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Excerpt from The Cambridge and Dublin Mathematical Journal, 1846, Vol. 1: Being Vol. V. Of the Cambridge Mathematical Journal Notes and other passages enclosed in brackets are insertions made by the Editor. The date of actual publication of any article, or portion Of an article. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.

Excerpt from The Cambridge and Dublin Mathematical Journal, 1849, Vol. 4: Being Vol 8. Of the Cambridge Mathematical Journal Although the principle of reversion applies to the theory of emissions, it does not lead, on that theory, to the law of intensity resulting from equations (1) and For the formation of these equations involves the additional principle of superposition, which on the theory of undulations is merely a general dynamical principle applied to the funda mental hypotheses, but which does not apply to the theory of emissions, or at best must be assumed, on that theory, as the expression of a property which we are compelled to attribute to light, although it appears inexplicable. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.

Excerpt from The Cambridge and Dublin Mathematical Journal, 1847, Vol. 2 The method which we shall emplo in the solution of this equation, is that developed in the P dosopkical Trans for 1844, Part II. (on a General Method in Analysis), and xplained in the first Number of this Journal (on 's Equation). We shall first obtain the complete integral by series. We shall then deduce a particular solu tion, in the form of a definite in and shall examine the relation which it bears to the erent parts of the general solution. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.

Excerpt from The Cambridge and Dublin Mathematical Journal, 1853, Vol. 8 WE pass now to the case in which the number of nan tities in the two sets corresponding to parameters an cc ordinates is not the same. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.