1. Not continuous; interrupted; broken
off. "A path
that is zigzag, discontinuous, and intersected at each turn
negligence." (De Quincey)
2. Exhibiting a dissolution
of continuity; gaping. "Discontinuous wound.
" Discontinuous function, a function which for determined values or between determined values of the variable does not vary continuously as the variable increases. The discontinuity may, for example, consist of an abrupt change in the value of the function, or an abrupt change in its law of variation, or the function may become imaginary.
Source: Websters Vocabulary