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Advances in the Theory of Varieties of Semigroups
Edmond W. H. Lee
This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a comprehensive overview as well as highlighting the author’s own significant contributions to the area, this book will help establish this subfield as a matter of timely interest. Advances in the Theory of Varieties of Semigroups will appeal to researchers in universal algebra and will be particularly valuable for specialists in semigroups.
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Advances in Artificial Systems for Logistics Engineering
Zhengbing Hu, Qingying Zhang, Sergey Petoukhov, and Matthew He
This book comprises high-quality refereed research papers presented at the 2021 International Conference on Artificial Intelligence and Logistics Engineering (ICAILE2021), held in Kyiv, Ukraine, on 22–24 January 2021, organized jointly by Wuhan University of Technology, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” and the International Research Association of Modern Education and Computer Science. The topics discussed in the book include state-of-the-art papers in artificial intelligence and logistics engineering. It is an excellent source of references for researchers, graduate students, engineers, management practitioners and undergraduate students interested in artificial intelligence and their applications in logistics engineering.
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Problems in Linear Algebra and Matrix Theory
Fuzhen Zhang
This is the revised and expanded edition of the problem book Linear Algebra: Challenging Problems for Students, now entitled Problems in Linear Algebra and Matrix Theory. This new edition contains about fifty-five examples and many new problems, based on the author's lecture notes of Advanced Linear Algebra classes at Nova Southeastern University (NSU-Florida) and short lectures Matrix Gems at Shanghai University and Beijing Normal University.
The book is intended for upper division undergraduate and beginning graduate students, and it can be used as text or supplement for a second course in linear algebra. Each chapter starts with Definitions, Facts, and Examples, followed by problems. Hints and solutions to all problems are also provided.
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Hankel Tournaments and Special Oriented Graphs
Richard Brualdi and Lei Cao
[Chapter Abstract]
A Hankel tournament T of order n (an n × n Hankel tournament matrix T = [tij]) is a tournament such that i → j an edge implies (n + 1 − j) → (n + 1 − i) is also an edge (tij = tn+1−j,n+1−i) for all i and j. Hankel tournament matrices are (0, 1)-matrices which are combinatorially antisymmetric about the main diagonal and symmetric about the Hankel diagonal (the antidiagonal). Locally transitive tournaments are tournaments such that the in-neighborhood and the out-neighborhood of each vertex are transitive. Tournaments form a special class of oriented graphs. The score vectors of Hankel tournaments and of locally transitive tournaments have been characterized where each score vector of a locally transitive tournament is also a score vector of a Hankel tournament. In this paper we continue investigations into Hankel tournaments and locally transitive tournaments. We investigate Hankel cycles in Hankel tournaments and show in particular that a strongly connected Hankel tournament contains a Hankel Hamilton cycle and, in fact, is Hankel “even-pancyclic” or Hankel “odd-pancyclic.” We show that a Hankel score vector can be achieved by a Hankel “half-transitive” tournament, extending the corresponding result for score vectors of tournaments. We also consider some results on oriented graphs and the question of attainability of prescribed degrees by oriented graphs. Finally, we extend some results on 2-tournaments to Hankel 2-tournaments. In some instances we rely on the reader to extend arguments already in the literature. We illustrate our investigations with many examples.
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Advances in Computer Science for Engineering and Education II
Zhengbing Hu, Sergey Petoukhov, Ivan Dychka, and Matthew He
This book gathers high-quality, peer-reviewed research papers presented at the Second International Conference on Computer Science, Engineering and Education Applications (ICCSEEA2019), held in Kiev, Ukraine on 26–27 January 2019, and jointly organized by the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” and the International Research Association of Modern Education and Computer Science. The papers discuss state-of-the-art topics and advances in computer science; neural networks; pattern recognition; engineering techniques; genetic coding systems; deep learning and its medical applications; and knowledge representation and its applications in education. Given its scope, the book offers an excellent resource for researchers, engineers, management practitioners, and graduate and undergraduate students interested in computer science and its applications in engineering and education.
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Advances in Artificial Systems for Medicine and Education II
Zhengbing Hu, Sergey Petoukhov, and Matthew He
This book includes the proceedings of the Second International Conference of Artificial Intelligence, Medical Engineering, Education (AIMEE2018), held in Moscow, Russia, on 6–8 October 2018. The conference covered advances in the development of artificial intelligence systems and their applications in various fields, from medicine and technology to education. The papers presented in the book discuss topics in mathematics and biomathematics; medical approaches; and technological and educational approaches. Given the rapid development of artificial intelligence systems, the book highlights the need for more intensive training for a growing number of specialists, particularly in medical engineering, to increase the effectiveness of medical diagnosis and treatment. The book is intended for specialists, students and other readers who would like to know where artificial intelligence systems can beneficially be applied in the future.
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Advances in Artificial Systems for Medicine and Education III
Zhengbing Hu, Sergey Petoukhov, and Matthew He
This book discusses the latest advances in the development of artificial intelligence systems and their applications in various fields, from medicine and technology to education. It comprises papers presented at the Third International Conference of Artificial Intelligence, Medical Engineering, Education (AIMEE2019), held at the Mechanical Engineering Institute of the Russian Academy of Sciences, Moscow, Russia, on 1–3 October 2019. Covering topics such as mathematics and biomathematics; medical approaches; and technological and educational approaches, it is intended for the growing number of specialists and students in this field, as well as other readers interested in discovering where artificial intelligence systems can be applied in the future.
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Advances in Intelligent Systems, Computer Science and Digital Economics
Zhengbing Hu, Sergey Petoukhov, and Matthew He
This book comprises high-quality, refereed research papers presented at the 2019 International Symposium on Computer Science, Digital Economy and Intelligent Systems (CSDEIS2019): The symposium, held in Moscow, Russia, on 4–6 October 2019, was organized jointly by Moscow State Technical University and the International Research Association of Modern Education and Computer Science. The book discusses the state of the art in areas such as computer science and its technological applications; intelligent systems and intellectual approaches; and digital economics and methodological approaches. It is an excellent reference resource for researchers, undergraduate and graduate students, engineers, and management practitioners interested in computer science and its applications in engineering and management.
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High-Throughput Flow Cytometry Screening of Multidrug Efflux Systems
Mark Haynes, Matthew Garcia, Ryan Peters, Anna Waller, Pietro Tedesco, Oleg Ursu, Cristian G. Bologa, Radleigh Santos, Clemencia Pinilla, Terry H. Wu, Julie A. Lovchik, Tudor I. Oprea, Larry A. Sklar, and George P. Tegos
The resistance nodulation cell division (RND) family of proteins are inner membrane transporters that associate with periplasmic adaptor proteins and outer membrane porins to affect substrate transport from the cytosol and periplasm in Gram-negative bacteria. Various structurally diverse compounds are substrates of RND transporters. Along with their notable role in antibiotic resistance, these transporters are essential for niche colonization, quorum sensing, and virulence as well as for the removal of fatty acids and bile salts. As such, RNDs are an attractive target for antimicrobial development. However, while enhancing the utility of antibiotics with an RND inhibitor is an appealing concept, only a small core of chemotypes has been identified as efflux pump inhibitors (EPIs). Thus, our key objective is the development and validation of an efflux profiling and discovery strategy for RND model systems. Here we describe a flow cytometric dye accumulation assay that uses fluorescein diacetate (FDA) to interrogate the model Gram-negative pathogens Escherichia coli, Franscisella tularensis, and Burkholderia pseudomallei. Fluorochrome retention is increased in the presence of known efflux inhibitors and in RND deletion strains. The assay can be used in a high-throughput format to evaluate efflux of dye-substrate candidates and to screen chemical libraries for novel EPIs. Triaged compounds that inhibit efflux in pathogenic strains are tested for growth inhibition and antibiotic potentiation using microdilution culture plates in a select agent Biosafety Level-3 (BSL3) environment. This combined approach demonstrates the utility of flow cytometric analysis for efflux activity and provides a useful platform in which to characterize efflux in pathogenic Gram-negative bacteria. Screening small molecule libraries for novel EPI candidates offers the potential for the discovery of new classes of antibacterial compounds.
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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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Advances in Computer Science for Engineering and Education
Zhengbing Hu, Sergey Petoukhov, Ivan Dychka, and Matthew He
This book features high-quality, peer-reviewed research papers presented at the First International Conference on Computer Science, Engineering and Education Applications (ICCSEEA2018), held in Kiev, Ukraine on 18–20 January 2018, and organized jointly by the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” and the International Research Association of Modern Education and Computer Science. The state-of-the-art papers discuss topics in computer science, such as neural networks, pattern recognition, engineering techniques, genetic coding systems, deep learning with its medical applications, as well as knowledge representation and its applications in education. It is an excellent reference resource for researchers, graduate students, engineers, management practitioners, and undergraduate students interested in computer science and their applications in engineering and education.
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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.
