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Author: Rao K. Yarlagadda
Publisher: Springer
ISBN: 9781461563143
Category : Technology & Engineering
Languages : en
Pages : 123
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Book Description
Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing presents the basic concepts of Sylvester's construction of Hadamard matrices, the eigenvalue-eigenvector decompositions, along with its relationship to Fourier transforms. Relevant computational structures are included for those interested in implementing the Hadamard transform. The 2-dimensional Hadamard transform is discussed in terms of a 1- dimensional transform. The applications presented touch on statistics, error correction coding theory, communications signaling, Boolean function analysis and synthesis, image processing, sequence theory (maximal length binary sequences, composite sequences, and Thue-Morse sequences) and signal representation. An interesting application of the Hadamard transform to images is the Naturalness Preserving Transform (NPT), which is presented. The NPT provides a way to encode an image that can be reconstructed when it is transmitted through a noisy or an unfriendly channel. The potential applications of the Hadamard transform are wide and the book samples many of the important concepts among a vast field of applications of the transform. Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing serves as an excellent reference source and may be used as a text for advanced courses on the topic.
Author: Rao K. Yarlagadda
Publisher: Springer
ISBN: 9781461563143
Category : Technology & Engineering
Languages : en
Pages : 123
Get Book Here
Book Description
Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing presents the basic concepts of Sylvester's construction of Hadamard matrices, the eigenvalue-eigenvector decompositions, along with its relationship to Fourier transforms. Relevant computational structures are included for those interested in implementing the Hadamard transform. The 2-dimensional Hadamard transform is discussed in terms of a 1- dimensional transform. The applications presented touch on statistics, error correction coding theory, communications signaling, Boolean function analysis and synthesis, image processing, sequence theory (maximal length binary sequences, composite sequences, and Thue-Morse sequences) and signal representation. An interesting application of the Hadamard transform to images is the Naturalness Preserving Transform (NPT), which is presented. The NPT provides a way to encode an image that can be reconstructed when it is transmitted through a noisy or an unfriendly channel. The potential applications of the Hadamard transform are wide and the book samples many of the important concepts among a vast field of applications of the transform. Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing serves as an excellent reference source and may be used as a text for advanced courses on the topic.
Author: Sergei V Petoukhov
Publisher: World Scientific
ISBN: 981127827X
Category : Science
Languages : en
Pages : 616
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Book Description
Historically, mathematics, probability, and statistics have been widely used in the biological sciences. Recent progress in genomics has yielded many millions of gene sequences. But what do these sequences tell us and what are the generalities and rules governed by them? It seems that we understand very little about the genetic contexts required to 'read' them. There is more to life than the genomic blueprint of each organism. Life functions within the natural laws that we know and the ones we do not know. The development of modern mathematical natural sciences is based on the use of certain mathematical tools. Mathematics can be used to understand life from the molecular to the biosphere level.This book provides the foundation and latest advances for an emerging research area that uses tools from symbolic computation, computer algebra and logic, algebraic geometry, fractal geometry, probability and statistics, and matrix algebra to formalize and solve biological problems and explore its applications in algebraic biology and code biology. It introduces highly interdisciplinary topics in biomathematics such as matrix genetics, gestalt biology, bio-antenna arrays, resonance genetics, quantum biology, and more.
Author: Matthew He
Publisher: John Wiley & Sons
ISBN: 1118099524
Category : Computers
Languages : en
Pages : 231
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Book Description
Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.
Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 3319312812
Category : Mathematics
Languages : en
Pages : 745
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Book Description
Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.
Author: Petoukhov, Sergey
Publisher: IGI Global
ISBN: 1605661252
Category : Computers
Languages : en
Pages : 290
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Book Description
"This book compiles studies that demonstrate effective approaches to the structural analysis of genetic systems and bioinformatics"--Provided by publisher.
Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 3319898159
Category : Mathematics
Languages : en
Pages : 932
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Book Description
New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.
Author: Vincent Toal
Publisher: CRC Press
ISBN: 1000785645
Category : Science
Languages : en
Pages : 812
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Book Description
This fully updated second edition of Introduction to Holography provides a theoretical background in optics and holography with a comprehensive survey of practical applications. It is intended for the non-specialist with an interest in using holographic methods in research and engineering. The text assumes some knowledge of electromagnetism, although this is not essential for an understanding of optics, which is covered in the first two chapters. A descriptive approach to the history and principles of holography is followed by a chapter on volume holography. Essential practical requirements for successful holographic recording are explained in detail. Recording materials are considered with detailed discussions of those in common use. Properties peculiar to holographically reconstructed images are emphasised as well as applications for which holography is particularly suitable. Mathematical tools are introduced as and when required throughout the text with important results derived in detail. In this new edition, topics such as photopolymers, dynamic holographic displays, holographic optical elements, sensors, and digital holography are covered in greater depth. New topics have been added, including UV and infrared holography, holographic authentication and encryption, as well as particle beam, X-ray, and acoustic holography. Numerical problems are provided at the end of each chapter. This book is suitable for undergraduate courses and will be an important resource for those teaching optics and holography. It provides scientists and engineers with knowledge of a wide range of holographic applications in research and industry, as well as an understanding of holography’s potential for future use.
Author: Richard Bellman
Publisher: SIAM
ISBN: 0898713994
Category : Mathematics
Languages : en
Pages : 424
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Book Description
Lucid and concise, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods.
Author: Zhengbing Hu
Publisher: Springer Nature
ISBN: 3031038770
Category : Technology & Engineering
Languages : en
Pages : 394
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Book Description
The book’s general scope covers the latest advances in the development of artificial intelligence systems and their applications in engineering and manufacturing. The book comprises refereed papers presented at the International Symposium on Engineering and Manufacturing (ISEM2021), held in Kyiv, Ukraine, on December 24–26, 2021. Given the rapid development of artificial intelligence systems, the book emphasizes the need for the intensification of training of a growing number of relevant specialists, in particular in engineering and manufacturing, to increase the effectiveness of the creation and diagnosis of appropriate technical solutions. In digital artificial intelligence systems, scientists endeavor to reproduce the innate intellectual abilities of humans and other organisms. In-depth studies of biological and self-organizing systems can provide new approaches to create more and more effective artificial intelligence methods. The topics of the included papers concern thematic materials in the following spheres: mathematics and computer algorithms; analysis of some technical solutions; technological. The book is a compilation of state-of-the-art papers in the field, covering a comprehensive range of subjects that are relevant to business managers and engineering professionals alike. The breadth and depth of these proceedings make them an excellent resource for asset management practitioners, researchers, and academics, as well as undergraduate and postgraduate students interested in artificial intelligence systems and their growing applications. Specialists, students, and other groups of people who want to know how artificial intelligence systems can be used in the future will be the target audience for this book.
Author: Junghuei Chen
Publisher: Springer Science & Business Media
ISBN: 3540209301
Category : Computers
Languages : en
Pages : 236
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Book Description
This book constitutes the thoroughly refereed post-proceedings of the 9th International Workshop on DNA Based Computers, DNA9, held in Madison, Wisconsin, USA in June 2003. The 22 revised full papers presented were carefully selected during two rounds of reviewing and improvement from initially 60 submissions. The papers are organized in topical sections on new experiments and tools, theory, computer simulation and sequence design, self-assembly and autonomous molecular computation, experimental solutions, and new computing models.
