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The evaluation of integrals of the form

  • E. T. Goodwin (a1)

It is well known to computers that the approximate formula

yields a surprising degree of accuracy even for quite large values of the interval h; for example, if h = 1 the error is one unit in the fourth decimal.

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* See, for example, Milne-Thomson, L. M., The calculus of finite differences (Macmillan, 1933).

* Turing, A. M., ‘A method for the calculation of the zeta-function’, Proc. London Math. Soc. (2), 48 (1943), 180.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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