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II.—Investigation of an Expression for the Mean Temperature of a Stratum of Soil, in Terms of the Time of Year.*

Published online by Cambridge University Press:  17 January 2013

Joseph D. Everett
Joseph D. Everett
Affiliation:
Professor of Mathematics, &c., King's College, Windsor, Nova Scotia.
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Extract

1. It is a well-known property of simple harmonic functions, that the sum of any two or more of them having the same period, is itself a simple harmonic function having the same period as its components. The same thing must be true of their mean, since this is equal to the sum divided by a constant; and it will still be true when the number of components is indefinitely great, and the mean becomes an integral.

Type
Transactions
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 23 , Issue 1 , 1862 , pp. 21 - 27
Copyright
Copyright © Royal Society of Edinburgh 1862

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References

page 26 note * More nearly,