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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