Next: 3.2.8 Piecewise Constant Functions
Up: 3.2 Constant Interval Arithmetic
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Some examples of follow.
A chart is used to visualize the sections
the function g is cut into.
Here are charts for the preceding examples:
Determination of , for differentiable g,
is aided by the
relationship between and :
if and , then
As an example,
consider , ;
since
for , which implies ,
the following holds:
From the aforementioned relationship between and ,
it follows that
, for any ;
so .
Next: 3.2.8 Piecewise Constant Functions
Up: 3.2 Constant Interval Arithmetic
Previous: 3.2.6 Piecewise Models