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Up: 2.9 Generalized Interval Arithmetic
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The original interval arithmetic can now be
viewed as constant interval arithmetic, where the lower and
upper function bounds are constants:
There is an injective mapping ,
With the operators defined via interval extension,
the mapping is a homomorphism from
to .
There is a similar mapping from to .
Next: 2.9.5 Quadratic Intervals
Up: 2.9 Generalized Interval Arithmetic
Previous: 2.9.3 Linear Intervals