Group Properties Of The Acoustic Differential Equation
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Group Properties Of The Acoustic Differential Equation
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Author : L V Poluyanov
language : en
Publisher: CRC Press
Release Date : 1995-05-24
Group Properties Of The Acoustic Differential Equation written by L V Poluyanov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-24 with Mathematics categories.
This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the more general Lie method are considered, which can be applied even to nonlinear problems. The information obtained allows the reader to construct different types of analytical solutions of the different acoustic equation. The acoustic differential equation describes sound waves in elastic media. If the media is non-homogeneous then the acoustic equation is generally very complicated and its exact solutions or analytical solutions may be considered as rare. This volume applies Lie algebra and Lie group techniques to separate independent variables and obtains exact analytical solutions. Special attention is paid to homogeneous and non-homogeneous media with different symmetry properties. The full wave acoustic equation is considered as well as the so-called phase acoustic equation which arises in the short-wave approximation.
Stochastic Models Information Theory And Lie Groups Volume 1
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Author : Gregory S. Chirikjian
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-02
Stochastic Models Information Theory And Lie Groups Volume 1 written by Gregory S. Chirikjian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Mathematics categories.
This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Sci Tech News
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Author :
language : en
Publisher:
Release Date : 1996
Sci Tech News written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Library science categories.
Computational Ocean Acoustics
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Author : Finn B. Jensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-03-23
Computational Ocean Acoustics written by Finn B. Jensen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-23 with Science categories.
"Many practical suggestions and tips; the examples are meaningful and the illustrations are effective....Destined to become a classic reference that any serious practitioner of ocean acoustics cannot afford to ignore." Revue de livre Authored by four internationally renowned scientists, this volume covers 20 years of progress in computational ocean acoustics and presents the latest numerical techniques used in solving the wave equation in heterogeneous fluid-solid media. The authors detail various computational schemes and illustrate many of the fundamental propagation features via 2-D color displays.
Recent Advances In Mathematics And Technology
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Author : Serge Dos Santos
language : en
Publisher: Springer Nature
Release Date : 2020-02-21
Recent Advances In Mathematics And Technology written by Serge Dos Santos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-21 with Mathematics categories.
The chapters in this volume are based on talks given at the inaugural Technology, Engineering and Mathematics Conference (TEM18), held from March 26 to 27, 2018 in Kenitra, Morocco. Advances in mathematical modeling, optimization, numerical analysis, signal processing, and computer science are presented by leading experts in these fields. There is a particular emphasis on stochastic analysis, machine learning algorithms, and deep learning models, which are highly relevant to the state-of-the-art in augmented, virtual, and mixed realities. Topics include: Harmonic analysis Big data analytics and applications Biomathematics Computer engineering and applications Economics and financial engineering Medical imaging and non-destructive testing This volume is ideal for engineers and researchers working in technological fields that need to be modeled and simulated using the tools of modern mathematics.
Group Properties Of A One Dimensional System Of Equations For Wave Propagation In Various Media
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Author : K. A. Ames
language : en
Publisher:
Release Date : 1988
Group Properties Of A One Dimensional System Of Equations For Wave Propagation In Various Media written by K. A. Ames and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Gauge Invariance Approach To Acoustic Fields
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Author : Woon Siong Gan
language : en
Publisher: Springer
Release Date : 2019-07-31
Gauge Invariance Approach To Acoustic Fields written by Woon Siong Gan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-31 with Technology & Engineering categories.
This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials. The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy). Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.
Nonlinear Acoustics Fundamentals And Applications
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Author : B.O. Enflo
language : en
Publisher: American Institute of Physics
Release Date : 2008-06-25
Nonlinear Acoustics Fundamentals And Applications written by B.O. Enflo and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-25 with Medical categories.
These are the proceedings of the 18th International Symposium on Nonlinear Acoustics (ISNA).The ISNA series, held once every three years, is the premier symposium devoted to the field of nonlinear acoustics. Nonlinear acoustical phenomena appear when the sound amplitude is sufficiently large. Then the sound wave is deformed and shocks and sound of new frequencies are created. Earthquake and sonic booms are undesired nonlinear acoustical phenomena; nondestructive testing and cancer sound beam therapy are useful nonlinear acoustical applications. This book is unique in bringing into relief the common physical foundation of so different phenomena and applications.
Principles Of Modern Acoustics
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Author : George Warner Swenson
language : en
Publisher: New York : Van Nostrand
Release Date : 1953
Principles Of Modern Acoustics written by George Warner Swenson and has been published by New York : Van Nostrand this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Science categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.