, ...
,
, and so on. But it is not at all difficult to define discontinuous functions. Take, as a non-mathematical example, "the place of birth of the youngest person living at time
." This is a function of
; its value is constant from the time of one person's birth to the time of the next birth, and then the value changes suddenly from one birthplace to the other. An analogous mathematical example would be "the integer next below