Download or read book Gaussian Random Functions written by M.A. Lifshits and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that the normal distribution is the most pleasant, one can even say, an exemplary object in the probability theory. It combines almost all conceivable nice properties that a distribution may ever have: symmetry, stability, indecomposability, a regular tail behavior, etc. Gaussian measures (the distributions of Gaussian random functions), as infinite-dimensional analogues of tht

Download or read book Random Functions and Hydrology written by Rafael L. Bras and published by Courier Corporation. This book was released on 1993-01-01 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced-level view of the tools of random processes and field theory as applied to the analysis and synthesis of hydrologic phenomena. Topics include time-series analysis, optimal estimation, optimal interpolation (Kriging), frequency-domain analysis of signals, and linear systems theory. Techniques and examples chosen to illustrate the latest advances in hydrologic signal analysis. Useable as graduate-level text in water resource systems, stochastic hydrology, random processes and signal analysis. 202 illustrations.

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 An Introduction to the Theory of Stationary Random Functions written by A. M. Yaglom and published by Courier Corporation. This book was released on 2004-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part treatment covers the general theory of stationary random functions and the Wiener-Kolmogorov theory of extrapolation and interpolation of random sequences and processes. Beginning with the simplest concepts, it covers the correlation function, the ergodic theorem, homogenous random fields, and general rational spectral densities, among other topics. Numerous examples appear throughout the text, with emphasis on the physical meaning of mathematical concepts. Although rigorous in its treatment, this is essentially an introduction, and the sole prerequisites are a rudimentary knowledge of probability and complex variable theory. 1962 edition.

Download or read book Problems in Probability Theory Mathematical Statistics and Theory of Random Functions written by A. A. Sveshnikov and published by Courier Corporation. This book was released on 2012-04-30 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 The Theory of Hash Functions and Random Oracles written by Arno Mittelbach and published by Springer Nature. This book was released on 2021-01-19 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hash functions are the cryptographer’s Swiss Army knife. Even though they play an integral part in today’s cryptography, existing textbooks discuss hash functions only in passing and instead often put an emphasis on other primitives like encryption schemes. In this book the authors take a different approach and place hash functions at the center. The result is not only an introduction to the theory of hash functions and the random oracle model but a comprehensive introduction to modern cryptography. After motivating their unique approach, in the first chapter the authors introduce the concepts from computability theory, probability theory, information theory, complexity theory, and information-theoretic security that are required to understand the book content. In Part I they introduce the foundations of hash functions and modern cryptography. They cover a number of schemes, concepts, and proof techniques, including computational security, one-way functions, pseudorandomness and pseudorandom functions, game-based proofs, message authentication codes, encryption schemes, signature schemes, and collision-resistant (hash) functions. In Part II the authors explain the random oracle model, proof techniques used with random oracles, random oracle constructions, and examples of real-world random oracle schemes. They also address the limitations of random oracles and the random oracle controversy, the fact that uninstantiable schemes exist which are provably secure in the random oracle model but which become insecure with any real-world hash function. Finally in Part III the authors focus on constructions of hash functions. This includes a treatment of iterative hash functions and generic attacks against hash functions, constructions of hash functions based on block ciphers and number-theoretic assumptions, a discussion of privately keyed hash functions including a full security proof for HMAC, and a presentation of real-world hash functions. The text is supported with exercises, notes, references, and pointers to further reading, and it is a suitable textbook for undergraduate and graduate students, and researchers of cryptology and information security.

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 Some Random Series of Functions written by Jean-Pierre Kahane and published by Cambridge University Press. This book was released on 1985 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter of Some Random Series of Functions is important and has wide application in mathematics, statistics, engineering, and physics.

Download or read book Stochastic Climate Theory written by Serguei G. Dobrovolski and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes the stochastic (probabilistic) approach to the study of changes in the climate system. Climatic data and theoretical considerations suggest that a large part of climatic variation/variability has a random nature and can be analyzed using the theory of stochastic processes. This work summarizes the results of processing existing records of climatic parameters as well as appropriate theories: from the theory of random processes (based on the results of Kolmogorov and Yaglom) and Hasselmann's "stochastic climate model theory" to recently obtained results.

Download or read book Morphological Models of Random Structures written by Dominique Jeulin and published by Springer Nature. This book was released on 2021-06-01 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes.The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.

Download or read book Aerospace Instrumentation written by M. A. Perry and published by Elsevier. This book was released on 2015-05-18 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aerospace Instrumentation, Volume 4 is a collection of papers presented at the Fourth International Aerospace Instrumentation Symposium, held at the College of Aeronautics, Cranfield. Co-sponsored by the Instrument Society of America, the symposium covers most aspects of aerospace instrumentation. This book is composed of 14 chapters and begins with a description of strain gauge transducers, an introduction to noise, filtering, and random function, as well as the data analysis facility designed to satisfy the needs in the fields of fundamental research and major power plant design and commissioning. A chapter examines equipment for the analysis of random processes for low frequence purposes. Other chapters explore the measurement and analysis of rotor blade airloads, the application of digital computer to instrumentation systems, the features of an altitude test facility, and the trade-offs existing between analogue and digital filtering techniques. The last chapters are devoted to test methods for aircraft performance, stability, and control characteristics determination in non-steady flight. These chapters also treat the operational experience of the B-70 flight test data system. This book will prove useful to aerospace scientists, engineers and research workers.

Download or read book Probability and Statistics written by Cain Mckay and published by Scientific e-Resources. This book was released on 2019-01-30 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Cryptography written by Ran Canetti and published by Springer. This book was released on 2008-02-26 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Fifth Theory of Cryptography Conference, TCC 2008. It covers the paradigms, approaches and techniques used to conceptualize, define and provide solutions to natural cryptographic problems.

Download or read book Advanced Free Space Optics FSO written by Arun K. Majumdar and published by Springer. This book was released on 2014-09-10 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title provides a comprehensive, unified tutorial covering the most recent advances in the emerging technology of free-space optics (FSO), a field in which interest and attention continue to grow along with the number of new challenges. This book is intended as an all-inclusive source to serve the needs of those who require information about the fundamentals of FSO, as well as up-to-date advanced knowledge of the state-of-the-art in the technologies available today. This text is intended for graduate students, and will also be useful for research scientists and engineers with an interest in the field. FSO communication is a practical solution for creating a three dimensional global broadband communications grid, offering bandwidths far beyond what is possible in the Radio Frequency (RF) range. However, the attributes of atmospheric turbulence and scattering impose perennial limitations on availability and reliability of FSO links. From a systems point-of-view, this groundbreaking book provides a thorough understanding of channel behavior, which can be used to design and evaluate optimum transmission techniques that operate under realistic atmospheric conditions. Topics addressed include: • FSO Physical and Statistical Models: Single/Multiple Inputs/Outputs • Understanding FSO: Theory and Systems Analysis • Modulation and Coding for Free-Space Optical Channels • Atmospheric Mitigation and Compensation for FSO Links • Non-line-of-sight (NLOS) Ultraviolet and Indoor FSO Communications • FSO Platforms: UAV and Mobile • Retromodulators for Free Space Data links • Hybrid Optical RF Communications • Free-space and Atmospheric Quantum Communications • Other related topics: Chaos-based and Terahertz (THz) FSO Communications

Download or read book Fiftieth Anniversary 1912 1962 written by Institute of Radio Engineers and published by . This book was released on 1962 with total page 1190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1967 with total page 1370 pages. Available in PDF, EPUB and Kindle. Book excerpt: