Analysis of Alternating-Current Waves by the Method of Fourier, with Special Reference to Methods of Facilitating the Computations (Classic Reprint)

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Excerpt from Analysis of Alternating-Current Waves by the Method of Fourier, With Special Reference to Methods of Facilitating the ComputationsOf the methods which have been suggested, the one which best serves the purpose is that of Runge it is used in the methods of analysis considered below.We note, first, that it it is an advantage to use an even number of measured ordinates per half wave, rather than an odd number. Not only is the necessity avoided for the calculation of one of the coefficients from an extra set of ordinates, as remarked above in the case of A15, but it has the further advantage that the grouping of terms involving the sines of common angles can be further extended, and the calculation of certain higher harmonics can be made to depend in a simple manner on the calculation of the lower harmonics.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.