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Walsh Series and Transforms

Walsh Series and Transforms Author : B. Golubov
Release : 2012-12-06
Publisher : Springer Science & Business Media
ISBN : 9401132887
File Size : 68.43 MB
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'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y se.rais point aile.' human race. It has put common sense back Jules Verne where it belongs, on!be topmost shelf next to the dusty canister labelled 'disc:arded non sense'. The series is divergent; therefore we may be 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.

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations Author : Radomir Stankovic
Release : 2015-12-29
Publisher : Springer
ISBN : 9462391637
File Size : 66.37 MB
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The second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications. Considered are dyadic derivatives on Vilenkin groups and various other Abelian and finite non-Abelian groups. Since some important results were developed in former Soviet Union and China, we provide overviews of former work in these countries. Further, we present translations of three papers that were initially published in Chinese. The presentation continues with chapters written by experts in the area presenting discussions of applications of these results in specific tasks in the area of signal processing and system theory. Efficient computing of related differential operators on contemporary hardware, including graphics processing units, is also considered, which makes the methods and techniques of dyadic analysis and generalizations computationally feasible. The volume 2 of the book ends with a chapter presenting open problems pointed out by several experts in the area.

Walsh Series, An Introduction to Dyadic Harmonic Analysis

Walsh Series, An Introduction to Dyadic Harmonic Analysis Author : Ferenc Schipp
Release : 1990-10
Publisher : CRC Press
File Size : 59.38 MB
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This book provides a broadly based, theoretical monograph on the Walsh System, a system that is the simplest non-trivial model for harmonic analysis and shares many properties with the trigonometric system. It gives a thorough introduction to foundations of Walsh-Fourier analysis introducing the main techniques and fundamental problems in a way that makes the literature accessible. It also shows how the theory of Walsh-Fourier analysis relates to other aspects of harmonic analysis. The book will be of interest to postgraduate students in pure and applied mathematics, and those studying numerical analysis and computational mathematics.

Advanced Calculus

Advanced Calculus Author : Edward Walsh
Release : 2006-01
Publisher : Trafford on Demand Pub
ISBN : 9781412080415
File Size : 50.23 MB
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The Laplace Transform is used to solve initial value problems involving differential equations. All steps included. Conventional methods are also discussed.

Encyclopaedia of Mathematics, Supplement III

Encyclopaedia of Mathematics, Supplement III Author : Michiel Hazewinkel
Release : 2001-12-31
Publisher : Springer Science & Business Media
ISBN : 9781402001987
File Size : 53.91 MB
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This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Mathematical Analysis and Its Applications

Mathematical Analysis and Its Applications Author : S. M. Mazhar
Release : 2014-05-17
Publisher : Elsevier
ISBN : 1483148114
File Size : 89.28 MB
Format : PDF
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Mathematical Analysis and its Applications covers the proceedings of the International Conference on Mathematical Analysis and its Applications. The book presents studies that discuss several mathematical analysis methods and their respective applications. The text presents 38 papers that discuss topics, such as approximation of continuous functions by ultraspherical series and classes of bi-univalent functions. The representation of multipliers of eigen and joint function expansions of nonlocal spectral problems for first- and second-order differential operators is also discussed. The book will be of great interest to researchers and professionals whose work involves the use of mathematical analysis.

Application of Walsh Functions

Application of Walsh Functions Author :
Release : 1973
Publisher :
File Size : 51.87 MB
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Proceedings of the Symposium on the Applications of Walsh Functions.

Microprocessor-Based Control Systems

Microprocessor-Based Control Systems Author : N.K. Sinha
Release : 2012-12-06
Publisher : Springer Science & Business Media
ISBN : 9400947089
File Size : 55.54 MB
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Recent advances in LSI technology and the consequent availability of inexpensive but powerful microprocessors have already affected the process control industry in a significant manner. Microprocessors are being increasingly utilized for improving the performance of control systems and making them more sophisticated as well as reliable. Many concepts of adaptive and learning control theory which were considered impractical only 20 years ago are now being implemented. With these developments there has been a steady growth in hardware and software tools to support the microprocessor in its complex tasks. With the current trend of using several microprocessors for performing the complex tasks in a modern control system, a great deal of emphasis is being given to the topic of the transfer and sharing of information between them. Thus the subject of local area networking in the industrial environment has become assumed great importance. The object of this book is to present both hardware and software concepts that are important in the development of microprocessor-based control systems. An attempt has been made to obtain a balance between theory and practice, with emphasis on practical applications. It should be useful for both practicing engineers and students who are interested in learning the practical details of the implementation of microprocessor-based control systems. As some of the related material has been published in the earlier volumes of this series, duplication has been avoided as far as possible.

The Discrete Fourier Transform

The Discrete Fourier Transform Author : D. Sundararajan
Release : 2001
Publisher : World Scientific
ISBN : 9810245211
File Size : 66.43 MB
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This authoritative book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large number of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of C-language programs (a supplement to the book) help greatly in understanding the theory and algorithms. Discrete Fourier analysis is covered first, followed by the continuous case, as the discrete case is easier to grasp and is very important in practice.This book will be useful as a text for regular or professional courses on Fourier analysis, and also as a supplementary text for courses on discrete signal processing, image processing, communications engineering and vibration analysis.Errata(s)Preface, Page viii? above links should be replaced with?

Orthonormal Systems and Banach Space Geometry

Orthonormal Systems and Banach Space Geometry Author : Albrecht Pietsch
Release : 1998-09-10
Publisher : Cambridge University Press
ISBN : 9780521624626
File Size : 90.93 MB
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This book describes the interplay between orthonormal expansions and Banach space geometry.

Transforms for Engineers

Transforms for Engineers Author : K. G. Beauchamp
Release : 1987
Publisher : Oxford University Press, USA
File Size : 33.19 MB
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Provides a guide to signal-processing techniques and a wide variety of applications. It shows the range and use of the many alternative fast orthogonal transform algorithms now becoming available.

Fast Transforms Algorithms, Analyses, Applications

Fast Transforms Algorithms, Analyses, Applications Author : Douglas F. Elliott
Release : 1983-03-09
Publisher : Elsevier
ISBN : 0080918069
File Size : 35.57 MB
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This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

Applied Walsh Analysis

Applied Walsh Analysis Author : Mohammad Maqusi
Release : 1981
Publisher :
File Size : 71.64 MB
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Time Sequence Analysis in Geophysics: Third Edition

Time Sequence Analysis in Geophysics: Third Edition Author : E. R. Kanasewich
Release : 1981
Publisher : University of Alberta
ISBN : 9780888640741
File Size : 81.57 MB
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Time sequence analysis is the study of relations between a sequence of data points or sequence of signals in order to determine the physical properties of the earth. Providing an up-to-date treatment on time series and time sequence, this book is intended for senior or graduate students in seismology, geomagnetism and exploratory geophysics.

Introduction to Orthogonal Transforms

Introduction to Orthogonal Transforms Author : Ruye Wang
Release : 2012-03-08
Publisher : Cambridge University Press
ISBN : 0521516889
File Size : 65.41 MB
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A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.