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MathGroup Archive 1992

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RealInterval needing N

  • To: MATHGROUP at yoda.physics.unc.edu
  • Subject: RealInterval needing N
  • From: fateman at peoplesparc.berkeley.edu (Richard Fateman)
  • Date: Sat, 10 Oct 92 16:51:15 PDT

There's lots more wrong with RealInterval in Mathematica 2.0 (and I suspect
in later versions).  The concept of interval arithmetic in computational
mathematics requires that the result of an interval operation f
on an interval I includes every value f(a) where a is in I.  Mathematica
does not obey this rule.  I suspect that this really is a consequence
of its notion of precision and accuracy, plus some sloppiness in defining
RealInterval. 
RJF





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