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Excerpt from Theses Presentees A la Faculte des Sciences de Paris: Pour Obtenir le Grade de Docteur Es Sciences Mathematiques L'equation (3) n'admet en ge'ne'ralaucuoe solution continue s'anno lant sur le contour, sauf l'integrale banale v 0 qui correspond au repos; si, pour des valeurs exceptionnelles et bien determinees de p., de pareilles integrales existent, elles caracterisent les sans propres de la membrane. Ces valeurs exceptionnelles sont les constantes caracte ristiques de l'equation la plus petite, qui correspond a la plus longue periode, caracterise le son fondamental; les suivantes cor respondent aux diverses harmoniques de la membrane. Physiquement on est donc assure de l'existence de constantes carac teristiques en nombre infini; cependant on concoit la necessite d'une demonstration analytique rigoureuse. 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.

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