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XVI.—The Theory of Compound Determinants from 1900 to 1920

Published online by Cambridge University Press:  15 September 2014

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Extract

The number of writings on compound determinants in the period 1900–1920 is almost identical with the number for the immediately preceding twenty-year period. The languages used by the writers are at least as numerous: but the contributions made by the various nationalities are relatively much altered in amount. The former strikingly high proportion of Magyar work is not at all maintained, and German has somewhat fallen off: on the other hand, English and Italian have increased. Although statements at variance with historical accuracy, and the publication of old results as new, are still more common than they ought to be, pleasing evidence is not awanting of improvement in these respects. There is nothing so glaring, for example, as the fact chronicled against the writers of the two preceding periods that they had unwittingly rediscovered ten times a theorem that had appeared in so well known a journal as Liouville's in 1851.

Type
Proceedings
Copyright
Copyright © Royal Society of Edinburgh 1926

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References

page 191 note * E.g. six times in the period 1860–1880.

page 192 note * The problem here solved was set by Nanson at the beginning of 1905 in Educ. Times, lviii, p. 41, and a condensed solution was published early in 1906 in Math. from Educ. Times, (2) ix, pp. 109–110. See also (2) x, p. 106.

page 202 note * To be strictly accurate it should be added that Metzler's equality is the complementary of this, and therefore has an additional factor on the right-hand side. His notation for minors is unusual, standing for the complementary of what is ordinarily denoted by that symbol—standing, in fact, for our (Transac. R. Soc. Edinburgh, xl, pp. 511–533).

page 203 note * These wide generalisations of Metzler's might well have been referred to at the end of my recent paper in the Proceedings (xlv, pp. 51–55): the effect of the footnote there given would thus have been much enhanced.