Such verifications are of value for two reasons.
The standard treatise on the mathematical theory is Lord Rayleigh's Theory of Sound (2nd ed., 1894); this work also contains an account of experimental verifications.
Similar anticipations and verifications among the invertebrates have been made by Hyatt, Beecher, Jackson and others.
Such, a concordance between theory and experiment not only verifies the accuracy of thermodynamic reasoning as applied to dilute solutions, but gives perhaps one of the most convincing experimental verifications of the general validity of thermodynamic theory which we possess.
Weber at the same time deduced the mathematical laws of induction from his elementary law of electrical action, and with his improved instruments arrived at accurate verifications of the law of induction which by this time had been developed mathematically by Neumann and himself.