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Cyclic Differences

Published online by Cambridge University Press:  15 September 2017

H. G. Haden
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Extract

If we take any integral number, and suppose it written round the circumference of a circle, it is possible to form differences by subtracting each digit from its neighbour on the right. If the result is negative, 10 is added to bring the answer positive. The second and successive differences may be formed similarly. It is found that at some stage the lines of differences start to repeat those occurring before.

Type
Research Article
Information
The Mathematical Gazette , Volume 32 , Issue 299 , May 1948 , pp. 73 - 83
Copyright
Copyright © Mathematical Association 1948

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