Download or read book Group Properties Of The Acoustic Differential Equation written by L V Poluyanov and published by CRC Press. This book was released on 1995-05-24 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Stochastic Models Information Theory and Lie Groups Volume 1 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2009-09-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Group Properties Of The Acoustic Differential Equation written by L V Poluyanov and published by CRC Press. This book was released on 1995-05-24 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 inf
Download or read book Sci tech News written by and published by . This book was released on 1996 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Advances in Mathematics and Technology written by Serge Dos Santos and published by Springer Nature. This book was released on 2020-02-21 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonlinear Acoustics Fundamentals and Applications written by B.O. Enflo and published by American Institute of Physics. This book was released on 2008-06-25 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book U S Government Research Reports written by and published by . This book was released on 1964 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Understanding Acoustics written by Steven L. Garrett and published by Springer. This book was released on 2017-02-24 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified approach to acoustics and vibration suitable for use in advanced undergraduate and first-year graduate courses on vibration and fluids. The book includes thorough treatment of vibration of harmonic oscillators, coupled oscillators, isotropic elasticity, and waves in solids including the use of resonance techniques for determination of elastic moduli. Drawing on 35 years of experience teaching introductory graduate acoustics at the Naval Postgraduate School and Penn State, the author presents a hydrodynamic approach to the acoustics of sound in fluids that provides a uniform methodology for analysis of lumped-element systems and wave propagation that can incorporate attenuation mechanisms and complex media. This view provides a consistent and reliable approach that can be extended with confidence to more complex fluids and future applications. Understanding Acoustics opens with a mathematical introduction that includes graphing and statistical uncertainty, followed by five chapters on vibration and elastic waves that provide important results and highlight modern applications while introducing analytical techniques that are revisited in the study of waves in fluids covered in Part II. A unified approach to waves in fluids (i.e., liquids and gases) is based on a mastery of the hydrodynamic equations. Part III demonstrates extensions of this view to nonlinear acoustics. Engaging and practical, this book is a must-read for graduate students in acoustics and vibration as well as active researchers interested in a novel approach to the material.
Download or read book Illustrated Official Journal patents written by Great Britain. Patent Office and published by . This book was released on 1995 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Cumulative Book Index written by and published by . This book was released on 1996 with total page 2230 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world list of books in the English language.
Download or read book Computational Acoustics Ocean acoustic models and supercomputing written by Ding Lee and published by North Holland. This book was released on 1990 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 3-volume set contains contributions from different areas of Computational Acoustics. Covered are: - computational methods to solve acoustics problems (including aero-acoustics, seismo-acoustics, and ocean-acoustics) and, in general, wave propagation problems - computational aspects of the interface between aero-, seismo- and ocean-acoustics - new solution techniques that have been made possible with the advent of new computer architectures such as parallel computers, super (pipeline) computers, hypercubes, etc.
Download or read book Reviews in Partial Differential Equations 1980 86 as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the National Science Council Republic of China written by and published by . This book was released on 1983 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1979 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Formulas of Acoustics written by F.P. Mechel and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This application-orientated collection of formulas has been written by applied scientists and industrial engineers for design professionals and students who work in engineering acoustics. It is subdivided into the most important fields of applied acoustics, each dealing with a well-defined type of problem. It provides easy and rapid access to profound and comprehensive information. In order to keep the text as concise as possible, the derivation of a formula is described as briefly as possible and the reader is referred to the original source. Besides the formulas, useful principles and computational procedures are given.
Download or read book American Book Publishing Record written by and published by . This book was released on 1996 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
