuous. •a subterranean interface at which seismic velocities change formsdiscontinuities