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The R Software
by Pierre Lafaye de Micheaux Rémy Drouilhet Benoit LiquetThe contents of The R Software are presented so as to be both comprehensive and easy for the reader to use. Besides its application as a self-learning text, this book can support lectures on R at any level from beginner to advanced. This book can serve as a textbook on R for beginners as well as more advanced users, working on Windows, MacOs or Linux OSes. The first part of the book deals with the heart of the R language and its fundamental concepts, including data organization, import and export, various manipulations, documentation, plots, programming and maintenance. The last chapter in this part deals with oriented object programming as well as interfacing R with C/C++ or Fortran, and contains a section on debugging techniques. This is followed by the second part of the book, which provides detailed explanations on how to perform many standard statistical analyses, mainly in the Biostatistics field. Topics from mathematical and statistical settings that are included are matrix operations, integration, optimization, descriptive statistics, simulations, confidence intervals and hypothesis testing, simple and multiple linear regression, and analysis of variance. Each statistical chapter in the second part relies on one or more real biomedical data sets, kindly made available by the Bordeaux School of Public Health (Institut de Santé Publique, d'Épidémiologie et de Développement - ISPED) and described at the beginning of the book. Each chapter ends with an assessment section: memorandum of most important terms, followed by a section of theoretical exercises (to be done on paper), which can be used as questions for a test. Moreover, worksheets enable the reader to check his new abilities in R. Solutions to all exercises and worksheets are included in this book.
R Statistics Cookbook: Over 100 recipes for performing complex statistical operations with R 3.5
by Francisco JuretigSolve real-world statistical problems using the most popular R packages and techniques Key Features Learn how to apply statistical methods to your everyday research with handy recipes Foster your analytical skills and interpret research across industries and business verticals Perform t-tests, chi-squared tests, and regression analysis using modern statistical techniques Book Description R is a popular programming language for developing statistical software. This book will be a useful guide to solving common and not-so-common challenges in statistics. With this book, you'll be equipped to confidently perform essential statistical procedures across your organization with the help of cutting-edge statistical tools. You'll start by implementing data modeling, data analysis, and machine learning to solve real-world problems. You'll then understand how to work with nonparametric methods, mixed effects models, and hidden Markov models. This book contains recipes that will guide you in performing univariate and multivariate hypothesis tests, several regression techniques, and using robust techniques to minimize the impact of outliers in data.You'll also learn how to use the caret package for performing machine learning in R. Furthermore, this book will help you understand how to interpret charts and plots to get insights for better decision making. By the end of this book, you will be able to apply your skills to statistical computations using R 3.5. You will also become well-versed with a wide array of statistical techniques in R that are extensively used in the data science industry. What you will learn Become well versed with recipes that will help you interpret plots with R Formulate advanced statistical models in R to understand its concepts Perform Bayesian regression to predict models and input missing data Use time series analysis for modelling and forecasting temporal data Implement a range of regression techniques for efficient data modelling Get to grips with robust statistics and hidden Markov models Explore ANOVA (Analysis of Variance) and perform hypothesis testing Who this book is for If you are a quantitative researcher, statistician, data analyst, or data scientist looking to tackle various challenges in statistics, this book is what you need! Proficiency in R programming and basic knowledge of linear algebra is necessary to follow along the recipes covered in this book.
R-ticulate: A Beginner's Guide to Data Analysis for Natural Scientists
by Martin Bader Sebastian LeuzingerAn accessible learning resource that develops data analysis skills for natural science students in an efficient style using the R programming language R-ticulate: A Beginner’s Guide to Data Analysis for Natural Scientists is a compact, example-based, and user-friendly statistics textbook without unnecessary frills, but instead filled with engaging, relatable examples, practical tips, online exercises, resources, and references to extensions, all on a level that follows contemporary curricula taught in large parts of the world. The content structure is unique in the sense that statistical skills are introduced at the same time as software (programming) skills in R. This is by far the best way of teaching from the authors’ experience. Readers of this introductory text will find: Explanations of statistical concepts in simple, easy-to-understand language A variety of approaches to problem solving using both base R and tidyverse Boxes dedicated to specific topics and margin text that summarizes key points A clearly outlined schedule organized into 12 chapters corresponding to the 12 semester weeks of most universities While at its core a traditional printed book, R-ticulate: A Beginner’s Guide to Data Analysis for Natural Scientists comes with a wealth of online teaching material, making it an ideal and efficient reference for students who wish to gain a thorough understanding of the subject, as well as for instructors teaching related courses.
R Visualizations: Derive Meaning from Data
by David GerbingR Visualizations: Derive Meaning from Data focuses on one of the two major topics of data analytics: data visualization, a.k.a., computer graphics. In the book, major R systems for visualization are discussed, organized by topic and not by system. Anyone doing data analysis will be shown how to use R to generate any of the basic visualizations with the R visualization systems. Further, this book introduces the author’s lessR system, which always can accomplish a visualization with less coding than the use of other systems, sometimes dramatically so, and also provides accompanying statistical analyses. Key Features Presents thorough coverage of the leading R visualization system, ggplot2. Gives specific guidance on using base R graphics to attain visualizations of the same quality as those provided by ggplot2. Shows how to create a wide range of data visualizations: distributions of categorical and continuous variables, many types of scatterplots including with a third variable, time series, and maps. Inclusion of the various approaches to R graphics organized by topic instead of by system. Presents the recent work on interactive visualization in R. David W. Gerbing received his PhD from Michigan State University in 1979 in quantitative analysis, and currently is a professor of quantitative analysis in the School of Business at Portland State University. He has published extensively in the social and behavioral sciences with a focus on quantitative methods. His lessR package has been in development since 2009.
Rabi N. Bhattacharya
by Manfred Denker Edward C. WaymireThis volume presents some of the most influential papers published by Rabi N. Bhattacharya, along with commentaries from international experts, demonstrating his knowledge, insight, and influence in the field of probability and its applications. For more than three decades, Bhattacharya has made significant contributions in areas ranging from theoretical statistics via analytical probability theory, Markov processes, and random dynamics to applied topics in statistics, economics, and geophysics. Selected reprints of Bhattacharya's papers are divided into three sections: Modes of Approximation, Large Times for Markov Processes, and Stochastic Foundations in Applied Sciences. The accompanying articles by the contributing authors not only help to position his work in the context of other achievements, but also provide a unique assessment of the state of their individual fields, both historically and for the next generation of researchers. Rabi N. Bhattacharya: Selected Papers will be a valuable resource for young researchers entering the diverse areas of study to which Bhattacharya has contributed. Established researchers will also appreciate this work as an account of both past and present developments and challenges for the future.
Race After Technology: Abolitionist Tools for the New Jim Code
by Ruha BenjaminFrom everyday apps to complex algorithms, Ruha Benjamin cuts through tech-industry hype to understand how emerging technologies can reinforce White supremacy and deepen social inequity. Benjamin argues that automation, far from being a sinister story of racist programmers scheming on the dark web, has the potential to hide, speed up, and deepen discrimination while appearing neutral and even benevolent when compared to the racism of a previous era. Presenting the concept of the “New Jim Code,” she shows how a range of discriminatory designs encode inequity by explicitly amplifying racial hierarchies; by ignoring but thereby replicating social divisions; or by aiming to fix racial bias but ultimately doing quite the opposite. Moreover, she makes a compelling case for race itself as a kind of technology, designed to stratify and sanctify social injustice in the architecture of everyday life. This illuminating guide provides conceptual tools for decoding tech promises with sociologically informed skepticism. In doing so, it challenges us to question not only the technologies we are sold but also the ones we ourselves manufacture.
Race and Gender in Electronic Media: Content, Context, Culture (Electronic Media Research Series)
by Rebecca Ann LindThis volume examines the consequences, implications, and opportunities associated with issues of diversity in the electronic media. With a focus on race and gender, the chapters represent diverse approaches, including social scientific, humanistic, critical, and rhetorical. The contributors consider race and gender issues in both historical and contemporary electronic media, and their work is presented in three sections: content, context (audiences, effects, and reception), and culture (media industries, policy, and production). In this book, the authors investigate, problematize, and theorize a variety of concerns which at their core relate to issues of difference. How do we use media to construct and understand different social groups? How do the media represent and affect our engagement with and responses to different social groups? How can we understand these processes and the environment within which they occur? Although this book focuses on the differences associated with race and gender, the questions raised by and the theoretical perspectives presented in the chapters are applicable to other forms of socially-constructed difference. Chapters 5, 10, 12, and 19 of this book are freely available as downloadable Open Access PDFs at http://www.taylorfrancis.com under a Creative Commons Attribution-Non Commercial-No Derivatives (CC-BY-NC-ND) 4.0 license.
Race and Racism in Britain: Fourth Edition
by John SolomosThis Fourth Edition of a pioneering handbook provides a critical analysis of the origins and evolution of political and policy debates regarding race and racism in British society. Drawing on a broad range of both theoretical and historical research, the focus of the book is on the development of policies and debates in the period from the second half of the 20th Century to the present. The book is organized into twelve chapters which provide an overview of key trends, situating the development of policies and developments in relation to immigration and citizenship, race relations policies and broader agendas about multiculturalism and living with difference. In the substantive chapters of the book there is also a detailed discussion of such issues as policing, urban unrest and protest, racist politics, black and ethnic minority politics and conversations about multiculturalism. This new edition engages with both the historical background as well as contemporary developments to provide a novel and wide-ranging account of the role that questions about race and racism play in British society.
Racial and Ethnic Residential Segregation Across the United States: New Approaches to Understanding Trends and Patterns (The Springer Series on Demographic Methods and Population Analysis #54)
by Amber R. Crowell Mark A. FossettThis open access book provides new findings on and insights into trends and patterns in residential segregation between racial and ethnic groups in the United States. It draws on new methods that make it possible to investigate segregation involving small groups and segregation patterns in nonmetropolitan communities with greater accuracy and clarity than has previously been possible. As one example, the authors are able to track residential segregation patterns across a wide selection of nonmetropolitan communities where Black, Latino, and Asian populations are small but can still potentially experience segregation. The authors also track White-Latino segregation from its inception when Latino households first arrived in non-negligible numbers in new destination communities and then document how segregation changes over time as the Latino population grows over time to become larger and more established. Finally, this work shows how segregation of Latino and Asian households is fundamentally different from that of Black households based on the much greater role that cultural and socioeconomic characteristics play in shaping White-Latino and White-Asian segregation in comparison to White-Black segregation.
The Racialized Social System: Critical Race Theory as Social Theory
by Ali MeghjiFar from its origins in US legal studies in the 1980s, critical race theory has grown to become a leading approach to the analysis of racial inequality around the world. It has courted much controversy along the way, often misunderstood and poorly defined. So what precisely is critical race theory and what makes it different from other theories of race, racialization and racism? In this incisive book, Ali Meghji defines the contours of critical race theory through the notion of the 'racialized social system'. He thereby excavates a solid social theory that clears up many empirical and conceptual questions that continue to surface, offering a flexible, practical model for studying structural racism. In making his case, Meghji pays attention to the multiple dimensions of the racialized social system, focusing on core phenomena such as interaction orders, material interests, ideologies, emotions, and organizations. In a context where any work mentioning 'race' gets defined as critical race theory, this book expounds an approach that promises to be more generative for the social scientific study of race.
Radar Detection Theory of Sliding Window Processes
by Graham WeinbergConstant false alarm rate detection processes are important in radar signal processing. Such detection strategies are used as an alternative to optimal Neyman-Pearson based decision rules, since they can be implemented as a sliding window process running on a radar range-Doppler map. This book examines the development of such detectors in a modern framework. With a particular focus on high resolution X-band maritime surveillance radar, recent approaches are outlined and examined. Performance is assessed when the detectors are run in real X-band radar clutter. The book introduces relevant mathematical tools to allow the reader to understand the development, and follow its implementation.
Radar Signal Analysis and Processing Using MATLAB
by Bassem R. MahafzaOffering radar-related software for the analysis and design of radar waveform and signal processing, Radar Signal Analysis and Processing Using MATLAB provides a comprehensive source of theoretical and practical information on radar signals, signal analysis, and radar signal processing with companion MATLAB code.Aft
Radar Systems Analysis and Design Using MATLAB
by Bassem R. MahafzaDeveloped from the author's graduate-level courses, the first edition of this book filled the need for a comprehensive, self-contained, and hands-on treatment of radar systems analysis and design. It quickly became a bestseller and was widely adopted by many professors. The second edition built on this successful format by rearranging and updating
The Rademacher System in Function Spaces
by Sergey V. AstashkinThis book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system is considered respectively in Lp-spaces, in general symmetric spaces and in certain classes of non-symmetric spaces (BMO, Paley, Cesaro, Morrey). The presentation is clear and transparent, providing all main results with detailed proofs. Moreover, literary and historical comments are given at the end of each chapter. This book will be suitable for graduate students and researchers interested in functional analysis, theory of functions and geometry of Banach spaces.
Radial Basis Function (RBF) Neural Network Control for Mechanical Systems
by Jinkun LiuRadial Basis Function (RBF) Neural Network Control for Mechanical Systems is motivated by the need for systematic design approaches to stable adaptive control system design using neural network approximation-based techniques. The main objectives of the book are to introduce the concrete design methods and MATLAB simulation of stable adaptive RBF neural control strategies. In this book, a broad range of implementable neural network control design methods for mechanical systems are presented, such as robot manipulators, inverted pendulums, single link flexible joint robots, motors, etc. Advanced neural network controller design methods and their stability analysis are explored. The book provides readers with the fundamentals of neural network control system design. This book is intended for the researchers in the fields of neural adaptive control, mechanical systems, Matlab simulation, engineering design, robotics and automation. Jinkun Liu is a professor at Beijing University of Aeronautics and Astronautics.
Radiation-Induced Processes of Adaptation: Research by statistical modelling
by Victoria L. Korogodina Ludmila P. Osipova Boris FlorkoIn recent decades radiobiologists' efforts have been directed at identifying the mechanisms of radiation effects; the general mechanisms have since been studied extensively. This book describes and analyzes radiation-induced adaptation as processes produced in cells, tissues, and populations. This viewpoint helps to understand the nature and factors of induced processes, to determine the characteristics of observed radiation effects and their limitations. The investigations presented here were founded on proper lab experiments, ecological studies of plant population growth near an operating nuclear power plant and a thorough epidemiological examination of human populations living in territories polluted fifty years ago, as well as on relevant published data. This research demonstrates the radiation-induced adaptation processes that continue even when the radiation itself is no longer at a critical background level. The investigations utilized the method of statistical modeling on the basis of distributions on the number of abnormalities. This method allows us to investigate the processes induced by low-dose factors when accompanied by Darwinian selection in different systems; the distribution parameters can then be used to study the characteristics of adaptation processes and system resistance. The consequences of background-level radiation continue to provoke debate, and the mathematical bases of the adaptation model are shown, while due consideration is paid to the components of adaptation: instability, selection, and proliferation. The book will be especially useful to specialists in radiation pollution, ecology, epidemiology, and radiology for studies of radiation-induced processes; the method presented here can also be adapted to investigate low-dose effects in other fields. In addition, the book presents a number of reviews in the fields of radiation biology, including pioneering investigations in Russia which were previously unavailable to Western scientists.
Radiative Transfer: An Introduction to Exact and Asymptotic Methods
by Hélène FrischThis book discusses analytic and asymptotic methods relevant to radiative transfer in dilute media, such as stellar and planetary atmospheres. Several methods, providing exact expressions for the radiation field in a semi-infinite atmosphere, are described in detail and applied to unpolarized and polarized continuous spectra and spectral lines. Among these methods, the Wiener–Hopf method, introduced in 1931 for a stellar atmospheric problem, is used today in fields such as solid mechanics, diffraction theory, or mathematical finance. Asymptotic analyses are carried out on unpolarized and polarized radiative transfer equations and on a discrete time random walk. Applicable when photons undergo a large number of scatterings, they provide criteria to distinguish between large-scale diffusive and non-diffusive behaviors, typical scales of variation of the radiation field, such as the thermalization length, and specific descriptions for regions close and far from boundaries. Its well organized synthetic view of exact and asymptotic methods of radiative transfer makes this book a valuable resource for both graduate students and professional scientists in astrophysics and beyond.
Radical Equations: Civil Rights from Mississippi to the Algebra Project
by Robert Moses Charles E. CobbAt a time when popular solutions to the educational plight of poor children of color are imposed from the outside—national standards, high-stakes tests, charismatic individual saviors—the acclaimed Algebra Project and its founder, Robert Moses, offer a vision of school reform based in the power of communities. Begun in 1982, the Algebra Project is transforming math education in twenty-five cities. Founded on the belief that math-science literacy is a prerequisite for full citizenship in society, the Project works with entire communities—parents, teachers, and especially students—to create a culture of literacy around algebra, a crucial stepping-stone to college math and opportunity. This book provides a model for anyone looking for a community-based solution to the problems of our disadvantaged schools.
Radical Uncertainty: Decision-making for an unknowable future
by John Kay Mervyn KingLONGLISTED FOR THE FT/MCKINSEY BUSINESS BOOK OF THE YEAR AWARD 2020'A brilliant new book' Daily Telegraph'Well written . . . and often entertaining'The Times'A sparkling analysis'Prospect'Entertaining and enlightening . . . This is a necessary critique and they make it with verve, knowledge and a wealth of stories' Financial Times'An elegant, wise and timely book' Irish Times'Jam-packed with erudition' New StatesmanThis major, critically acclaimed work asks a vitally important question for today: when uncertainty is all around us, and the facts are not clear, how can we make good decisions? We do not know what the future will hold, particularly in the midst of a crisis, but we must make decisions anyway. We regularly crave certainties which cannot exist and invent knowledge we cannot have, forgetting that humans are successful because we have adapted to an environment that we understand only imperfectly. Throughout history we have developed a variety of ways of coping with the radical uncertainty that defines our lives. This incisive and eye-opening book draws on biography, history, mathematics, economics and philosophy to highlight the most successful - and most short-sighted - methods of dealing with an unknowable future. Ultimately, the authors argue, the prevalent method of our age falls short, giving us a false understanding of our power to make predictions, leading to many of the problems we experience today.
Radical Uncertainty: Decision-making for an unknowable future
by Mervyn King John KayLONGLISTED FOR THE FT/MCKINSEY BUSINESS BOOK OF THE YEAR AWARD 2020'A brilliant new book' Daily Telegraph'Well written . . . and often entertaining'The Times'A sparkling analysis'Prospect'Entertaining and enlightening . . . This is a necessary critique and they make it with verve, knowledge and a wealth of stories' Financial Times'An elegant, wise and timely book' Irish Times'Jam-packed with erudition' New StatesmanThis major, critically acclaimed work asks a vitally important question for today: when uncertainty is all around us, and the facts are not clear, how can we make good decisions? We do not know what the future will hold, particularly in the midst of a crisis, but we must make decisions anyway. We regularly crave certainties which cannot exist and invent knowledge we cannot have, forgetting that humans are successful because we have adapted to an environment that we understand only imperfectly. Throughout history we have developed a variety of ways of coping with the radical uncertainty that defines our lives. This incisive and eye-opening book draws on biography, history, mathematics, economics and philosophy to highlight the most successful - and most short-sighted - methods of dealing with an unknowable future. Ultimately, the authors argue, the prevalent method of our age falls short, giving us a false understanding of our power to make predictions, leading to many of the problems we experience today.
The Radon Transform and Local Tomography
by Alexander G. Ramm Alex I. KatsevichOver the past decade, the field of image processing has made tremendous advances. One type of image processing that is currently of particular interest is "tomographic imaging," a technique for computing the density function of a body, or discontinuity surfaces of this function. Today, tomography is widely used, and has applications in such fields as medicine, engineering, physics, geophysics, and security. The Radon Transform and Local Tomography clearly explains the theoretical, computational, and practical aspects of applied tomography. It includes sufficient background information to make it essentially self-contained for most readers.
Radon Transforms and the Rigidity of the Grassmannians (Annals of Mathematics Studies #156)
by Jacques Gasqui Hubert GoldschmidtThis book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary focus is the spectral rigidity problem: Can the metric of a given Riemannian symmetric space of compact type be characterized by means of the spectrum of its Laplacian? It also addresses a question rooted in the Blaschke problem: Is a Riemannian metric on a projective space whose geodesics are all closed and of the same length isometric to the canonical metric? The authors comprehensively treat the results concerning Radon transforms and the infinitesimal versions of these two problems. Their main result implies that most Grassmannians are spectrally rigid to the first order. This is particularly important, for there are still few isospectrality results for positively curved spaces and these are the first such results for symmetric spaces of compact type of rank >1. The authors exploit the theory of overdetermined partial differential equations and harmonic analysis on symmetric spaces to provide criteria for infinitesimal rigidity that apply to a large class of spaces. A substantial amount of basic material about Riemannian geometry, symmetric spaces, and Radon transforms is included in a clear and elegant presentation that will be useful to researchers and advanced students in differential geometry.
The Rainy Spell and Other Korean Stories
by Ji-moon SuhThis anthology of short stories reflects the writers' shared core experience of Korea's trajectory from an inward-looking feudal state, through Japanese colony and battle-ground for the Korean War, to a modernizing society. Three stories have been added to the original edition.
Ramanujan
by Vashanti RahamanSrinivasa Ramanujan has been described as a rock-star mathematician. Though he died almost one hundred years ago, his work in mathematics will always be important.
Ramanujan's Lost Notebook, Part IV
by George E. Andrews Bruce C. BerndtIn the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony.<P><P> This volume is the fourth of five volumes that the authors plan to write on Ramanujan's lost notebook. In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on q-series. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems.