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4. Note on Vector Conditions of Integrability

Published online by Cambridge University Press:  15 September 2014

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Extract

(1.) The relation dσ = uqdρq–1 ensures that the tensor of dσ shall always be u times that of dρ Hence, if ρ be the common vector of three series of surfaces which together cut space into cubes, σ possesses the same property. (See § 6 of my paper On Orthogonal Isothermal Surfaces, Trans. R.S.E., 1873–4. In what follows this paper will be referred to as Ω.)

Type
Proceedings 1877-78
Information
Proceedings of the Royal Society of Edinburgh , Volume 9 , 1878 , pp. 527 - 532
Copyright
Copyright © Royal Society of Edinburgh 1878

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