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1. On a Particular Case of the Symbolic Cubic

Published online by Cambridge University Press:  15 September 2014

Gustav Plarr
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Extract

§ 1. The method by which Hamilton has established the symbolical cubic

and more particularly the relation

is founded on a generalisation of the result

where ϕ represents a linear and vector function, and ϕ' its conjugate according to the definition

In the most general case of ϕρ the expression of this function is reducible to a vector sum of three terms of the form αSα1ρ, and the directions which ϕρ is susceptible of representing are generally not limited in space.

Type
Proceedings 1881-82
Information
Proceedings of the Royal Society of Edinburgh , Volume 11 , 1882 , pp. 342 - 354
Copyright
Copyright © Royal Society of Edinburgh 1882

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