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Accuracy of Arithmetical Approximation

Published online by Cambridge University Press:  07 November 2014

G. J. Lidstone
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Transactions of the Faculty of Actuaries , Volume 17 , 1945 , pp. 27 - 38
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Copyright © Institute and Faculty of Actuaries 1945

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References

page 30 note * It must also be noted that if the first rejected figures are near to 5 a very small error may be enough to turn the last recorded figure. E.g., if the true result is ·62349 recorded to three places as ·623, an error of only ·00002 will turn the result to ·62351, recorded to three places as ·624. Such accidental turns cannot be predicted or analysed.

page 31 note * It is shown in Note appended to the Paper that this case may practically be merged with the previous case, (a+b)>10,ab>10.

page 38 note * These are respectively the roots of x 2—10x+10=10; we have or .