Excerpt from On the Determination of the Free Electron Distribution of an Ionized Gas In the sections which follow, a method will be given for reconstructing the electron distribution from a knowledge of the complete reflection coef fiolent at all frequencies. It will be seen, in fact, that the result can be stated explicitly in closed form when the reflection coefficient is a rational function of the frequency. The procedure for extrapolating to the complete reflection coefficient, starting from time delay data, will be described in a future article which will deal with the application of results presented here. Section 2 of this paper can be considered an extension of the introduction, for nothing which is discussed there is new. Some of the general well-known properties of the scattering matrix associated with the differential equation are described in Section 2 for convenient reference later on. Specific reference to the literature in that discussion will not be made because most of the material comes from a commonly-held body of knowledge difficult to attribute to any individual. 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.