"In mathematics, a continuous function is, roughly speaking, a function for which small changes in the input result in small changes in the output." [1] I coul

"In mathematics, a continuous function is, roughly speaking, a function for which small changes in the input result in small changes in the output." [1] I could clarify and say that the change doesn't have to be unboundedly large in absolute terms, but rather relative to the change in input. (i.e. a jump discontinuity from 0 to 1 is not absolutely unbounded, but it is relative to an arbitrarily small change across the jump.) [1] http://en.wikipedia.org/wiki/Continuous_function http://en.wikipedia.org/wiki/Continuous_function