1903-4.] Prof. Chrystal on Mathematical Theory of Seiches. 337 
functions ; and are naturally somewhat complicated. We therefore 
omit them from this preliminary communication. 
In a more detailed paper which I propose to submit hereafter to 
the Society I shall give particulars regarding the establishment of 
the above results, further developments of their application, a 
discussion of the agreement of the results in particular cases with 
observation, and a comparison of the above theory with that given 
by Du Boys in his “Essai Theorique sur les Seiches ” (Arch. d. Sc. 
Phys. et Nat. d. Geneve , Per. iii. t. xxv., 1891). 
In the meantime I cherish a hope that the above summary may 
help to encourage and to guide the ardent observers who are now 
engaged in procuring for us accurate data regarding the interesting 
natural phenomena with which they deal. 
{Issued separately October 6, 1904.) 
PROC. ROY. SOC. ED1N. — VOL. XXV. 
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