- Table View
- List View
Two-dimensional Two-product Cubic Systems, Vol I: Different Product Structure Vector Fields
by Albert C. LuoThis book is the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The switching bifurcations for saddle-source (sink) with hyperbolic-to-hyperbolic-secant flows and parabola-saddles with inflection-source (sink) flows are based on the parabola-source (sink), parabola-saddles, inflection-saddles infinite-equilibriums. The switching bifurcations for the network of the simple equilibriums with hyperbolic flows are parabola-saddles and inflection-source (sink) on the inflection-source and sink infinite-equilibriums. Readers will learn new concepts, theory, phenomena, and analysis techniques. · Two-different product-cubic systems · Hybrid networks of higher-order equilibriums and flows · Hybrid series of simple equilibriums and hyperbolic flows · Higher-singular equilibrium appearing bifurcations · Higher-order singular flow appearing bifurcations · Parabola-source (sink) infinite-equilibriums · Parabola-saddle infinite-equilibriums · Inflection-saddle infinite-equilibriums · Inflection-source (sink) infinite-equilibriums · Infinite-equilibrium switching bifurcations.
Two-dimensional Product-cubic Systems, Vol.II: Product-quadratic Vector Fields
by Albert C. LuoThis book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cubic systems. The author explains how, in the networks, equilibriums have source, sink and saddles with counter-clockwise and clockwise centers and positive and negative saddles, and the 1-dimensional flows includes source and sink flows, parabola flows with hyperbolic and hyperbolic-secant flows. He further describes how the singular equilibriums are saddle-source (sink) and parabola-saddles for the appearing bifurcations, and the 1-dimensional singular flows are the hyperbolic-to-hyperbolic-secant flows and inflection source (sink) flows for 1-dimensional flow appearing bifurcations, and the switching bifurcations are based on the infinite-equilibriums, including inflection-source (sink), parabola-source (sink), up-down and down-up upper-saddle (lower-saddle), up-down (down-up) sink-to-source and source-to-sink, hyperbolic and hyperbolic-secant saddles. The diagonal-inflection upper-saddle and lower-saddle infinite-equilibriums are for the double switching bifurcations. The networks of hyperbolic flows with connected saddle, source and center are presented, and the networks of the hyperbolic flows with paralleled saddle and center are also illustrated. Readers will learn new concepts, theory, phenomena, and analysis techniques. Product-quadratic and product cubic systems Self-linear and crossing-quadratic product vector fields Self-quadratic and crossing-linear product vector fields Hybrid networks of equilibriums and 1-dimensional flows Up-down and down-up saddle infinite-equilibriums Up-down and down-up sink-to-source infinite-equilibriums Inflection-source (sink) Infinite-equilibriums Diagonal inflection saddle infinite-equilibriums Infinite-equilibrium switching bifurcations
Two Eyes, Two Ears (Into Reading, Level D #78)
by Annette Smith Lindsay EdwardsNIMAC-sourced textbook
Two-Person Game Theory
by Anatol Rapoport"Game theory is an intellectual X-ray. It reveals the skeletal structure of those systems where decisions interact, and it reveals, therefore, the essential structure of both conflict and cooperation." -- Kenneth BouldingThis fascinating and provocative book presents the fundamentals of two-person game theory, a mathematical approach to understanding human behavior and decision-making, Developed from analysis of games of strategy such as chess, checkers, and Go, game theory has dramatic applications to the entire realm of human events, from politics, economics, and war, to environmental issues, business, social relationships, and even "the game of love." Typically, game theory deals with decisions in conflict situations.Written by a noted expert in the field, this clear, non-technical volume introduces the theory of games in a way which brings the essentials into focus and keeps them there. In addition to lucid discussions of such standard topics as utilities, strategy, the game tree, and the game matrix, dominating strategy and minimax, negotiated and nonnegotiable games, and solving the two-person zero-sum game, the author includes a discussion of gaming theory, an important link between abstract game theory and an experimentally oriented behavioral science. Specific applications to social science have not been stressed, but the methodological relations between game theory, decision theory, and social science are emphasized throughout.Although game theory employs a mathematical approach to conflict resolution, the present volume avoids all but the minimum of mathematical notation. Moreover, the reader will find only the mathematics of high school algebra and of very elementary analytic geometry, except for an occasional derivative. The result is an accessible, easy-to-follow treatment that will be welcomed by mathematicians and non-mathematicians alike.
Two-Person Zero-Sum Games
by Alan WashburnTwo-person zero-sum game theory deals with situations that are perfectly competitive--there are exactly two decision makers for whom there is no possibility of cooperation or compromise. It is the most fundamental part of game theory, and the part most commonly applied. There are diverse applications to military battles, sports, parlor games, economics and politics. The theory was born in World War II, and has by now matured into a significant and tractable body of knowledge about competitive decision making. The advent of modern, powerful computers has enabled the solution of many games that were once beyond computational reach. Two-Person Zero-Sum Games, 4th Ed. offers an up-to-date introduction to the subject, especially its computational aspects. Any finite game can be solved by the brute force method of enumerating all possible strategies and then applying linear programming. The trouble is that many interesting games have far too many strategies to enumerate, even with the aid of computers. After introducing ideas, terminology, and the brute force method in the initial chapters, the rest of the book is devoted to classes of games that can be solved without enumerating every strategy. Numerous examples are given, as well as an extensive set of exercises. Many of the exercises are keyed to sheets of an included Excel workbook that can be freely downloaded from the SpringerExtras website. This new edition can be used as either a reference book or as a textbook.
Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations (Lecture Notes in Mathematics #2190)
by Emmanuel FrénodThis book presents the classical results of the two-scale convergence theory and explains – using several figures – why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as well as oscillatory singularly perturbed ordinary differential equations. In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations. Further, it introduces readers to the two-scale numerical methods that can be built from the previous approaches to solve oscillatory singularly perturbed transport equations (ODE and hyperbolic PDE) and demonstrates how they can be used efficiently. This book appeals to master’s and PhD students interested in homogenization and numerics, as well as to the Iter community.
Two-sided matching
by Alvin E. Roth Marilda A. Oliveira SotomayorTwo-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This book gives a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching. The focus of the book is on the stability of outcomes, on the incentives that different rules of organization give to agents, and on the constraints that these incentives impose on the ways such markets can be organized. The results for this wide range of related models and matching situations help clarify which conclusions depend on particular modeling assumptions and market conditions, and which are robust over a wide range of conditions.
Two Trains Leave Paris: Number Problems for Word People
by Taylor Frey Mike WesolowskiEntertaining word problems that let verbal types master the language of math!Math is a universal language, but it’s also the least understood and most undervalued subject taught in school. Two Trains Leave Paris: Number Problems for Word People offers an opportunity to experience math like never before. You must use the Pythagorean Theorem to figure out how far apart two ex-lovers are when they simultaneously realize that they cannot live without each other. You must use addition (and logic) to explore the ridiculous (and patriarchal!) wage gap. Throughout six math-themed chapters, readers will follow a series of characters as they apply for jobs, fall in love, get abducted by aliens, and experience many of life’s other big and small moments, all of which are dictated by—you guessed it—math! With the help of humor, mathematical history, and how-to-solve sections, Two Trains Leave Paris asks readers to help its characters find growth in the most unexpected of places: word problems. And the answers are, of course, in the back.
Two-Way Analysis of Variance
by Thomas W. MacfarlandIn statistics, analysis of variance (ANOVA) is a collection of statistical models used to distinguish between an observed variance in a particular variable and its component parts. In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are all equal, and therefore generalizes a test between these groups. One test often used by statisticians and researchers in their work is the Two-Way ANOVA, which determines the differences--and possible interactions--when variables are presented from the perspective of two or more categories. When a Two-Way ANOVA is implemented, it enables one to compare and contrast variables resulting from independent or joint actions. This brief provides guidance on how R can be used to facilitate Two-Way ANOVA for data analysis and graphical presentation. Along with instruction on the use of R and R syntax associated with Two-Way ANOVA, this brief will also reinforce the use of descriptive statistics and graphical figures to complement outcomes from parametric Two-Way ANOVA.
Tychomancy
by Michael StrevensTychomancy-meaning the divination of chances-presents a set of rules for inferring the physical probabilities of outcomes from the causal or dynamic properties of the systems that produce them. Probabilities revealed by the rules are wide-ranging: they include the probability of getting a 5 on a die roll, the probability distributions found in statistical physics, and the probabilities that underlie many prima facie judgments about fitness in evolutionary biology. Michael Strevens makes three claims about the rules. First, they are reliable. Second, they are known, though not fully consciously, to all human beings: they constitute a key part of the physical intuition that allows us to navigate around the world safely in the absence of formal scientific knowledge. Third, they have played a crucial but unrecognized role in several major scientific innovations. A large part of Tychomancy is devoted to this historical role for probability inference rules. Strevens first analyzes James Clerk Maxwell’s extraordinary, apparently a priori, deduction of the molecular velocity distribution in gases, which launched statistical physics. Maxwell did not derive his distribution from logic alone, Strevens proposes, but rather from probabilistic knowledge common to all human beings, even infants as young as six months old. Strevens then turns to Darwin’s theory of natural selection, the statistics of measurement, and the creation of models of complex systems, contending in each case that these elements of science could not have emerged when or how they did without the ability to eyeball the values of physical probabilities.
Type-2 Fuzzy Decision-Making Theories, Methodologies and Applications (Uncertainty and Operations Research)
by Jindong Qin Xinwang LiuThis book integrates the type-2 fuzzy sets and multiple criteria decision making analysis in recent years and offers an authoritative treatise on the essential topics, both at the theoretical and applied end. In this book, some basic theory, type-2 fuzzy sets, methodology, algorithms, are introduced and then some compelling case studies in decision problems are covered in depth. The authors offer an authoritative treatise on the essential topics, both at the theoretical and applied end; In a systematic and logically organized way, the book exposes the reader to the essentials of the theory of type-2 fuzzy sets, methodology, algorithms, and their applications. Numerous techniques of decision making are carefully generalized by bringing the ideas of type-2 fuzzy sets; this concerns well-known methods including TOPSIS, Analytical Network Process, TODIM, and VIKOR. This book exposes the readers to the essentials of the theory of type-2 fuzzy sets, methodology, algorithms, and their applications.
Type-2 Fuzzy Granular Models
by Mauricio A. Sanchez Oscar Castillo Juan R. CastroIn this book, a series of granular algorithms are proposed. A nature inspired granular algorithm based on Newtonian gravitational forces is proposed. A series of methods for the formation of higher-type information granules represented by Interval Type-2 Fuzzy Sets are also shown, via multiple approaches, such as Coefficient of Variation, principle of justifiable granularity, uncertainty-based information concept, and numerical evidence based. And a fuzzy granular application comparison is given as to demonstrate the differences in how uncertainty affects the performance of fuzzy information granules.
Type-2 Fuzzy Logic and Systems: Dedicated to Professor Jerry Mendel for his Pioneering Contribution (Studies in Fuzziness and Soft Computing #362)
by Oscar Castillo Hani Hagras Robert JohnThis book explores recent perspectives on type-2 fuzzy sets. Written as a tribute to Professor Jerry Mendel for his pioneering works on type-2 fuzzy sets and systems, it covers a wide range of topics, including applications to the Go game, machine learning and pattern recognition, as well as type-2 fuzzy control and intelligent systems. The book is intended as a reference guide for the type-2 fuzzy logic community, yet it aims also at other communities dealing with similar methods and applications.
Type-3 Fuzzy Logic in Time Series Prediction (SpringerBriefs in Applied Sciences and Technology)
by Oscar Castillo Patricia MelinThis book focuses on the field of type-3 fuzzy logic for applications in time series prediction. The main idea is that a higher type and order of fuzzy logic can help in solving various prediction problems and find better results. In addition, neural networks and fractal theory are employed in enhancing prediction results. In this regard, several hybrid intelligent methods are offered. In this book we test the proposed methods using several prediction problems, like predicting COVID-19 and the stock market. We can notice that when Type-3 fuzzy systems are implemented to model the behavior of systems, the results in prediction are enhanced, because the management of uncertainty is better. For this reason, we consider in this book the proposed methods using type-3 fuzzy systems, neural networks and fractal theory to improve the prediction behavior of the complex nonlinear systems. This book is intended to be a reference for scientists and engineers interested in applying type-3 fuzzy logic techniques for solving complex prediction problems. This book can also be used as a reference for graduate courses like the following: soft computing, fuzzy logic, neural networks, bio-inspired algorithms, intelligent prediction, and similar ones. We consider that this book can also be used to get novel ideas for new lines of research, or to continue the lines of research proposed by the authors of the book.
Type-Based Flood Statistics: An Interlink Between Stochastic and Deterministic Flood Hydrology (Water Science and Technology Library #124)
by Svenja Fischer Andreas H. SchumannThis book summarises for the first time all relevant methodologies for type-based flood statistics, introduces the basis of flood typology and makes them accessible to the user. Flood types improve the understanding of the flood-generating processes and characterise the flood event in terms of its features such as peak, volume and hydrograph shape. In addition, they can also significantly expand the information used in flood statistics and add valuable flood characteristics to the determination of design floods, especially the determination of flood scenarios relevant for reservoir management. A detailed framework with all aspects of point and spatial statistics as well as regionalisation is presented, and examples illustrate the benefit of the proposed methodology. The target audience is both users in associations and engineering offices, as type-based statistics are increasingly becoming part of the specifications, and researchers, as this is a current field of research.
Type Systems for Distributed Programs: Components and Sessions
by Ornela DardhaIn this book we develop powerful techniques based on formal methods for the verification of correctness, consistency and safety properties related to dynamic reconfiguration and communication in complex distributed systems. In particular, static analysis techniques based on types and type systems are an adequate methodology considering their success in guaranteeing not only basic safety properties, but also more sophisticated ones like deadlock or lock freedom in concurrent settings. The main contributions of this book are twofold. i) We design a type system for a concurrent object-oriented calculus to statically ensure consistency of dynamic reconfigurations. ii) We define an encoding of the session pi-calculus, which models communication in distributed systems, into the standard typed pi-calculus. We use this encoding to derive properties like type safety and progress in the session pi-calculus by exploiting the corresponding properties in the standard typed pi-calculus.
Type Theory and Formal Proof
by Rob Nederpelt Herman GeuversType theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarise themselves with the material.
Typicality Reasoning in Probability, Physics, and Metaphysics (New Directions in the Philosophy of Science)
by Dustin LazaroviciThis book provides a comprehensive investigation into the concept of typicality and its significance for physics and the philosophy of science. It identifies typicality as a fundamental way of reasoning, central to how natural laws explain and are tested against phenomena. The book discusses various applications of typicality to foundational questions in physics and beyond.These include:a unified interpretation of objective probabilities in classical mechanics and quantum mechanicsa detailed discussion of Boltzmann's statistical mechanics, entropy, and the second law of thermodynamicsa novel account of the asymmetry of causation and the arrow of time Finally, the book turns to the question: "What are laws of nature"? It argues that typicality extends to a powerful way of reasoning in metaphysics that can and should inform our commitments about the fundamental ontology of the world. On this basis, it develops an argument against the Humean best system account, according to which laws of nature are merely an efficient summary of contingent regularities.
The Tyranny of Metrics
by Jerry Z. MullerHow the obsession with quantifying human performance threatens our schools, medical care, businesses, and governmentToday, organizations of all kinds are ruled by the belief that the path to success is quantifying human performance, publicizing the results, and dividing up the rewards based on the numbers. But in our zeal to instill the evaluation process with scientific rigor, we've gone from measuring performance to fixating on measuring itself. The result is a tyranny of metrics that threatens the quality of our lives and most important institutions. In this timely and powerful book, Jerry Muller uncovers the damage our obsession with metrics is causing--and shows how we can begin to fix the problem.Filled with examples from education, medicine, business and finance, government, the police and military, and philanthropy and foreign aid, this brief and accessible book explains why the seemingly irresistible pressure to quantify performance distorts and distracts, whether by encouraging "gaming the stats" or "teaching to the test." That's because what can and does get measured is not always worth measuring, may not be what we really want to know, and may draw effort away from the things we care about. Along the way, we learn why paying for measured performance doesn't work, why surgical scorecards may increase deaths, and much more. But metrics can be good when used as a complement to—rather than a replacement for—judgment based on personal experience, and Muller also gives examples of when metrics have been beneficial.Complete with a checklist of when and how to use metrics, The Tyranny of Metricsis an essential corrective to a rarely questioned trend that increasingly affects us all.
The Tyranny of Metrics
by Jerry Z. MullerHow the obsession with quantifying human performance threatens business, medicine, education, government—and the quality of our livesToday, organizations of all kinds are ruled by the belief that the path to success is quantifying human performance, publicizing the results, and dividing up the rewards based on the numbers. But in our zeal to instill the evaluation process with scientific rigor, we've gone from measuring performance to fixating on measuring itself—and this tyranny of metrics now threatens the quality of our organizations and lives. In this brief, accessible, and powerful book, Jerry Muller uncovers the damage metrics are causing and shows how we can begin to fix the problem. Filled with examples from business, medicine, education, government, and other fields, the book explains why paying for measured performance doesn't work, why surgical scorecards may increase deaths, and much more. But Muller also shows that, when used as a complement to judgment based on personal experience, metrics can be beneficial, and he includes an invaluable checklist of when and how to use them. The result is an essential corrective to a harmful trend that increasingly affects us all.
Tyson, el pequeñito / Too-Small Tyson (Storytelling Math)
by JaNay Brown-WoodCelebrate diversity, math, and the power of storytelling with this bilingual (Spanish and English) edition!Tyson is the youngest, smaller than his four older brothers and always trying to keep up. But when the family&’s pet gerbil, Swish, goes missing, it&’s Tyson to the rescue! Tyson uses his knowledge of doubles, triples, and sizes to figure out a clever way to reach his beloved pet. A playful exploration of proportional thinking, featuring Black characters and an author letter about the ubiquitous nature of math. Tyson es el más joven y el más pequeñito de cuatro hermanos. Siempre está tratando de seguirles el ritmo. Pero cuando Swish, el gerbo de la familia, se pierde, ¡Tyson es el que va al rescate! Tyson aplica lo que sabe sobre dobles, triples y tamaño para planear de forma inteligente cómo encontrar a su mascota. Este cuento es una exploración entretenida del razonamiento proporcional, presentando personajes afroamericanos e incluyendo una carta de la autora sobre la naturaleza ubicua de las matemáticas.The Storytelling Math series shows that all children can be mathematical thinkers. Each book includes ideas for exploring math at home with your children and was developed in collaboration with math experts at STEM education nonprofit TERC, under a grant from the Heising-Simons Foundation.
U Can: Algebra I For Dummies
by Mary Jane SterlingThere's no denying that Algebra is hard. Lucky for students, U Can makes it easier. Students will find all of the no-nonsense, how-to content they need, paired with practical examples and practice problems they want, PLUS access to 1,001 more algebra practice problems online. In U Can: Algebra I For Dummies, lessons and practice are fully integrated, creating a product that combines the "how to" with the "do it" to form one perfect resource for students.
U Can: Statistics For Dummies
by David Unger Deborah J. RumseyMake studying statistics simple with this easy-to-read resource Wouldn′t it be wonderful if studying statistics were easier? With U Can: Statistics I For Dummies, it is! This one-stop resource combines lessons, practical examples, study questions, and online practice problems to provide you with the ultimate guide to help you score higher in your statistics course. Foundational statistics skills are a must for students of many disciplines, and leveraging study materials such as this one to supplement your statistics course can be a life-saver. Because U Can: Statistics I For Dummies contains both the lessons you need to learn and the practice problems you need to put the concepts into action, you′ll breeze through your scheduled study time. Statistics is all about collecting and interpreting data, and is applicable in a wide range of subject areas which translates into its popularity among students studying in diverse programs. So, if you feel a bit unsure in class, rest assured that there is an easy way to help you grasp the nuances of statistics! Understand statistical ideas, techniques, formulas, and calculations Interpret and critique graphs and charts, determine probability, and work with confidence intervals Critique and analyze data from polls and experiments Combine learning and applying your new knowledge with practical examples, practice problems, and expanded online resources U Can: Statistics I For Dummies contains everything you need to score higher in your fundamental statistics course!
U Can: Basic Math and Pre-Algebra For Dummies
by Mark ZegarelliThe fun and friendly guide to really understanding math U Can: Basic Math & Pre-Algebra For Dummies is the fun, friendly guide to making sense of math. It walks you through the "how" and "why" to help you master the crucial operations that underpin every math class you'll ever take. With no-nonsense lessons, step-by-step instructions, practical examples, and plenty of practice, you'll learn how to manipulate non-whole numbers, tackle pesky fractions, deal with weights and measures, simplify algebraic expressions, and so much more. The "learn it – do it" style helps you move at your own pace, with lesson-sized explanations, examples, and practice. You also get access to 1,001 more practice problems online, where you can create customized quizzes and study the topics where you need the most help. Math can be hard — and the basics in U Can: Basic Math & Pre-Algebra For Dummies lay the foundation for classes down the line. Consider this resource as your guide to math mastery, with step-by-step help for learning to: Put numbers in their place Make sense of fractions, decimals, and percents Get a grasp of basic geometry Simplify basic algebraic equations Believe it or not, math can be fun! And the better you understand it now, the more likely you are to do well in school, earn a degree, and get a good job. U Can: Basic Math & Pre-Algebra For Dummies gives you the skills, understanding, and confidence you need to conquer math once and for all.
U.S. Research Institutes in the Mathematical Sciences: Assessment and Perspectives
by Committee on U.S. Mathematical Sciences Research InstitutesThe Committee on U.S. Mathematical Sciences Research Institutes was charged with characterizing the role that such institutes currently play in furthering research in the mathematical sciences1 and with evaluating the advisability of changing or expanding that role.