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The Method of Quarter Squares*

Published online by Cambridge University Press:  18 August 2016

J. W. L. Glaisher  and
G. Carey Foster
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Type
Reprint
Information
Journal of the Institute of Actuaries , Volume 28 , Issue 3 , January 1890 , pp. 227 - 235
Copyright
Copyright © Institute and Faculty of Actuaries 1890

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References

page 232 note * It is interesting to compare the two formulæ which involve half squares and triangular numbers respectively. In the former case we tabulate a discontinuous function, and in the use of the formula a unit has sometimes to be arbitrarily added. In the latter ease we tabulate a continuous function, and the formula always holds good (the larger of the arguments being always reduced by unity). One formula depends on squares, n 2; the other on factorials of the second order, n(n – 1).