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Excerpt from The Inverse Laplace Transform of an Exponential Function
To extend the knowledge of the relationship between time harmonic fields and pulse fields and between the asymptotic series described above and the correspond ing series of powers to fields diffracted by smooth bodies, it now appears desirable to utilize some Laplace transforms which have not been established.
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Excerpt from The Inverse Laplace Transform of an Exponential Function
In electromagnetic problems one often has occasion to study pulse fields, that is, fields created by sources which have a Heaviside unit function behavior or a delta-function behavior in the time variable as well as fields created by the same sources and having a harmonic time behavior. The latter fields also prove to be harmonic in time (apart from a transient) and these time harmonic fields are the Laplace transforms of the corresponding pulse fields.
To extend the knowledge of the relationship between time harmonic fields and pulse fields and between the asymptotic series described above and the corresponding series of powers to fields diffracted by smooth bodies, it now appears desirable to utilize some Laplace transforms which have not been established. It is expected that the result will be useful in electromagnetic diffraction problems but the present paper will be devoted to the purely mathematical problem of determining the original function and also the asymptotic behavior of the original function for t near 0.
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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- VerlagForgotten Books
- Erscheinungsdatum2018
- ISBN 10 1332145280
- ISBN 13 9781332145287
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten31
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The Inverse Laplace Transform of an Exponential Function (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book delves into the fascinating world of electromagnetic diffraction theory, exploring the complex relationship between pulse fields and time harmonic fields. The author, a researcher in the field of electromagnetic research, presents a groundbreaking analysis of the inverse Laplace transform of an exponential function, a mathematical concept crucial to understanding these types of fields. By applying this transform, the author unravels the intricate connection between the spatial behavior of time harmonic fields and the corresponding series of powers of the time variable in pulse fields. This work builds upon existing knowledge in the field, offering a deeper understanding of the mathematical principles underpinning electromagnetic diffraction and contributing significantly to the development of this area of physics. The book offers a valuable resource for mathematicians and physicists interested in electromagnetic diffraction theory, particularly those seeking a rigorous exploration of the Laplace transform in the context of this complex field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332145287_0
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The Inverse Laplace Transform of an Exponential Function Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LX-9781332145287
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The Inverse Laplace Transform of an Exponential Function Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LX-9781332145287
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The Inverse Laplace Transform of an Exponential Function (Classic Reprint)
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Zustand: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 32 | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 26059942/2
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