Download or read book Applied Methods of the Theory of Random Functions written by Aram Aruti︠u︡novich Sveshnikov and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Methods of the Theory of Random Functions written by A. A. Sveshnikov and published by Elsevier. This book was released on 2014-07-21 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Pure and Applied Mathematics, Volume 89: Applied Methods of the Theory of Random Functions presents methods of random functions analysis with their applications in various branches of technology, such as in the theory of ships, automatic regulation and control, and radio engineering. This book discusses the general properties of random functions, spectral theory of stationary random functions, and determination of optimal dynamical systems. The experimental methods for the determination of characteristics of random functions, method of envelopes, and some supplementary problems of the theory of random functions are also deliberated. This publication is intended for engineers and scientists who use the methods of the theory of probability in various branches of technology.
Download or read book Applied Methods of the Theory of Random Functions written by A. G. Sveshnikov and published by Reader's Digest Young Families. This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Methods of the Theory of Random Functions Aram A Sveshnikov written by Aram A. Svešnikov and published by . This book was released on 1966 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Methods of the Theory of Random Functions written by Aram Aruti︠u︡novich Sveshnikov and published by . This book was released on 1966 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Method of the Theory of Random Functions written by Aram Arutiunovich Sveshnikov and published by . This book was released on 1966 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Random Functions written by V. S. Pugachev and published by Elsevier. This book was released on 2013-10-22 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Random Functions and Its Application to Control Problems presents insights into a branch of probability theory, the theory of random functions, which studies and takes into account the effects of random factors on the functioning of control systems. The book does not require a high level of competency in the use of mathematical techniques and explains the basics of probability theory before focusing on the concepts of the theory of random functions. The selection also discusses in great detail the aspects of random functions and provides chapters that cover the determination and solution to problems of optimal systems. The text will be of value to telecommunications engineers, aeronautical engineers, meteorologists, seismologists, and other professionals engaged in applied sciences.
Download or read book Applied Methods of the Theory of Random Functions Translated by J Berry Translation Edited by L Haller written by Aram Arutiunovich SVESHNIKOV and published by . This book was released on 1966 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Problems in Probability Theory Mathematical Statistics and Theory of Random Functions written by Aram Aruti?u?novich Sveshnikov and published by Courier Corporation. This book was released on 1978-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.
Download or read book Correlation Theory of Stationary and Related Random Functions written by A.M. Yaglom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Correlation Theory of Stationary and Related Random Functions is an elementary introduction to the most important part of the theory dealing only with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so important in many areas of engineering and other applications. This book presents the theory in such a way that it can be understood by readers without specialized mathematical backgrounds, requiring only the knowledge of elementary calculus. The first volume in this two-volume exposition contains the main theory; the supplementary notes and references of the second volume consist of detailed discussions of more specialized questions, some more additional material (which assumes a more thorough mathematical background than the rest of the book) and numerous references to the extensive literature.
Download or read book Theory of Random Functions and Its Application to Problems of Automatic Control written by Vladimir Semenovich Pugachev and published by . This book was released on 1959 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic presentation of the applied theory of random functions and probability methods in the theory of automatic control (statistical dynamics of systems of automatic control). The latest methods of investigating the accuracy of systems of automatic controls, operating under the influence of arbitrary random disturbances, both stationary and nonstationary, are set forth. Methods for investigating the accuracy are provided not only for unidimensional but also for multidimensional systems having any arbitrary number of inputs and outputs. A considerable portion of the book is devoted to methods for investigating the accuracy of nonlinear systems. Special attention is given to modern methods of determining the optimum characteristics of systems of automatic control (methods of statistical synthesis of systems of automatic control), based on the general theory of approximation of random functions. The theory of random functions and the probability methods of the theory of automatic control are set forth in this book chiefly on the basis of the author's own work. (Author).
Download or read book Theory of Vibration Protection written by Igor A. Karnovsky and published by Springer. This book was released on 2016-05-09 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an advancement of the theory of vibration protection of mechanical systems with lumped and distributed parameters. The book offers various concepts and methods of solving vibration protection problems, discusses the advantages and disadvantages of different methods, and the fields of their effective applications. Fundamental approaches of vibration protection, which are considered in this book, are the passive, parametric and optimal active vibration protection. The passive vibration protection is based on vibration isolation, vibration damping and dynamic absorbers. Parametric vibration protection theory is based on the Shchipanov-Luzin invariance principle. Optimal active vibration protection theory is based on the Pontryagin principle and the Krein moment method. The book also contains special topics such as suppression of vibrations at the source of their occurrence and the harmful influence of vibrations on humans.“p> Numerous examples, which illustrate the theoretical ideas of each chapter, are included. This book is intended for graduate students and engineers. It is assumed that a reader has working knowledge of theory of vibrations, differential equations, andcomplex analysis. About the Authors. Igor A Karnovsky, Ph.D., Dr. Sci., is a specialist in structural analysis, theory of vibration and optimal control of vibration. He has 40 years of experience in research, teaching and consulting in this field, and is the author of more than 70 published scientific papers, including two books in Structural Analysis (published with Springer in 2010-2012) and three handbooks in Structural Dynamics (published with McGraw Hill in 2001-2004). He also holds a number of vibration-control-related patents. Evgeniy Lebed, Ph.D., is a specialist in applied mathematics and engineering. He has 10 years of experience in research, teaching and consulting in this field. The main sphere of his research interests are qualitative theory of differential equations, integral transforms and frequency-domain analysis with application to image and signal processing. He is the author of 15 published scientific papers and a US patent (2015).
Download or read book Residuation Theory written by T. S. Blyth and published by Elsevier. This book was released on 2014-07-10 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Residuation Theory aims to contribute to literature in the field of ordered algebraic structures, especially on the subject of residual mappings. The book is divided into three chapters. Chapter 1 focuses on ordered sets; directed sets; semilattices; lattices; and complete lattices. Chapter 2 tackles Baer rings; Baer semigroups; Foulis semigroups; residual mappings; the notion of involution; and Boolean algebras. Chapter 3 covers residuated groupoids and semigroups; group homomorphic and isotone homomorphic Boolean images of ordered semigroups; Dubreil-Jacotin and Brouwer semigroups; and lolimorphisms. The book is a self-contained and unified introduction to residual mappings and its related concepts. It is applicable as a textbook and reference book for mathematicians who plan to learn more about the subject.
Download or read book Theory of Automata written by Arto Salomaa and published by Elsevier. This book was released on 2014-07-10 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Automata deals with mathematical aspects of the theory of automata theory, with emphasis on the finite deterministic automaton as the basic model. All other models, such as finite non-deterministic and probabilistic automata as well as pushdown and linear bounded automata, are treated as generalizations of this basic model. The formalism chosen to describe finite deterministic automata is that of regular expressions. A detailed exposition regarding this formalism is presented by considering the algebra of regular expressions. This volume is comprised of four chapters and begins with a discussion on finite deterministic automata, paying particular attention to regular and finite languages; analysis and synthesis theorems; equivalence relations induced by languages; sequential machines; sequential functions and relations; definite languages and non-initial automata; and two-way automata. The next chapter describes finite non-deterministic and probabilistic automata and covers theorems concerning stochastic languages; non-regular stochastic languages; and probabilistic sequential machines. The book then introduces the reader to the algebra of regular expressions before concluding with a chapter on formal languages and generalized automata. Theoretical exercises are included, along with ""problems"" at the end of some sections. This monograph will be a useful resource for beginning graduate or advanced undergraduates of mathematics.
Download or read book Introduction to Set Theory and Topology written by Kazimierz Kuratowski and published by Elsevier. This book was released on 2014-07-10 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Set Theory and Topology describes the fundamental concepts of set theory and topology as well as its applicability to analysis, geometry, and other branches of mathematics, including algebra and probability theory. Concepts such as inverse limit, lattice, ideal, filter, commutative diagram, quotient-spaces, completely regular spaces, quasicomponents, and cartesian products of topological spaces are considered. This volume consists of 21 chapters organized into two sections and begins with an introduction to set theory, with emphasis on the propositional calculus and its application to propositions each having one of two logical values, 0 and 1. Operations on sets which are analogous to arithmetic operations are also discussed. The chapters that follow focus on the mapping concept, the power of a set, operations on cardinal numbers, order relations, and well ordering. The section on topology explores metric and topological spaces, continuous mappings, cartesian products, and other spaces such as spaces with a countable base, complete spaces, compact spaces, and connected spaces. The concept of dimension, simplexes and their properties, and cuttings of the plane are also analyzed. This book is intended for students and teachers of mathematics.
Download or read book Theory of Random Determinants written by V.L. Girko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et mm. ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point all':'' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf IIClI.t to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Download or read book Statistical Dynamics and Reliability Theory for Mechanical Structures written by Valery A. Svetlitsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph text is based on lectures delivered by author during many years for students of Applied Iechanics Department of Bauman Ioscow State Technical University. The monograph includes also analitical results of scientific research obtained in collaboration with industry. Progress in developing new equipment has called for a better understand ing of the physical peculiarities pertaining to the action of designed structures in real conditions. This is necessary for increasing the accuracy of the analysis and making these structures more reliable. It has been found that classical determined perturbations are not principal and that determinism-based methods of classical mechanics prove insufficient for understanding and explaining physical effects that arise at the operation of instruments located on moving objects, the vibration of rocket engines, the motion of a vehicle, and the action of wind and seismic loads. Therefore the necessity arose for devising a new physical model to analyze these dynamic processes and, in particular, for creating a new mathematical apparatus that would allow us to take into account non-deterministic external excitations. The theory of random processes that had been developed well enough as applied to problems of radio engineering and automatic control, where the effect produced by random excitations appeared to be commensurable with that of deterministic excitations and where the ignoring of the random ex citations would bring about incorrect results, became such an apparatus.
