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Variant Forms of Vanishing Aggregates of Minors of Axisymmetric Determinants

Published online by Cambridge University Press:  15 September 2014

W. H. Metzler
W. H. Metzler
Affiliation:
Syracuse University, Syracuse, N.Y., February 1905
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Extract

1. Vanishing aggregates of determinant minors have of late received considerable attention and are now becoming well known. From aggregates for axisymmetric determinants of the form given by Kronecker,* Muir,† or the present writer‡ we may get other forms, and it is the object of this paper to consider some of these new forms, and in particular to show that the general theorem given by Professor Nanson § is readily obtained from the vanishing aggregates of the type given by the present writer.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 25 , Issue 2 , 1906 , pp. 717 - 721
Copyright
Copyright © Royal Society of Edinburgh 1906

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References

page 717 note * “Die Subdeterminanten Symmetricher System,” Berliner Berichte, 1882.

page 717 note † “Aggregates of Minors of an Axisymmetric Determinant,” Phil. Mag., April 1902.

page 717 note ‡ “On certain Aggregates of Determinant Minors,” Trans. Amer. Math. Soc., October 1901.

page 717 note § “Minors of Axisymmetric Determinants,” Amer. Jour. of Math., January 1905.

page 717 note ‖ Loc. cit., § 2. Amer. Jour. of Math., vol. xxii., No. 1.