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Extended interval arithmetic is similar to   ,
with the restriction that each interval set contain
either one or two intervals. If the set contains two intervals,
one interval must contain
 ,
with the restriction that each interval set contain
either one or two intervals. If the set contains two intervals,
one interval must contain   ; the other interval must
contain
 ; the other interval must
contain   .
 .
An algorithm employing
extended interval arithmetic may readily graph specifications
given using +, -,   , and
 , and   ; the more general
interval sets are needed if operations such as
 ; the more general
interval sets are needed if operations such as   or
 
or   may occur in a specification.
  may occur in a specification.
 
  
  
  
  
 | Jeff Tupper | March 1996 |