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XXII.—The Theory of Circulants from 1900 to 1920

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

In contributions to the theory of circulants this twenty-year period is found to have been still more fruitful than its fruitful predecessor, the number of writings belonging to it being, indeed, a fourth more, and the percentage of unoriginal communications much about the same. The language which appears oftenest is English, the next in order of frequency being Italian, French, German,—an unusual sequence: the American share of the first of these is considerable, and shows a tendency to increase. In our treatment of the subject papers on block circulants have not been kept separate from those on ordinary circulants: strict segregation has been found to necessitate considerable repetition, and the gain got from it in facility of reference is not so great as to overweigh this disadvantage.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 44 , 1925 , pp. 218 - 241
Copyright
Copyright © Royal Society of Edinburgh 1925

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References

page 221 note * The pure circulant of two three-line circulants, namely,

can be treated in exactly the same way, the first stage of resolution being into

page 226 note * P′ differs from P in having the primary diagonal for the axis of symmetry, e.g.

page 226 note † See Muir's text-book of 1882, pp. 190–191.

page 227 note * Marolli uses the less appropriate array

page 233 note * It is disappointing to find this property, sixty years after its discovery by Spottiswoode, attributed to Stern (1871).