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Note on a Persymmetric Eliminant

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

1. The fact that the eliminant of the set of five equations

is, as shown by Professor Schoute, the persymmetric determinant

implies a linear relation connecting every three consecutive s's. As a matter of fact it is not difficult to see that we have

and from these, by elimination of λ1λ2, λ1+λ2, we obtain the result just mentioned.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 22 , 1899 , pp. 543 - 546
Copyright
Copyright © Royal Society of Edinburgh 1899

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References

* Schoute, P. H., “A Geometrical Interpretation of the Invariant of a binary form a2n of even Degree.” Proceedings Roy. Acad. Amsterdam, I. pp. 313–321.