jump discontinuity

jump discontinuity

[′jəmp dis‚känt·ən′ü·əd·ē]
(mathematics)
A point a where for a real-valued function ƒ(x) the limit on the left of ƒ(x) as x approaches a and the limit on the right both exist but are distinct.
References in periodicals archive ?
As noted previously, the Gibbs phenomenon results from crossing over a jump discontinuity in the domain.
theta], but rather they are the points that surround the particular value [theta] for which we want to determine whether or not a jump discontinuity exists.
Specifically ms m increases, oscillations that occur in the neighborhood of a jump discontinuity can be misidentified as true edges, as is evident in Figure 3.