Any function may be cut into sections where each section fits into one monotonicity class:
A model of a function may be built up in pieces. To determine , for , a proper cover of j is found. The cover C is a set of sets. If C covers j, then every point in j is in a member of C:
Often, we form a set from which proper covers of j may be easily formed, for any . We will not mandate a particular choice of ; there will be a natural choice for each g we consider. Using several , with , we may then evaluate for any using the above strategy.
|Jeff Tupper||March 1996|