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On the Distribution of the Error of an Interpolated Value, and on the Construction of Tables

Published online by Cambridge University Press:  24 October 2008

R. A. Fisher  and
J. Wishart
R. A. Fisher
Affiliation:
Gonville and Caius College
J. Wishart
Affiliation:
Gonville and Caius College
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Extract

Before the introduction of interpolation formulae, beyond linear interpolation by proportional parts, the presentation of the numerical values of mathematical functions was much restricted, for the labour of computation and the cost of printing, to say nothing of the inconvenience of handling a bulky volume, had to be increased quite disproportionately with every increase in accuracy. A four-figure logarithm table occupies two small pages, Chambers's seven-figure table takes 150 pages, while Vega's ten figure table requires 300 pages twelve inches long.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 8 , October 1927 , pp. 912 - 921
Copyright
Copyright © Cambridge Philosophical Society 1927

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References

REFERENCES

(1)Thompson, A. J. (1921). Table of the Coefficients of Everett's Central Difference Interpolation Formula. Tracts for Computers, V. Cambridge University Press.Google Scholar
(2)Thompson, A. J. (1924). Logarithmetica Britannica, Part IX. Issued by the Biometric Laboratory.Google Scholar
(3)Pearson, Karl (1920). On the Construction of Tables and on Interpolation. Tracts for Computers, II. Part I. Cambridge University Press.Google Scholar
(4)Steffensen, J. F. (1927). Interpolation. Baltimore: The Williams and Wilkins Company.Google Scholar