Every function is a piecewise constant function, albeit with an infinite number of pieces. We are, however, concerned with functions which may be described using a finite number of pieces.
All globally constant functions are piecewise constant. We will consider such functions to be extended real functions, so that . An example is :
Consider the floor function, , which is a piecewise constant function. An example evaluation follows:
|Jeff Tupper||March 1996|