next up previous notation contents
Next: 3.2.10 Monotonically Increasing Functions Up: 3.2 Constant Interval Arithmetic Previous: 3.2.8 Piecewise Constant Functions

3.2.9 Examples with Piecewise Constant Functions

 

Every function tex2html_wrap_inline34165 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 tex2html_wrap_inline34649 . An example is tex2html_wrap_inline34651 :

eqnarray13135

with

math13148

Consider the floor function, tex2html_wrap_inline34653 , which is a piecewise constant function. An example evaluation follows:

math13155

with

math13181

next up previous notation contents
Next: 3.2.10 Monotonically Increasing Functions Up: 3.2 Constant Interval Arithmetic Previous: 3.2.8 Piecewise Constant Functions
Jeff TupperMarch 1996