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Up: 3.3 Linear Interval Arithmetic
Previous: 3.3.25 Binary Functions: One-Step Method
Consider the division function,
,
The evaluation of
,
proceeds as follows:
The sign of
and
are determined
by the arguments and the relationship with the
second derivative of
:
The corresponding evaluation with constant intervals
produces a noticeably larger result:
Similar behaviour may be observed near the origin with the general
exponentiation function,
.
Next: 3.3.27 Partial Binary Functions
Up: 3.3 Linear Interval Arithmetic
Previous: 3.3.25 Binary Functions: One-Step Method