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This volume contains nine survey articles based on plenary lectures given at the 28th British Combinatorial Conference, hosted online by Durham University in July 2021. This biennial conference is a well-established international event, attracting speakers from around the world. Written by some of the foremost researchers in the field, these surveys provide up-to-date overviews of several areas of contemporary interest in combinatorics. Topics discussed include maximal subgroups of finite simple groups, Hasse-Weil type theorems and relevant classes of polynomial functions, the partition complex, the graph isomorphism problem, and Borel combinatorics. Representing a snapshot of current developments in combinatorics, this book will be of interest to researchers and graduate students in mathematics and theoretical computer science.
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This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of London in July 2024. Each article provides an overview of recent developments in a current hot research topic in combinatorics. Topics covered include: Latin squares, Erdős covering systems, finite field models, sublinear expanders, cluster expansion, the slice rank polynomial method, and oriented trees and paths in digraphs. The authors are among the world's foremost researchers on their respective topics but their surveys are accessible to nonspecialist readers: they are written clearly with little prior knowledge assumed and with pointers to the wider literature. Taken together these surveys give a snapshot of the research frontier in contemporary combinatorics, helping researchers and graduate students in mathematics and theoretical computer science to keep abreast of the latest developments in the field.
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Multivariate analysis. --- Regression analysis. --- Anàlisi multivariable --- Anàlisi de regressió
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Now in its second edition, this textbook provides an applied and unified introduction to parametric, nonparametric and semiparametric regression that closes the gap between theory and application. The most important models and methods in regression are presented on a solid formal basis, and their appropriate application is shown through numerous examples and case studies. The most important definitions and statements are concisely summarized in boxes, and the underlying data sets and code are available online on the book’s dedicated website. Availability of (user-friendly) software has been a major criterion for the methods selected and presented.The chapters address the classical linear model and its extensions, generalized linear models, categorical regression models, mixed models, nonparametric regression, structured additive regression, quantile regression and distributional regression models. Two appendices describe the required matrix algebra, as well as elements of probability calculus and statistical inference.In this substantially revised and updated new edition the overview on regression models has been extended, and now includes the relation between regression models and machine learning, additional details on statistical inference in structured additive regression models have been added and a completely reworked chapter augments the presentation of quantile regression with a comprehensive introduction to distributional regression models. Regularization approaches are now more extensively discussed in most chapters of the book.The book primarily targets an audience that includes students, teachers and practitioners in social, economic, and life sciences, as well as students and teachers in statistics programs, and mathematicians and computer scientists with interests in statistical modeling and data analysis. It is written at an intermediate mathematical level and assumes only knowledge of basic probability, calculus, matrix algebra and statistics.
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"Análisis de la Conversación provides the first comprehensive, Spanish-language introduction to the field of Conversation Analysis (CA), utilizing conversational data that is publicly available online. The book is organized in nine chapters. The opening chapters introduce Conversation Analysis as a unique theory and method to study language and other forms of conduct in social interaction. Readers are presented with a history of the development of this framework for analyzing interaction and introduced to the transcription system used in CA. The following chapters explore four key domains of organization within spontaneous conversation-turn-taking, preference, sequence, and repair-highlighting the importance of turn design practices in each. The authors then review the connection of these organizations and practices to social contexts and participant identities, and they conclude by suggesting a range of avenues for future research on Spanish conversation, including its relevance in specific legal, political, medical, and technological settings. Each chapter includes a variety of examples from authentic Spanish conversation, which readers can consult directly online. Each chapter is additionally accompanied by a set of questions and activities that allow readers to check and reinforce their understanding, as well as lists of additional readings for readers interested in more specific topics. Glossaries of technical vocabulary-both Spanish-English and English-Spanish-are included as appendices, along with a summary of transcription system notation. Written entirely in Spanish, this book presents a thorough and engaging introduction to Conversation Analysis and its applications. It is ideal for students, instructors, and researchers in Hispanic Studies, (Spanish) Linguistics, Sociology, and Communication Studies"--
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This textbook offers a comprehensive exploration of functional analysis, covering a wide range of topics. With over 150 solved examples and more than 320 problems, the book is designed to be both motivational and user-friendly for students for senior undergraduate and graduate courses in mathematics, providing clear and thorough explanations of all concepts. The second volume in a three-part series, this book delves into normed spaces, linear functionals, locally convex spaces, Banach spaces, Hilbert spaces, topology of Banach spaces, operators on Banach spaces and geometry of Banach spaces. The text is written in a clear and engaging style, making it ideal for independent study. It offers a valuable source for students seeking a deeper understanding of functional analysis, and provides a solid understanding of the topic.
Functional analysis. --- Functional Analysis. --- Anàlisi funcional
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