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Advances in Artificial Systems for Medicine and Education
Zhengbing Hu, Matthew He, and Sergey Petoukhov
This book presents an overview of the latest artificial intelligence systems and methods, which have a broad spectrum of effective and sometimes unexpected applications in medical, educational and other fields of sciences and technology. In digital artificial intelligence systems, scientists endeavor to reproduce the innate intellectual abilities of human and other organisms, and the in-depth study of genetic systems and inherited biological processes can provide new approaches to create more and more effective artificial intelligence methods. The book focuses on the intensive development of bio-mathematical studies on living organism patents, which ensure the noise immunity of genetic information, its quasi-holographic features, and its connection with the Boolean algebra of logic used in technical artificial intelligence systems. In other words, the study of genetic systems and creation of methods of artificial intelligence go hand in hand, mutually enriching enrich each other.
These proceedings comprise refereed papers presented at the 1st International Conference of Artificial Intelligence, Medical Engineering, and Education (AIMEE2017), held at the Mechanical Engineering Institute of the Russian Academy of Sciences, Moscow, Russia on 21–23 August 2017. The topics discussed include advances in thematic mathematics and bio-mathematics; advances in thematica medical approaches; and advances in thematic technological and educational approaches.
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 and bioinformatics systems as well as their growing applications.
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Localized Activity States for Neuronal Field Equations of Feature Selectivity in a Stimulus Space with Toroidal Topology
Evan Haskell and Vehbi Emrah Paksoy
Book Description: Nonlinear Dynamics of Complex Systems describes chaos, fractal and stochasticities within celestial mechanics, financial systems and biochemical systems. Part I discusses methods and applications in celestial systems and new results in such areas as low energy impact dynamics, low-thrust planar trajectories to the moon and earth-to-halo transfers in the sun, earth and moon. Part II presents the dynamics of complex systems including bio-systems, neural systems, chemical systems and hydro-dynamical systems. Finally, Part III covers economic and financial systems including market uncertainty, inflation, economic activity and foreign competition and the role of nonlinear dynamics in each.
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Concise Encyclopaedia of Bioinformatics and Computational Biology
Matthew He
Concise Encyclopaedia of Bioinformatics and Computational Biology, 2nd Edition is a fully revised and updated version of this acclaimed resource. The book provides definitions and often explanations of over 1000 words, phrases and concepts relating to this fast-moving and exciting field, offering a convenient, one-stop summary of the core knowledge in the area. This second edition is an invaluable resource for students, researchers and academics.
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Mathematics of Bioinformatics : Theory, Practice, and Applications
Matthew He and Sergey Petukhov
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.
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Matrix Theory: Basic Results and Techniques
Fuzhen Zhang
The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for senior undergraduate or graduate students. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields.
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Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications
Matthew He and Sergey V. Petukhov
Mathematical and symmetrical analysis of the structure of molecular systems of genetic code has essential meaning for the bioinformatics, biomathematics, and biotechnology fields. Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications adds unique and novel value to the literature in these areas, compiling studies that demonstrate effective approaches to the structural analysis of genetic systems and bioinformatics. This groundbreaking reference advances the knowledge available to researchers, educators, and students about new mathematical methods and tools, phenomenological results and interdisciplinary connections in the fields of molecular genetics, bioinformatics, computer informatics, and mathematical and theoretical biology.
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Linear Algebra: Challenging Problems for Students
Fuzhen Zhang
Linear algebra is a prerequisite for students majoring in mathematics and is required of many undergraduate and first-year graduate students in statistics, engineering, and related areas. This fully updated and revised text defines the discipline's main terms, explains its key theorems, and provides over 425 example problems ranging from the elementary to some that may baffle even the most seasoned mathematicians. Vital concepts are highlighted at the beginning of each chapter and a final section contains hints for solving the problems as well as solutions to each example. Based on Fuzhen Zhang's experience teaching and researching algebra over the past two decades, Linear Algebra is the perfect examination study tool. Students in beginning and seminar-type advanced linear algebra classes and those seeking to brush up on the topic will find Zhang's plain discussions of the subject's theories refreshing and the problems diverse, interesting, and challenging.
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Architecture of Approximate Deconvolution Models of Turbulence
A. Labovschii, W. Layton, C. Manica, M. Neda, L. Rebholz, Iuliana Stanculescu, and C. Trenchea
This report presents the mathematical foundation of approximate deconvolution LES models together with the model phenomenology downstream of the theory. This mathematical foundation now begins to be complete for the incompressible Navier–Stokes equations. It is built upon averaging, deconvolving and addressing closure so as to obtain the physically correct energy and helicity balances in the LES model. We show how this is determined and how correct energy balance implies correct prediction of turbulent statistics. Interestingly, the approach is simple and thus gives a road map to develop models for more complex turbulent flows. We illustrate this herein for the case of MHD turbulence.
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The Schur Complement and Its Applications
Fuzhen Zhang
Describes the Schur complement as a tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. This book covers themes and variations on the Schur complement. It is useful for graduate and advanced undergraduate courses in mathematics, applied mathematics, and statistics.
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Powers of Generalized Fibonacci Matrix
Matthew He and Paolo E. Ricci
The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.
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Matrix Theory: Basic Results and Techniques
Fuzhen Zhang
The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory." "The book can be used as a text or a supplement for a linear algebra and matrix theory class or seminar for advanced undergraduate or graduate students. The only prerequisite is a decent background in elementary linear algebra and calculus. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other related fields.
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Linear Algebra: Challenging Problems for Students
Fuzhen Zhang
Linear algebra is a prerequisite for students majoring in mathematics and is required of many undergraduate and first-year graduate students in statistics, engineering, and related areas. This fully updated and revised text defines the discipline's main terms, explains its key theorems, and provides over 425 example problems ranging from the elementary to some that may baffle even the most seasoned mathematicians. Vital concepts are highlighted at the beginning of each chapter and a final section contains hints for solving the problems as well as solutions to each example. Based on Fuzhen Zhang's experience teaching and researching algebra over the past two decades, Linear Algebra is the perfect examination study tool. Students in beginning and seminar-type advanced linear algebra classes and those seeking to brush up on the topic will find Zhang's plain discussions of the subject's theories refreshing and the problems diverse, interesting, and challenging.
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Chinese Translation of: A Survey of Matrix Theory and Matrix Inequalities
Marvin Marcus and Henryk Minc
This is a Chinese translation of the famous Marcus and Minc's famous book.
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Secondary Operations in K-theory and the Generalized Vector Field Problem
Wolf Iberkleid and Sam Feder
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Plasma instabilities and anomalous transport; proceedings of a conference, with a collection of reprints
William B. Pardo, Harry S. Robertson, Lawrence Carl Hawkins, and Edward Currie
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