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We now consider implementing models.
Each interval is given by
a set of intervals.
We previously defined the union of two intervals.
Extending that definition results in the following
method for taking the union of two intervals:
Another method,
which uses to describe the result,
follows:
Since each interval
is a collection of intervals,
the union of two intervals
is simply the sum of the two collections:
.
Good models of -bumpy functions may be built using the methods
presented so far, using
rather than , where appropriate.
Next: 3.2.21 Examples with Bumpy Functions
Up: 3.2 Constant Interval Arithmetic
Previous: 3.2.19 Example with a Discontinuous