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Consider the division function,   , which
is both partial and
 , which
is both partial and   -bumpy. For the division function,
 -bumpy. For the division function,
The evaluation of   ,
proceeds as follows:
The division function is defined unless the divisor is zero:
In the evaluation above,
 ,
proceeds as follows:
The division function is defined unless the divisor is zero:
In the evaluation above,
  is evaluated:
For general binary functions, it may be natural to introduce more than
a single new constraint after a function application.
Enhancing
  is evaluated:
For general binary functions, it may be natural to introduce more than
a single new constraint after a function application.
Enhancing   and
  and   allows this; the common
binary functions do not naturally introduce multiple constraints.
The members of
  allows this; the common
binary functions do not naturally introduce multiple constraints.
The members of   influence this decision.
  influence this decision.
    
 
  
  
  
  
 
 Next: 3.3.29 Concave UpDown Functions
Up: 3.3 Linear Interval Arithmetic
 Previous: 3.3.27 Partial Binary Functions