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The General (m, n) Correspondence

Published online by Cambridge University Press:  24 October 2008

R. Vaidyanathaswamy
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Extract

The present work is the outcome of a study of the special type of (3, 2) correspondence on a circle, namely that between a point and the extremities of its pedal line. This led to considering correspondences in general, and to the formulation of concepts which are believed to be new, for example the Canonical Forms, § 1 (2), and Multipliers, § 1 (3). The case of the (n, 1) correspondence has already been given by the author.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 2 , April 1926 , pp. 109 - 119
Copyright
Copyright © Cambridge Philosophical Society 1926

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References

* Cf. “Theory of the Rational Transformation”, Journal of the Indian Math. Soc. (1921).Google Scholar

* Cf. Proc. London Math. Soc. 2, 24 (1925), p. 83.Google Scholar

† The Jacobian of γ+1 binary m−ics is symbolically

which is a numerical multiple of the determinant

a combinant of the linear system

* Cf. Grace, and Young, , Algebra of Invariants, pp. 53–54 (1903).Google Scholar

* Cf. Waelsch, loc. cit.Google Scholar