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On General Numerical Solution

Published online by Cambridge University Press:  18 August 2016

W. S. B. Woolhouse
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Extract

The ultimate object of the following paper is to elicit a practical and efficient method of resolving, numerically, problems of every description involving an unknown quantity. In order to accomplish this end with the utmost generality, the most important step is to determine the inversion of a given function in a suitable and convenient series, involving the differential coefficients which appertain to an approximate value of the variable.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 15 , Issue 5 , April 1870 , pp. 313 - 328
Copyright
Copyright © Institute and Faculty of Actuaries 1870

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References

page 314 note * The formula is correctly given, as far as the 11th power inclusive, under the article “Reversion” in the “Penny Cyclopædia,” recently reprinted in the Division “Arts and Sciences” of the “English Cyclopaedia.”

page 323 note * Here logp might be conveniently tabulated to argument 4v.

page 324 note * From David Jones's “Annuities,” &c, p. 42, wherein, however, the result is correct to only two places of decimals.