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A MatLab Companion to Complex Variables (Textbooks in Mathematics #41)
by A. David WunschThis book is intended for someone learning functions of a complex variable and who enjoys using MATLAB. It will enhance the exprience of learning complex variable theory and will strengthen the knowledge of someone already trained in ths branch of advanced calculus. ABET, the accrediting board for engineering programs, makes it clear that engineering graduates must be skilled in the art of programming in a language such as MATLAB®. Supplying students with a bridge between the functions of complex variable theory and MATLAB, this supplemental text enables instructors to easily add a MATLAB component to their complex variables courses.A MATLAB® Companion to Complex Variables provides readers with a clear understanding of the utility of MATLAB in complex variable calculus. An ideal adjunct to standard texts on the functions of complex variables, the book allows professors to quickly find and assign MATLAB programming problems that will strengthen students’ knowledge of the language and concepts of complex variable theory.The book shows students how MATLAB can be a powerful learning aid in such staples of complex variable theory as conformal mapping, infinite series, contour integration, and Laplace and Fourier transforms. In addition to MATLAB programming problems, the text includes many examples in each chapter along with MATLAB code.Fractals, the most recent interesting topic involving complex variables, demands to be treated with a language such as MATLAB. This book concludes with a Coda, which is devoted entirely to this visually intriguing subject.MATLAB is not without constraints, limitations, irritations, and quirks, and there are subtleties involved in performing the calculus of complex variable theory with this language. Without knowledge of these subtleties, engineers or scientists attempting to use MATLAB for solutions of practical problems in complex variable theory suffer the risk of making major mistakes. This book serves as an early warning system about these pitfalls.
Matrix-Based Introduction to Multivariate Data Analysis
by Kohei AdachiThis book enables readers who may not be familiar with matrices to understand a variety of multivariate analysis procedures in matrix forms. Another feature of the book is that it emphasizes what model underlies a procedure and what objective function is optimized for fitting the model to data. The author believes that the matrix-based learning of such models and objective functions is the fastest way to comprehend multivariate data analysis. The text is arranged so that readers can intuitively capture the purposes for which multivariate analysis procedures are utilized: plain explanations of the purposes with numerical examples precede mathematical descriptions in almost every chapter. This volume is appropriate for undergraduate students who already have studied introductory statistics. Graduate students and researchers who are not familiar with matrix-intensive formulations of multivariate data analysis will also find the book useful, as it is based on modern matrix formulations with a special emphasis on singular value decomposition among theorems in matrix algebra. The book begins with an explanation of fundamental matrix operations and the matrix expressions of elementary statistics, followed by the introduction of popular multivariate procedures with advancing levels of matrix algebra chapter by chapter. This organization of the book allows readers without knowledge of matrices to deepen their understanding of multivariate data analysis.
Maximum Principles and Geometric Applications
by Luis J. Alías Paolo Mastrolia Marco RigoliThis monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research.
Mcat Physics And Math Review, 3rd Edition
by The Princeton The Princeton ReviewMCAT Physics and Math Review, 3rd Edition (Graduate School Test Preparation)
Measure and Integration
by Hari Bercovici Arlen Brown Carl PearcyThis book covers the material of a oneyear course in real analysis. It includes an original axiomatic approachto Lebesgue integration which the authors have found to be effective in theclassroom. Each chapter contains numerous examples and an extensiveproblem set which expands considerably the breadth of the material covered inthe text. Hints are included for some of the more difficult problems.
Measuring Specific Mental Illness Diagnoses with Functional Impairment: Workshop Summary
by National Academies of Sciences Engineering MedicineThe workshop summarized in this report was organized as part of a study sponsored by the Substance Abuse and Mental Health Services Administration (SAMHSA) and the Office of the Assistant Secretary for Planning and Evaluation of the U.S. Department of Health and Human Services, with the goal of assisting SAMHSA in its responsibilities of expanding the collection of behavioral health data in several areas. The workshop brought together experts in mental health, psychiatric epidemiology and survey methods to facilitate discussion of the most suitable measures and mechanisms for producing estimates of specific mental illness diagnoses with functional impairment. The report discusses existing measures and data on mental disorders and functional impairment, challenges associated with collecting these data in large-scale population-based studies, as well as study design and estimation options.
Metaheuristics and Optimization in Civil Engineering
by Sinan Melih Nigdeli Gebrail Bekdaş Xin-She YangThis timely book deals with a current topic, i. e. the applications of metaheuristic algorithms, with a primary focus on optimization problems in civil engineering. The first chapter offers a concise overview of different kinds of metaheuristic algorithms, explaining their advantages in solving complex engineering problems that cannot be effectively tackled by traditional methods, and citing the most important works for further reading. The remaining chapters report on advanced studies on the applications of certain metaheuristic algorithms to specific engineering problems. Genetic algorithm, bat algorithm, cuckoo search, harmony search and simulated annealing are just some of the methods presented and discussed step by step in real-application contexts, in which they are often used in combination with each other. Thanks to its synthetic yet meticulous and practice-oriented approach, the book is a perfect guide for graduate students, researchers and professionals willing to applying metaheuristic algorithms in civil engineering and other related engineering fields, such as mechanical, transport and geotechnical engineering. It is also a valuable aid for both lectures and advanced engineering students.
Method of Lines PDE Analysis in Biomedical Science and Engineering
by William E. SchiesserPresents the methodology and applications of ODE and PDE models within biomedical science and engineering With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration, Method of Lines PDE Analysis in Biomedical Science and Engineering demonstrates the use of numerical methods for the computer solution of PDEs as applied to biomedical science and engineering (BMSE). Written by a well-known researcher in the field, the book provides an introduction to basic numerical methods for initial/boundary value PDEs before moving on to specific BMSE applications of PDEs. Featuring a straightforward approach, the book's chapters follow a consistent and comprehensive format. First, each chapter begins by presenting the model as an ordinary differential equation (ODE)/PDE system, including the initial and boundary conditions. Next, the programming of the model equations is introduced through a series of R routines that primarily implement MOL for PDEs. Subsequently, the resulting numerical and graphical solution is discussed and interpreted with respect to the model equations. Finally, each chapter concludes with a review of the numerical algorithm performance, general observations and results, and possible extensions of the model. Method of Lines PDE Analysis in Biomedical Science and Engineering also includes: Examples of MOL analysis of PDEs, including BMSE applications in wave front resolution in chromatography, VEGF angiogenesis, thermographic tumor location, blood-tissue transport, two fluid and membrane mass transfer, artificial liver support system, cross diffusion epidemiology, oncolytic virotherapy, tumor cell density in glioblastomas, and variable grids Discussions on the use of R software, which facilitates immediate solutions to differential equation problems without having to first learn the basic concepts of numerical analysis for PDEs and the programming of PDE algorithms A companion website that provides source code for the R routines Method of Lines PDE Analysis in Biomedical Science and Engineering is an introductory reference for researchers, scientists, clinicians, medical researchers, mathematicians, statisticians, chemical engineers, epidemiologists, and pharmacokineticists as well as anyone interested in clinical applications and the interpretation of experimental data with differential equation models. The book is also an ideal textbook for graduate-level courses in applied mathematics, BMSE, biology, biophysics, biochemistry, medicine, and engineering.
Methods of Applied Mathematics with a Software Overview
by Jon H. DavisBroadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.
Methods of Fourier Analysis and Approximation Theory
by Michael Ruzhansky Sergey TikhonovDifferent facets of interplay between harmonic analysis andapproximation theory are covered in this volume. The topics included areFourier analysis, function spaces, optimization theory, partial differentialequations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first eventtook place during the 9th ISAAC Congress in Krakow, Poland, 5th-9th August2013, at the section "ApproximationTheory and Fourier Analysis". The secondevent was the conference on Fourier Analysis and Approximation Theory in theCentre de Recerca Matemàtica (CRM), Barcelona, during 4th-8th November 2013,organized by the editors of this volume. All articles selected to be part ofthis collection were carefully reviewed.
Methods of Solving Sequence and Series Problems
by Ellina GrigorievaThis book aims to dispel the mystery and fear experienced by students surrounding sequences, series, convergence, and their applications. The author, an accomplished female mathematician, achieves this by taking a problem solving approach, starting with fascinating problems and solving them step by step with clear explanations and illuminating diagrams. The reader will find the problems interesting, unusual, and fun, yet solved with the rigor expected in a competition. Some problems are taken directly from mathematics competitions, with the name and year of the exam provided for reference. Proof techniques are emphasized, with a variety of methods presented. The text aims to expand the mind of the reader by often presenting multiple ways to attack the same problem, as well as drawing connections with different fields of mathematics. Intuitive and visual arguments are presented alongside technical proofs to provide a well-rounded methodology. With nearly 300 problems including hints, answers, and solutions, Methods of Solving Sequences and Series Problems is an ideal resource for those learning calculus, preparing for mathematics competitions, or just looking for a worthwhile challenge. It can also be used by faculty who are looking for interesting and insightful problems that are not commonly found in other textbooks.
Microeconometrics in Business Management
by Jerzy Witold WisniewskiThis book introduces the application of microeconometric methods for modelling various aspects of economic activity for small to large size enterprises, using methods that are based on both time-series and cross-section approaches. The information obtained from using these estimated models can then be used to inform business decisions that improve the efficiency of operations and planning. Basic models used in the modelling of the business (single-equation and multiple-equation systems) are introduced whilst a wide range of economic activity including major aspects of financial management, demand for labour, administrative staff and labour productivity are also explored. Microeconometrics in Business Management: Introduces econometric methods which can be used in the modelling of economic activity and forecasting, to help improve the efficiency of business operations and planning. Describes econometric entities through multiple-equation and single-equation microeconometric models. Explores the process of building and adapting basic microeconometric tools. Presents numerous micromodels based on time-series data and statistical cross-sectional sequences, which can be used in any enterprise. Features numerous real -world applications along with examples drawn from the authors own experience. Is supported by a companion website featuring practice problems and statistical data to aid students to construct and estimate micro models. Features end of chapter exercises with examples present in free software GRETL. This book serves as a valuable resource for students, business management practitioners and researchers in econometric micro-model construction and various decision-making processes.
The Millennial Generation: Implications for the Intelligence and Policy Communities
by Cortney Weinbaum Jenny Oberholtzer Richard S. GirvenIn 2015, for the first time, millennials outnumbered baby boomers as the largest generational segment of the U.S. population. This report describes how the intelligence community must engage millennials across multiple segments to succeed in the future: millennials as intelligence clients, employees, and partners and as members of the public.
Milling Simulation: Metal Milling Mechanics, Dynamics and Clamping Principles
by Weihong Zhang Min WanReliable scheduling in cutting conditions is very important in machining processes, and this requires thorough understanding of the physical behaviors of the machining process, which cannot be achieved without understanding the underlying mechanism of the processes. The book describes the mechanics and dynamics together with the clamping principles in milling processes, and can be used as a guideline for graduate students and research engineers who wish to be effective manufacture engineers and researchers. Many books have focused on common principles, which are suitable for general machining processes, e.g., milling, turning and drilling, etc. This book specifically aims at exploring the mechanics and dynamics of milling processes. Original theoretical derivations and new observations on static cutting force models, dynamic stability models and clamping principles associated with milling processes are classified and detailed. The book is indented as a text for graduate students and machining engineers who wish to intensively learn milling mechanism and machine tool vibration.
Mind-Blowing Modular Origami: The Art of Polyhedral Paper Folding
by Byriah LoperModular origami is the latest craze in paper folding!These three-dimensional models are created from a number of small pieces of paper that are easily folded and then cleverly fit together to form a spectacular shape. They range from paper polyhedra to bristling buckyballs that are reminiscent of sea urchins-to ornate flower-like spheres.Each piece of paper is held by the tension of the other papers-demonstrating the remarkable hidden properties of paper, which is at the same time flexible but also strong!Author Byriah Loper has been creating modular origami sculptures for just five years, but in that time, he's pushed the upper limits of the art form with some of the largest, most complex geometric paper constructions ever assembled. While many geo-modular origami artists focus on creating dense floral spheres, Byriah has pioneered the open, linear "wire frame" approach, which results in a very complex-looking model that reveals the interior of its form. He exhibits his sculptures annually at the OrigamiUSA convention in New York, and was recently a featured artist at the "Surface to Structure" exhibition at the Cooper Union gallery in the East Village.
Mindfulness Among Students
by Atefeh AhmadiThis book utilizes quantitative research methods to identify the relationship between the level of mindfulness and demographic factors among university students in Malaysia. More specifically, it explores the mindfulness, its benefits and relationship with demography, and the field of study of university students. While Mindfulness Attention Awareness Scale questionnaire (Brown & Rayan, 2003) was used for the quantitative approach, findings in the book were also ascertained through descriptive and co-relational statistics test. The research presented in the book moves beyond the individual level of mindfulness towards "organizational mindfulness", and will be useful for psychotherapists, high school counselors and teachers.
Minimal Free Resolutions over Complete Intersections
by David Eisenbud Irena PeevaThis book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics.
Miracle Year 1969: Amazing Mets and Super Jets
by Bill GutmanSports fans in New York will always remember the incredible events of 1969. It was the year that two of the city’s underdog teams would rise above all expectations to be crowned world champions.On January 12, 1969, the underdog New York Jets faced the heavily-favored Baltimore Colts in Super Bowl III. Up to this point, no former AFL team had ever won a Super Bowl. Leading the Colts were future Hall of Fame coach Don Shula and quarterback Johnny Unitas (also a future Hall of Famer).The team looked unbeatable finishing the season with a 13-1 record.But then, in historic fashion, "Broadway Joe” Namath, the quarterback of the Jets, made an incredible "guarantee” that the Jets would be victorious. And behind Namath’s strong arm they were, as he led his team to a 16-7 victory.For a city that had not housed a championship team since the Dodgers in ’65, one championship was more than enough. But who would have expected that just seven months later, another New York team would rise to stardom?The New York Mets completed their first season in 1962 and would go down in history with the worst record ever recorded at 40-120 (a record still unbroken). They averaged over 100 losses in their first seven seasons and were seemingly permanent cellar dwellers of the National League. That was until the ’69 season, when the Mets-led by Tom Seaver (a future Hall of Famer) and Jerry Koosman-would complete an improbable run by not only leading their team to a winning record (which they’d never done before), but by defeating the Baltimore Orioles 4 games to 1 for their first World Series championship.Miracle Year 1969 tells the story of how two teams defied almost insurmountable odds to win it all for a city that has always loved champions, underdogs, and its heroes.Skyhorse Publishing, as well as our Sports Publishing imprint, are proud to publish a broad range of books for readers interested in sports-books about baseball, pro football, college football, pro and college basketball, hockey, or soccer, we have a book about your sport or your team.Whether you are a New York Yankees fan or hail from Red Sox nation; whether you are a die-hard Green Bay Packers or Dallas Cowboys fan; whether you root for the Kentucky Wildcats, Louisville Cardinals, UCLA Bruins, or Kansas Jayhawks; whether you route for the Boston Bruins, Toronto Maple Leafs, Montreal Canadiens, or Los Angeles Kings; we have a book for you. While not every title we publish becomes a New York Times bestseller or a national bestseller, we are committed to publishing books on subjects that are sometimes overlooked by other publishers and to authors whose work might not otherwise find a home.
Mixed-Integer Representations in Control Design
by Silviu-Iulian Niculescu Sorin Olaru Florin Stoican Ionela ProdanIn this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. The text deals with a large class of systems that require the solution of appropriate optimization problems over a feasible region, which is neither convex nor compact. The proposed approach uses the combinatorial notion of hyperplane arrangement, partitioning the space by a finite collection of hyperplanes, to describe non-convex regions efficiently. Mixed-integer programming techniques are then applied to propose acceptable formulations of the overall problem. Multiple constructions may arise from the same initial problem, and their complexity under various parameters - space dimension, number of binary variables, etc. - is also discussed. This book is a useful tool for academic researchers and graduate students interested in non-convex systems working in control engineering area, mobile robotics and/or optimal planning and decision-making.
Mobile Cloud Computing: Architectures, Algorithms and Applications
by Debashis DeMinimize Power Consumption and Enhance User ExperienceEssential for high-speed fifth-generation mobile networks, mobile cloud computing (MCC) integrates the power of cloud data centers with the portability of mobile computing devices. Mobile Cloud Computing: Architectures, Algorithms and Applications covers the latest technological and architectura
Mobile Networks for Biometric Data Analysis
by Massimo Conti Natividad Martínez Madrid Ralf Seepold Simone OrcioniThis book showcases new and innovative approaches to biometric data capture and analysis, focusing especially on those that are characterized by non-intrusiveness, reliable prediction algorithms, and high user acceptance. It comprises the peer-reviewed papers from the international workshop on the subject that was held in Ancona, Italy, in October 2014 and featured sessions on ICT for health care, biometric data in automotive and home applications, embedded systems for biometric data analysis, biometric data analysis: EMG and ECG, and ICT for gait analysis. The background to the book is the challenge posed by the prevention and treatment of common, widespread chronic diseases in modern, aging societies. Capture of biometric data is a cornerstone for any analysis and treatment strategy. The latest advances in sensor technology allow accurate data measurement in a non-intrusive way, and in many cases it is necessary to provide online monitoring and real-time data capturing to support a patient's prevention plans or to allow medical professionals to access the patient's current status. This book will be of value to all with an interest in this expanding field.
Mod-ϕ Convergence
by Valentin Féray Pierre-Loïc Méliot Ashkan NikeghbaliThe canonical way to establish the central limit theorem for i. i. d. random variables is to use characteristic functions and L#65533;vy's continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples.
Modality and Propositional Attitudes
by Michael HegartyThis book shows that the semantic analysis of modal notions of possibility and necessity can be used to enhance our understanding of the interpretation of reports of belief or emotional state. It introduces intuitive notation and terminology to express ideas in modern theories of modal interpretation that are normally represented in complex logical formulas, effectively updates the 1960s-era link between possible worlds and the semantics of propositional attitude ascriptions, and reconciles two disparate views of the role of events in semantic interpretation, that of Donald Davidson and that of David Lewis. It reduces a host of variable behaviors of propositional attitude ascription to an intuitive and precise distinction between ascriptions that merely express a commitment to propositional content versus ones that attribute a mental state to the holder of the propositional attitude. This leads to an explanation of the nature and effects of the language disorder of fluent aphasia.
Model Choice in Nonnested Families
by Basilio De Pereira Carlos Alberto PereiraThis book discusses the problem of model choice when the statistical models are separate, also called nonnested. Chapter 1 provides an introduction, motivating examples and a general overview of the problem. Chapter 2 presents the classical or frequentist approach to the problem as well as several alternative procedures and their properties. Chapter 3 explores the Bayesian approach, the limitations of the classical Bayes factors and the proposed alternative Bayes factors to overcome these limitations. It also discusses a significance Bayesian procedure. Lastly, Chapter 4 examines the pure likelihood approach. Various real-data examples and computer simulations are provided throughout the text.
Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws
by Krzysztof BarteckiThismonograph focuses on the mathematical modeling of distributed parameter systemsin which mass/energy transport or wave propagation phenomena occur and whichare described by partial differential equations of hyperbolic type. The case oflinear (or linearized) 2 x 2 hyperbolic systems of balance laws isconsidered, i. e. , systems described by two coupled linear partial differentialequations with two variables representing physical quantities, depending onboth time and one-dimensional spatial variable. Basedon practical examples of a double-pipe heat exchanger and a transportationpipeline, two typical configurations of boundary input signals are analyzed: collocated, wherein both signals affect the system at the samespatial point, and anti-collocated, inwhich the input signals are applied to the two different end points of thesystem. Theresults of this book emerge from the practical experience of the author gainedduring his studies conducted in the experimental installation of a heatexchange center as well as from his research experience in the field of mathematicaland computer modeling of dynamic systems. The book presents valuable resultsconcerning their state-space, transfer function and time-domain representations,which can be useful both for the open-loop analysis as well as for theclosed-loop design. Thebook is primarily intended to help professionals as well as undergraduate andpostgraduate students involved in modeling and automatic control of dynamicsystems.