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Connects scientific understandings of acoustics with practical applications to musical performance. Of central importance are the tonal characteristics of musical instruments and the singing voice including detailed representations of directional characteristics. Furthermore, room acoustical concerns related to concert halls and opera houses are considered. Based on this, suggestions are made for musical performance. Included are seating arrangements within the orchestra and adaptation of performance techniques to the performance environment. This presentation dispenses with complicated mathematical connections and aims for conceptual explanations accessible to musicians, particularly for conductors. The graphical representations of the directional dependence of sound radiation by musical instruments and the singing voice are unique. This German edition has become a standard reference work for audio engineers and scientists.

Acoustical engineering. --- Conducting. --- Harmonic analysis --Congresses. --- Lie algebras --Congresses. --- Lie groups --Congresses. --- Music --Acoustics and physics. --- Music --Performance. --- Theaters --Acoustic properties. --- Music --- Acoustical engineering --- Conducting --- Theaters --- Acoustics & Sound --- Music Philosophy --- Physics --- Music, Dance, Drama & Film --- Physical Sciences & Mathematics --- Acoustics and physics --- Performance --- Acoustic properties --- Acoustics and physics. --- Performance. --- Acoustic properties. --- Opera-houses --- Playhouses (Theaters) --- Theatres --- Acoustic engineering --- Sonic engineering --- Sonics --- Sound engineering --- Sound-waves --- Musical acoustics --- Musical performance --- Performance of music --- Band conducting --- Conducting (Music) --- Music conducting --- Orchestra conducting --- Industrial applications --- Physics. --- Acoustics. --- Engineering Acoustics. --- 517 <061.3> --- 517.9 --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 517 <061.3> Analysis--?<061.3> --- Analysis--?<061.3> --- Harmonic analysis. Fourier analysis --- Ergodic theory. Information theory --- 519.2 --- 519.2 Probability. Mathematical statistics --- Probability. Mathematical statistics --- Engineering --- Arts facilities --- Auditoriums --- Centers for the performing arts --- Music-halls --- Sound --- Monochord --- Harmonic analysis --- Lie algebras --- Lie groups --- Congresses. --- Ergodic theory --- Topological dynamics --- Acoustics in engineering. --- Théorie ergodique --- Théorie ergodique. --- Systèmes dynamiques --- Systèmes dynamiques --- Théorie ergodique --- Analyse harmonique

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Introductory Statistics and Random Phenomena integrates traditional statistical data analysis with new computational experimentation capabilities and concepts of algorithmic complexity and chaotic behavior in nonlinear dynamic systems.  This was the first advanced text/reference to bring together such a comprehensive variety of tools for the study of random phenomena occurring in engineering and the natural, life, and social sciences. The crucial computer experiments are conducted using the readily available computer program Mathematica® Uncertain Virtual Worlds™ software packages which optimize and facilitate the simulation environment.  Brief tutorials are included that explain how to use theMathematica® programs for effective simulation and computer experiments.  Large and original real-life data sets are introduced and analyzed as a model for independent study. This is an excellent classroom tool and self-study guide.  The material is presented in a clear and accessible style providing numerous exercises and bibliographical notes suggesting further reading. Topics and Features Comprehensive and integrated treatment of uncertainty arising in engineering and scientific phenomena – algorithmic complexity, statistical independence, and nonlinear chaotic behavior Extensive exercise sets, examples, and Mathematica® computer experiments that reinforce concepts and algorithmic methods Thorough presentation of methods of data compression and representation Algorithmic approach to model selection and design of experiments Large data sets and 13 Mathematica®-based Uncertain Virtual Worlds™ programs and code This text is an excellent resource for all applied statisticians, engineers, and scientists who need to use modern statistical analysis methods to investigate and model their data.  The present, softcover reprint is designed to make this classic textbook available to a wider audience. Reviews Highly data-oriented, with an unusually large collection of real-life examples taken from industry and various scientific disciplines… The book departs from the standard fare, by [also] including detailed coverage of such contemporary topics as chaotic dynamical systems, the nature of randomness, computability and Kolmogorov complexity, encryption, ergodicity, entropy, and even fractals. —Short Book Reviews, International Statistical Institute I find [this book] to be an excellent textbook, and I strongly recommend it as an introductory technical statistics course to engineering and science students who have had a basic programming course in computer science. I expect it to become a classic.    <—Mathematical Reviews.

Statistical science --- Computer science --- computers --- informatica --- statistiek --- informaticaonderzoek --- computerkunde --- statistisch onderzoek

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This volume presents some of the most influential papers published by Rabi N. Bhattacharya, along with commentaries from international experts, demonstrating his knowledge, insight, and influence in the field of probability and its applications. For more than three decades, Bhattacharya has made significant contributions in areas ranging from theoretical statistics via analytical probability theory, Markov processes, and random dynamics to applied topics in statistics, economics, and geophysics. Selected reprints of Bhattacharya’s papers are divided into three sections: Modes of Approximation, Large Times for Markov Processes, and Stochastic Foundations in Applied Sciences. The accompanying articles by the contributing authors not only help to position his work in the context of other achievements, but also provide a unique assessment of the state of their individual fields, both historically and for the next generation of researchers. Rabi N. Bhattacharya: Selected Papers will be a valuable resource for young researchers entering the diverse areas of study to which Bhattacharya has contributed. Established researchers will also appreciate this work as an account of both past and present developments and challenges for the future.

Statistical science --- Operational research. Game theory --- Mathematical statistics --- Probability theory --- Mathematics --- Business economics --- waarschijnlijkheidstheorie --- stochastische analyse --- statistiek --- econometrie --- wiskunde --- kansrekening --- statistisch onderzoek

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Ergodic theory. Information theory --- 519.2 --- Probability. Mathematical statistics --- Topological dynamics. --- Ergodic theory. --- Metric spaces. --- Compact spaces. --- 519.2 Probability. Mathematical statistics --- Systèmes dynamiques --- Systèmes dynamiques --- Theorie ergodique --- Topological dynamics