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The Function y = x r

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Applied Mathematics: Body and Soul

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Abstract

We showed above that we can solve the equation x 2=a for any positive rational number a using the Bisection algorithm.

With equal passion I have sought knowledge. I have wished to un­derstand the secrets of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which numbers hold sway about the flux. A little of this, but not much, I have achieved. (Bertrand Russell 1872–1970).

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Authors and Affiliations

  1. Department of Mathematics, Chalmers University of Technology, 41296, Göteborg, Sweden

    Kenneth Eriksson & Claes Johnson

  2. Department of Mathematics, Colorado State University, 80523-1874, Fort Collins, CO, USA

    Donald Estep

Authors
  1. Kenneth Eriksson
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  2. Donald Estep
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  3. Claes Johnson
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© 2004 Springer-Verlag Berlin Heidelberg

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Eriksson, K., Estep, D., Johnson, C. (2004). The Function y = x r . In: Applied Mathematics: Body and Soul. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05796-4_18

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  • DOI: https://doi.org/10.1007/978-3-662-05796-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05659-8

  • Online ISBN: 978-3-662-05796-4

  • eBook Packages: Springer Book Archive

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