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Johndcook

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Interval arithmetic and fixed points

  • Interval arithmetic is a way to get exact results of a sort from floating point arithmetic.
  • Cosine iteration involves using interval arithmetic to illustrate the convergence of iterated cosines.
  • The cosine of any real number lies in the interval [-1, 1].
  • Numerical interval arithmetic involves computing intervals that contain the image of an interval under a function.

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