 
  
  
  
  
 
We have considered implementing a model   , given
 , given   .
We now consider implementing
 .
We now consider implementing   .
As before,
 .
As before,
  
 
 ,
 ,  
  
 
 of extended real numbers,
produces a valid description of the relationship
between m and
  of extended real numbers,
produces a valid description of the relationship
between m and   , in terms of the provided set
 , in terms of the provided set   ,
of extended real numbers:
 ,
of extended real numbers:
  
 
  
 
 ``translates''
from
  ``translates''
from   to
  to   .
 .
For the function   , an evaluation
of the model
 , an evaluation
of the model   proceeds as follows:
  proceeds as follows:
  
 
 is analogous
to the evaluation of
  is analogous
to the evaluation of   .
 .
The resulting domain description f'(d');   ,
 ,   ;
is determined using f(d),
 ;
is determined using f(d),   ,
 ,   , and
 , and   :
 :
  
 
 , given by
 , given by   , corresponds to
 , corresponds to   :
 :
  
 
 , given indirectly by
 , given indirectly by   , similarly corresponds to
 , similarly corresponds to
  :
 :  
  
 
 is chosen, by
  is chosen, by   ,
to facilitate the impending computation of
 ,
to facilitate the impending computation of   .
The chosen
 .
The chosen   is used to describe the domain of
  is used to describe the domain of   .
 .
The resulting value v',   , depends on f'(d').
If
 , depends on f'(d').
If   ,
the resulting value is given by the methods outlined earlier:
 ,
the resulting value is given by the methods outlined earlier:
  
 
 , the resulting value is arbitrary:
 , the resulting value is arbitrary:
  
 
 
  
  
  
  
 | Jeff Tupper | March 1996 |