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Misteaks. . . and how to find them before the teacher does. . .: A Calculus Supplement, 3rd Edition
by Barry CipraAn unusual supplement to every calculus textbook, Misteaks and How to Find Them before the Teacher Does is popular with students and teachers alike. Teachers love the way it encourages students to truly think about mathematics rather than simply plugging numbers into equations to crank out answers, and students love the author's straightforward, tongue-in-cheek style. The title of this light-hearted and amusing book might well have been "Going Gray in Elementary Calculus and How to Avoid it." Changing the metaphor, Barry has hit the nail on the finger in hundreds of fine examples. --Philip J. Davis, coauthor of The Mathematical Experience. "How I wish that something like this had been available when I was a student!" --Ralph P. Boas, former editor of The American Mathematical Monthly. Bonus: Solution to LeWitt Puzzle
Mistrusting Refugees
by E. Valentine Daniel John Chr. KnudsenThe twentieth century has seen people displaced on an unprecedented scale and has brought concerns about refugees into sharp focus. There are forty million refugees in the world—1 in 130 inhabitants of this planet. In this first interdisciplinary study of the issue, fifteen scholars from diverse fields focus on the worldwide disruption of "trust" as a sentiment, a concept, and an experience.Contributors provide a rich array of essays that maintain a delicate balance between providing specific details of the refugee experience and exploring corresponding theories of trust and mistrust. Their subjects range widely across the globe, and include Palestinians, Cambodians, Tamils, and Mayan Indians of Guatemala. By examining what individuals experience when removed from their own culture, these essays reflect on individual identity and culture as a whole.
Misused Statistics
by Herbert Spirer Louise Spirer"Revised and updated edition of a standard in the field. Alerts readers to the problems, inherent in statistical practice-illustrating the types of misused statistics with well-documented, real-world examples, nearly half new to this edition, drawn from a wide range of areas, including the media, public policy, polls and surveys, political election
Mit Funktionen Zusammenhänge und Veränderungen beschreiben (Mathematik Primarstufe und Sekundarstufe I + II)
by Hans Humenberger Berthold SchupparIn diesem Buch soll gezeigt werden, was Funktionen in der Mathematik und in Anwendungssituationen leisten können bzw. sollen. Funktionen haben bekanntlich viele Gesichter, und das Thema ist im schulischen Mathematikunterricht und auch in den Lehramtsstudiengängen prominent vertreten. Da ist es natürlich besonders wichtig, dass Studierende einen angemessenen Zugang zu diesem Thema bekommen, sodass sie einen solchen auch an ihre zukünftigen Schüler/innen weitergeben können. Im Buch werden viele praktische und fachwissenschaftliche Aspekte angesprochen und miteinander vernetzt (z. B. zur Geometrie und zur Stochastik), die u. E. zu einem tragfähigen Gesamtbild von „Elementaren Funktionen“ führen, wobei sich an manchen Stellen auch fachdidaktische Betrachtungen finden. Dabei sollen weder Realitätsbezüge noch innermathematische Zusammenhänge und Begründungen zu kurz kommen. Dem nicht ganz leichten Ziel, Verständlichkeit und mathematische Exaktheit miteinander zu verbinden, wollen wir mit diesem Buch ein Stück näher kommen. Zahlreiche Aufgaben (teilweise mit Lösungshinweisen) runden jedes Kapitel ab und sollen Leser/innen zum Üben, Verstehen und Weiterdenken anregen.
Mit Heterogenität im Mathematikunterricht umgehen lernen
by Juliane Leuders Timo Leuders Susanne Prediger Silke RuwischIn diesem Band werden konkrete Konzepte für die Lehreraus- und -weiterbildung diskutiert, in denen Mathematik-Lehrkräfte gezielt beim Unterrichten in heterogenen und insbesondere inklusiven Klassen unterstützt werden. Auf methodischer Ebene steht die Frage im Vordergrund, wie Praxisaspekte in Lehrveranstaltungen und Fortbildungen einbezogen werden können, inhaltlich entsteht ein Spektrum von verschiedenen Themen im Kontext von Heterogenität, wie z.B. Diagnose und Förderung, Differenzierung, Begabung, Sprache und Inklusion.Die zunehmende Heterogenität der Schülerinnen und Schüler stellt für Lehrkräfte eine Herausforderung dar, auf die die Lehrerbildung vorbereiten muss. Besondere Anforderungen ergeben sich in allen Schulformen durch die erhöhte Leistungsheterogenität und durch die Inklusion von Lernenden mit Behinderungen. Der Umgang mit einer Leistungsspanne, die von Lernschwierigkeiten bis hin zu mathematischer Begabung reicht, erfordert hohe fachdidaktische Kompetenzen.
Mittag-Leffler Functions, Related Topics and Applications (Springer Monographs in Mathematics)
by Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei RogosinThe 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the publication of the 1st edition, but not covered there.As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have caught the interest of the scientific community. Focusing on the theory of Mittag-Leffler functions, this volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular, the Mittag-Leffler functions make it possible to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and related special functions.The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, control theory and several other related areas.
Mittag-Leffler Functions, Related Topics and Applications
by Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei V. RogosinAs a result of researchers' and scientists' increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.
Mittelschicht unter Druck: Dynamiken in der österreichischen Mitte
by Roland Verwiebe Laura WiesböckIn Europa schrumpft die Mittelschicht, was für eine Reihe von EU-Mitgliedsländern bislang kaum untersucht wurde. Dies trifft auch auf Österreich zu, welches sich durch Umbau der Sozialpolitik, Flexibilisierung des Arbeitsmarktes, Zuwanderung und einem Aufstieg rechter politischer Parteien in einem starken Umbruchprozess befindet. Dies ist der Hintergrund für eine in diesem Sammelband erstmalig vorgenommene Analyse des Schrumpfens der österreichischen Mittelschicht. Der Band ist multidisziplinär angelegt (Autor*innen aus Soziologie, Ökonomie, Politikwissenschaft, Zeitgeschichte), und versammelt theoretisch orientierte und empirische Beiträge etablierter Autor*innen wie auch Nachwuchswissenschaftler*innen.
Mixed Boundary Problems in Solid Mechanics (UNITEXT #155)
by Natalya Vaysfeld Zinaida ZhuravlovaThe book covers a wide range of subjects and techniques related to mixed boundary problems of elasticity from basic concepts to special techniques that are unlikely to appear in traditional university graduate courses. This book may also be of interest to industrial researchers who encounter defects such as cracks and inclusions of different materials in mechanisms under different localization and type of loading. So the topics present the application of mathematical mechanics of solid bodies notably in elasticity, showing the interconnection of elasticity and temperature that would normally treated independently. Theoretical and experimental results are expected to be useful for researchers investigating a wide range of materials including metals, composites, ceramics, polymers, biomaterials and nanomaterials under different mechanical and temperature loading. The aim of the book is to introduce an interdisciplinary audience to a variety of stress state phenomena occurring in elasticity near defects and edges of the bodies. The book is aimed at researchers, primarily but not exclusively graduate students, postdoctoral researchers, specialists from Aerospace and Civil Engineering, Materials Science, and Engineering Mechanics and should naturally also be of interest to specialists of Physics and Applied Mathematics.
Mixed Boundary Value Problems
by Dean G. DuffyMethods for Solving Mixed Boundary Value ProblemsAn up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equat
Mixed Effects Models and Extensions in Ecology with R
by Neil Walker Elena N. Ieno Graham M. Smith Anatoly A. Saveliev Alain ZuurThis book discusses advanced statistical methods that can be used to analyse ecological data. Most environmental collected data are measured repeatedly over time, or space and this requires the use of GLMM or GAMM methods. The book starts by revising regression, additive modelling, GAM and GLM, and then discusses dealing with spatial or temporal dependencies and nested data.
Mixed Effects Models for Complex Data
by Lang WuAlthough standard mixed effects models are useful in a range of studies, other approaches must often be used in correlation with them when studying complex or incomplete data. Mixed Effects Models for Complex Data discusses commonly used mixed effects models and presents appropriate approaches to address dropouts, missing data, measurement errors,
Mixed Effects Models for the Population Approach: Models, Tasks, Methods and Tools (Chapman & Hall/CRC Biostatistics Series)
by Marc LavielleWide-Ranging Coverage of Parametric Modeling in Linear and Nonlinear Mixed Effects ModelsMixed Effects Models for the Population Approach: Models, Tasks, Methods and Tools presents a rigorous framework for describing, implementing, and using mixed effects models. With these models, readers can perform parameter estimation and modeling across a whol
Mixed-Effects Regression Models in Linguistics
by Dirk Speelman Kris Heylen Dirk GeeraertsWhen data consist of grouped observations or clusters, and there is a risk that measurements within the same group are not independent, group-specific random effects can be added to a regression model in order to account for such within-group associations. Regression models that contain such group-specific random effects are called mixed-effects regression models, or simply mixed models. Mixed models are a versatile tool that can handle both balanced and unbalanced datasets and that can also be applied when several layers of grouping are present in the data; these layers can either be nested or crossed. In linguistics, as in many other fields, the use of mixed models has gained ground rapidly over the last decade. This methodological evolution enables us to build more sophisticated and arguably more realistic models, but, due to its technical complexity, also introduces new challenges. This volume brings together a number of promising new evolutions in the use of mixed models in linguistics, but also addresses a number of common complications, misunderstandings, and pitfalls. Topics that are covered include the use of huge datasets, dealing with non-linear relations, issues of cross-validation, and issues of model selection and complex random structures. The volume features examples from various subfields in linguistics. The book also provides R code for a wide range of analyses.
Mixed Finite Element Methods and Applications
by Daniele Boffi Franco Brezzi Michel FortinNon-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.
Mixed Heritage in the Family: Racial Identity, Spousal Choice, and Childrearing
by Miri Song Carolyn LieblerAs interracial unions and multiracial people become more common in the United States, mixed-heritage people have come to be regarded by some as a bellwether of race relations in the country. Is the growth of this population a sign that we are now in a post-racial era and our racial identities no longer impact our daily lives? In Mixed Heritage in the Family,sociologists Carolyn A. Liebler and Miri Song explore how racially mixed people navigate racial boundaries as they choose spouses and raise families. Liebler and Song break new ground by being the first to combine and integrate the study of three aspects of life for people of mixed racial heritage – identity, spouse choice, and childrearing. This integrated approach reveals how complicated racial identification can be, and how it can be expressed in one’s choice of partner or in how one raises their children. The authors draw on census data and interviews with Asian-White, Black-White, and American Indian/Alaska Native-White mixed people to better understand how their identity choices are related to their choice of spouse and how they racially identify and raise their children. Increasingly, mixed people in the United States are identifying with multiple races. However, the authors find that mixed-race people are not a monolith and that how and why they identify varies considerably between and within each group. They found several common factors that influenced whether mixed-race people choose to identify as biracial, solely White, or solely as a racial minority. These factors include the history of the specific minority race in the U.S., the racial demographics of where they were raised, their social and cultural exposure to their White and non-White backgrounds, their attachment to their racial backgrounds, and how they are seen racially by others. The way mixed-heritage people identify was closely tied to the race of their spouse. However, having a White spouse did not necessarily mean the mixed-race person felt disconnected from their non-White heritage. White spouses varied in their racial consciousness and their interest in the culture of their mixed-race spouse’s minority ancestry. The spouse’s race, and the nature of racial overlap between the spouses, was also key in the racial upbringing of a mixed-heritage person’s child. In families where the parents share a minority racial heritage, couples lean into their shared ‘family race’, which guides their parenting choices and family life. Many mixed heritage parents found it important to foster racial pride in their children and combat negative racial stereotypes. Liebler and Song caution against making superficial predictions about the state of race relations in the U.S. based on an increase in the multiracial population. They show that race has not become less salient in the lives of many mixed-race people—American society is not post-racial. Mixed Heritage in the Family breaks new ground, provides compelling insights in its examination of the lives of mixed-race people, and shows how complicated racial identification can be.
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.
Mixed Lubrication in Hydrodynamic Bearings
by Dominique Bonneau Aurelian Fatu Dominique SouchetThis Series provides the necessary elements to the development and validation of numerical prediction models for hydrodynamic bearings. This book is dedicated to the mixed lubrication.
Mixed Models
by Eugene DemidenkoPraise for the First Edition "This book will serve to greatly complement the growing number of texts dealing with mixed models, and I highly recommend including it in one's personal library."--Journal of the American Statistical Association Mixed modeling is a crucial area of statistics, enabling the analysis of clustered and longitudinal data. Mixed Models: Theory and Applications with R, Second Edition fills a gap in existing literature between mathematical and applied statistical books by presenting a powerful examination of mixed model theory and application with special attention given to the implementation in R.The new edition provides in-depth mathematical coverage of mixed models' statistical properties and numerical algorithms, as well as nontraditional applications, such as regrowth curves, shapes, and images. The book features the latest topics in statistics including modeling of complex clustered or longitudinal data, modeling data with multiple sources of variation, modeling biological variety and heterogeneity, Healthy Akaike Information Criterion (HAIC), parameter multidimensionality, and statistics of image processing.Mixed Models: Theory and Applications with R, Second Edition features unique applications of mixed model methodology, as well as:Comprehensive theoretical discussions illustrated by examples and figuresOver 300 exercises, end-of-section problems, updated data sets, and R subroutinesProblems and extended projects requiring simulations in R intended to reinforce materialSummaries of major results and general points of discussion at the end of each chapterOpen problems in mixed modeling methodology, which can be used as the basis for research or PhD dissertationsIdeal for graduate-level courses in mixed statistical modeling, the book is also an excellent reference for professionals in a range of fields, including cancer research, computer science, and engineering.
Mixed Poisson Processes
by J GrandellTo date, Mixed Poisson processes have been studied by scientists primarily interested in either insurance mathematics or point processes. Work in one area has often been carried out without knowledge of the other area. Mixed Poisson Processes is the first book to combine and concentrate on these two themes, and to distinguish between the notions of distributions and processes. The first part of the text gives special emphasis to the estimation of the underlying intensity, thinning, infinite divisibility, and reliability properties. The second part is, to a greater extent, based on Lundberg's thesis.
Mixed Twistor D-modules
by Takuro MochizukiWe introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed Hodge modules. Alternatively, they can be viewed as a mixed version of the pure twistor D-modules studied by C. Sabbah and the author. The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular.
The Mixing of Magmas: Field Evidence, Numerical Models, Experiments (Advances in Volcanology)
by Diego PeruginiThis book provides a common theoretical and practical basis to the multifaceted nature of magma mixing. This process represents a fundamental phenomenon both in the evolution of igneous rocks and in triggering explosive volcanic eruptions. The topic is attacked surgically merging field evidence, numerical models, and experiments in order to draw the most complete picture about this natural process. Arguments are discussed in the light of Chaos Theory and Fractal Geometry as new tools to understand the role of magma mixing as a fundamental petrological and volcanological process. The book is intended to be a source of information and a stimulus for new ideas in students, young and possibly more experienced researches.
Mixture and Hidden Markov Models with R (Use R!)
by Ingmar Visser Maarten SpeekenbrinkThis book discusses mixture and hidden Markov models for modeling behavioral data. Mixture and hidden Markov models are statistical models which are useful when an observed system occupies a number of distinct “regimes” or unobserved (hidden) states. These models are widely used in a variety of fields, including artificial intelligence, biology, finance, and psychology. Hidden Markov models can be viewed as an extension of mixture models, to model transitions between states over time. Covering both mixture and hidden Markov models in a single book allows main concepts and issues to be introduced in the relatively simpler context of mixture models. After a thorough treatment of the theory and practice of mixture modeling, the conceptual leap towards hidden Markov models is relatively straightforward. This book provides many practical examples illustrating the wide variety of uses of the models. These examples are drawn from our own work in psychology, as well as other areas such as financial time series and climate data. Most examples illustrate the use of the authors’ depmixS4 package, which provides a flexible framework to construct and estimate mixture and hidden Markov models. All examples are fully reproducible and the accompanying hmmR package provides all the datasets used, as well as additional functionality. This book is suitable for advanced students and researchers with an applied background.
Mixture Model-Based Classification
by null Paul D. McNicholas"This is a great overview of the field of model-based clustering and classification by one of its leading developers. McNicholas provides a resource that I am certain will be used by researchers in statistics and related disciplines for quite some time. The discussion of mixtures with heavy tails and asymmetric distributions will place this text as the authoritative, modern reference in the mixture modeling literature." (Douglas Steinley, University of Missouri)Mixture Model-Based Classification is the first monograph devoted to mixture model-based approaches to clustering and classification. This is both a book for established researchers and newcomers to the field. A history of mixture models as a tool for classification is provided and Gaussian mixtures are considered extensively, including mixtures of factor analyzers and other approaches for high-dimensional data. Non-Gaussian mixtures are considered, from mixtures with components that parameterize skewness and/or concentration, right up to mixtures of multiple scaled distributions. Several other important topics are considered, including mixture approaches for clustering and classification of longitudinal data as well as discussion about how to define a clusterPaul D. McNicholas is the Canada Research Chair in Computational Statistics at McMaster University, where he is a Professor in the Department of Mathematics and Statistics. His research focuses on the use of mixture model-based approaches for classification, with particular attention to clustering applications, and he has published extensively within the field. He is an associate editor for several journals and has served as a guest editor for a number of special issues on mixture models.