A curve or graph is said to be discontinuous if there are sudden jumps or gaps in value. For example, consider the step function:
step(x) = if x<=0 then 0 else 1
This has a discontunuity at x=0, the value just below is 0 and the value just above is 1.
step(x) = if x<=0 then 0 else 1
This has a discontunuity at x=0, the value just below is 0 and the value just above is 1.
Used in Chap. 7: page 99; Chap. 14: page 205
Also known as discontinuities
A discontinuous threshold function.