Next: 3.3.17 Examples with a Partial
Up: 3.3 Linear Interval Arithmetic
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We have considered implementing a model
, given
.
We now consider implementing
.
As before,
The function
,
when given
an interval m and a set
of extended real numbers,
produces a valid description of the relationship
between m and
, in terms of the provided set
,
of extended real numbers:
The relationship between each interval and its associated
set is that of containment, defined as before:
The function
``translates''
from
to
.
For the function
, an evaluation
of the model
proceeds as follows:
The evaluation of
is analogous
to the evaluation of
.
The resulting domain description f'(d');
,
;
is determined using f(d),
,
, and
:
The set
, given by
, corresponds to
:
The set
, given indirectly by
, similarly corresponds to
:
the function
is chosen, by
,
to facilitate the impending computation of
.
The chosen
is used to describe the domain of
.
The resulting value v',
, depends on f'(d').
If
,
the resulting value is given by the methods outlined earlier:
If
, the resulting value is arbitrary:
Next: 3.3.17 Examples with a Partial
Up: 3.3 Linear Interval Arithmetic
Previous: 3.3.15 Periodic Functions