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On measure of sum sets II. The sum-theorem for the torus

Published online by Cambridge University Press:  24 October 2008

A. M. Macbeath
A. M. Macbeath
Affiliation:
The University of North StaffordshireStoke-on-Trent
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Extract

This note is concerned with the r-dimensional torus Tr, whose points x are r-tuples (x1, x2, …, xr), where the xi are not numbers but residue-classes modulo 1. The addition of two elements of Tr follows the vector law

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 1 , January 1953 , pp. 40 - 43
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

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