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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