Next: 2.9.5 Quadratic Intervals
Up: 2.9 Generalized Interval Arithmetic
Previous: 2.9.3 Linear Intervals
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