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

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
Copyright
Copyright © Royal Society of Edinburgh 1862

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References

page 26 note * More nearly,