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Initiation of Deep-Sea Waves of Three Classes: (1) from a Single Displacement; (2) from a Group of Equal and Similar Displacements; (3) by a Periodically Varying Surface-Pressure

Published online by Cambridge University Press:  15 September 2014

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Abstract

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Proceedings
Copyright
Copyright © Royal Society of Edinburgh 1906

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References

page 407 note * If we continue the argument-curve to the side of the origin for x-negative, we must include large negative values of i in (146): but for simplicity we have confined the argument-curve to positive values of x.

page 416 note * Nature, August 1877, and Brit. Ass. Report, 1877

page 427 note * Remember that downward ordinates in all the curves of figs. 36, 37, 38, 39, correspond to positive values of the quantities represented.

page 428 note * The scale of ordinates of the third, fourth, and fifth curves of fig. 38 is double that of the first and second, indicated on the figure.

page 431 note * Mémoires de l'Institut, 1810. See Gregory's, Examples, p. 480.Google Scholar

page 433 note * The beautiful mathematical discovery, seems to have been made by Euler about 1730.

page 433 note † Phil. Mag., October 1871.

page 433 note ‡ See Glaisher, , “On a Class of Definite Integrals,” Phil. Mag., October 1871Google Scholar; and Burgess, , “On the Definite Integral Tram. Roy. Soc. Edin., 1898.Google Scholar