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On a Table for the Formation of Logarithms and Anti-Logarithms to Twelve Places. (Part II)

Published online by Cambridge University Press:  18 August 2016

Peter Gray
Peter Gray*
Affiliation:
Institute of Actuaries
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Extract

In the last number of the Journal I explained and exemplified a method for the formation of logarithms and anti-logarithms to twelve places, and gave the tables requisite for its application. I am now to analyse and farther exemplify the method in question, and demonstrate the rules laid down in the previous paper.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 12 , Issue 3 , April 1865 , pp. 121 - 136
Copyright
Copyright © Institute and Faculty of Actuaries 1866

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References

page 123 note * This can easily be shown by aid of the expression

where M is the modulas, =·43429…. And it is for the reason above stated that the decimal places in 1 + N1 are, in the resolving process, restricted to t, the number of places there are to be in the mantissa of the required logarithm.

page 127 note * It will be observed that the last eleven factors are the same in both sets. This arises from the casual circumstance that the figures of the products of the first two factors are the same in both: 2 × 1·5=3, and ¼ × l·2=·3.

page 130 note * See Note, p. 127.

page 133 note * See Example, p. 90.