Relations And Representations

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Introduction to Representation Theory

Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 228 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Representation Theory by : Pavel I. Etingof

Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Informal Relations from Democratic Representation to Corruption

Author : Zdenka
Publisher : Columbia University Press
ISBN 13 : 3838261739
Total Pages : 314 pages
Book Rating : 4.8/5 (382 download)

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Book Synopsis Informal Relations from Democratic Representation to Corruption by : Zdenka

Download or read book Informal Relations from Democratic Representation to Corruption written by Zdenka and published by Columbia University Press. This book was released on 2014-04-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Informal relations have been one of the major research topics of the social sciences since the 1990s. In order to allow for meaningful comparisons between different combinations of the positive and negative effects of informal relations on democratic representation, this book focuses on post-socialist Central and Eastern Europe as a particular region where formal democratic rules have been established, but competing informal rules are still strong. A broad spectrum of related analytical concepts is discussed from different perspectives and from different academic disciplines, then empirical cases of the relationship between informal relations and democratic representation are analyzed. The contributions span the whole continuum, as we perceive it, from civil society networks seen as supporting democratic representation to the perversion of democratic representation through political corruption. The final part of the book takes a closer look at corruption through four case studies from Russia.

Invisible Relations

Author : Elizabeth Susan Wahl
Publisher : Stanford University Press
ISBN 13 : 0804736502
Total Pages : 372 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Invisible Relations by : Elizabeth Susan Wahl

Download or read book Invisible Relations written by Elizabeth Susan Wahl and published by Stanford University Press. This book was released on 1999 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores how representations of intimacy between women included both a sexualized model of the "lesbian" tribade and an "idealized" model that portrayed female friendship as devoid of sexual expression.

A Course in Finite Group Representation Theory

Author : Peter Webb
Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis A Course in Finite Group Representation Theory by : Peter Webb

Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Developmental Spans in Event Comprehension and Representation

Author : Paul van den Broek
Publisher : Routledge
ISBN 13 : 1135449899
Total Pages : 475 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Developmental Spans in Event Comprehension and Representation by : Paul van den Broek

Download or read book Developmental Spans in Event Comprehension and Representation written by Paul van den Broek and published by Routledge. This book was released on 2013-12-16 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about building metaphorical bridges--all sorts of bridges. At the most basic level, it concerns the bridges that individuals build to understand the events that they experience--the bridges that connect the events in the mind's eye. At another level, it is about bridges that interconnect findings and theoretical frameworks concerning event comprehension and representation in different age groups, ranging from infancy to adulthood. Finally, it is about building bridges between researchers who share interests, yet may not ordinarily even be aware of each other's work. The success of the book will be measured in terms of the extent to which the contributors have been able to create a picture of the course of development across a wide span in chronological age, and across different types of events, from the fictional to the actual. The individuals whose work is represented in this book conduct their work in a shared environment--they all have an intellectual and scholarly interest in event comprehension and representation. These interests are manifest in the overlapping themes of their work. These include a focus on how people come to temporally integrate individual "snapshots" to form a coherent event that unfolds over time, to understand cause and effect, and to appreciate the role of the goal of events. Another overlapping theme involves the possibility of individual differences. These themes are apparent in work on the early development of representations of specific episodes and autobiographical memories, and comprehension of complex events such as stories involving multiple characters and emotions. The editors of this volume had two missions: * to create a development span by bringing together researchers working from infancy to adulthood, and * to create a bridge between individuals working from within the text comprehension perspective, within the naturalistic perspective, and with laboratory analogues to the naturalistic perspective. Their measure of success will be the extent to which they have been able to create a picture of the course of development across a wide span in chronological age, and across different types of events--from fictional to actual.

Revolution, Representation, and Authoritarianism

Author : Sarah Wessel
Publisher : Routledge
ISBN 13 : 1000479811
Total Pages : 227 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Revolution, Representation, and Authoritarianism by : Sarah Wessel

Download or read book Revolution, Representation, and Authoritarianism written by Sarah Wessel and published by Routledge. This book was released on 2021-11-29 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines Egypt’s turbulent and contradictory political period (2011-2015) as key to understanding contemporary politics in the country and the developments in the Arab region after the mass protests in 2010/11, more broadly. In doing so, it breaks new ground in the study of political representation, providing analytical innovation to the study of disenchantment with politics, democracy fatigue and social cohesion. Based on five years of intense fieldwork, the author provides rare insights into local and national ideas on politics, justice and identity, and on how people situate themselves and Egypt in the regional and global context. It analyzes how the creation of an alternate, political system was discussed and negotiated among the Egyptian population, the military, the government, public figures, the media, and international actors, and yet nevertheless today, Egypt has a new political regime that is the most repressive in the countries’ modern history. Finally, it recalls the emotions and perceptions of individuals and collectives and interlinks these local perspectives to national events and developments through time. This book will be of key interest to scholars and students of democratization and authoritarianism, Middle East Studies, political representation and informality, collective action, and more broadly to cultural studies and international relations.

Mathematical Topics on Representations of Ordered Structures and Utility Theory

Author : Gianni Bosi
Publisher : Springer Nature
ISBN 13 : 3030342263
Total Pages : 376 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematical Topics on Representations of Ordered Structures and Utility Theory by : Gianni Bosi

Download or read book Mathematical Topics on Representations of Ordered Structures and Utility Theory written by Gianni Bosi and published by Springer Nature. This book was released on 2020-01-23 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.

Parenting Representations

Author : Ofra Mayseless
Publisher : Cambridge University Press
ISBN 13 : 1139455826
Total Pages : 435 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Parenting Representations by : Ofra Mayseless

Download or read book Parenting Representations written by Ofra Mayseless and published by Cambridge University Press. This book was released on 2006-04-10 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of parents from their own perspective not just as socializing agents of their children has been long neglected. This book summarizes and presents the new and surging literature on parenting representations namely parents' views, emotions and internal world regarding their parenting. Within this area, several prominent researchers typically coming from the attachment tradition suggested various ways of assessing parenting representations, mostly by way of semi-structured interviews. This book presents their conceptualizations and includes detailed descriptions of their interviews and their coding schemes. In addition, a review and summary of the growing number of findings in this domain and an integrated conceptualization that serves a theoretical base for future research are presented. Finally, the clinical implications of the study of parenting representations are discussed at large. Clinical notions and conceptualizations regarding parenting representations are presented and thoroughly discussed including detailed case studies that demonstrate among other things intergenerational transmission of representations.

Modes of Representation

Author : Richard Kimberly Heck
Publisher : Oxford University Press
ISBN 13 : 0198861591
Total Pages : 444 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Modes of Representation by : Richard Kimberly Heck

Download or read book Modes of Representation written by Richard Kimberly Heck and published by Oxford University Press. This book was released on 2024-06-19 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modes of Presentation analyses a collection of problems, known as 'Frege's puzzle', resulting from how thinkers and speakers have a limited perspective on reference in thought and language. Heck argues that these puzzles have much to teach us both about the foundations of cognition and the nature of linguistic communication.

Spatial Representation and Reasoning for Robot Mapping

Author : Diedrich Wolter
Publisher : Springer Science & Business Media
ISBN 13 : 3540690115
Total Pages : 199 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Spatial Representation and Reasoning for Robot Mapping by : Diedrich Wolter

Download or read book Spatial Representation and Reasoning for Robot Mapping written by Diedrich Wolter and published by Springer Science & Business Media. This book was released on 2008-07-23 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates bene?ts of abstract and qualitative reasoning that have not received much attention in the context of autonomous robotics before. Bremen, Christian Freksa December 2007 Director of the SFB/TR 8 Spatial Cognition Preface This book addresses spatial representations and reasoning techniques for - bile robot mapping, providing an analysis of fundamental representations and processes involved. A spatial representation based on shape information is p- posed and shape analysis techniques are developed to tackle the correspondence problem in robot mapping. A general mathematical formulation is presented to provide the formal ground for an e?cient matching of con?gurations of objects. This book is a slightly revised version of my doctoral thesis submitted to the Faculty of Mathematics and Computer Science of the University of Bremen, Germany. Manycontributeto the developmentofa dissertation,butsomeofthemstand out. Christian Freksa, I thank you for supporting and encouraging my work, for introducing me to interdisciplinary work, for giving me the freedom to develop this dissertation, and for providing an enjoyable atmosphere to work in. Longin Jan Latecki, thank you for countless in-depth discussions helping me to develop andtopositionmywork,forthefruitfulcollaboration,andformakingaresearch stay possible that has been very valuable to me. I thank the research groups in Bremen and Philadelphia for helpful discussions and feedback, in particular Jan Oliver Wallgrun. ̈ I also thank Kai-Florian Richter, Sven Bertel, and Lutz Frommberger for feedback on this work. Robert Ross, thank you for helping to proof-read this dissertation.

Graph-Based Representations in Pattern Recognition

Author : Francisco Escolano
Publisher : Springer Science & Business Media
ISBN 13 : 354072902X
Total Pages : 427 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Graph-Based Representations in Pattern Recognition by : Francisco Escolano

Download or read book Graph-Based Representations in Pattern Recognition written by Francisco Escolano and published by Springer Science & Business Media. This book was released on 2007-05-31 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2007, held in Alicante, Spain in June 2007. The 23 revised full papers and 14 revised poster papers presented were carefully reviewed and selected from 54 submissions. The papers are organized in topical sections on matching, distances and measures, graph-based segmentation and image processing, graph-based clustering, graph representations, pyramids, combinatorial maps and homologies, as well as graph clustering, embedding and learning.

Representation Learning for Natural Language Processing

Author : Zhiyuan Liu
Publisher : Springer Nature
ISBN 13 : 9819916003
Total Pages : 535 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Representation Learning for Natural Language Processing by : Zhiyuan Liu

Download or read book Representation Learning for Natural Language Processing written by Zhiyuan Liu and published by Springer Nature. This book was released on 2023-08-23 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the recent advances in representation learning theory, algorithms, and applications for natural language processing (NLP), ranging from word embeddings to pre-trained language models. It is divided into four parts. Part I presents the representation learning techniques for multiple language entries, including words, sentences and documents, as well as pre-training techniques. Part II then introduces the related representation techniques to NLP, including graphs, cross-modal entries, and robustness. Part III then introduces the representation techniques for the knowledge that are closely related to NLP, including entity-based world knowledge, sememe-based linguistic knowledge, legal domain knowledge and biomedical domain knowledge. Lastly, Part IV discusses the remaining challenges and future research directions. The theories and algorithms of representation learning presented can also benefit other related domains such as machine learning, social network analysis, semantic Web, information retrieval, data mining and computational biology. This book is intended for advanced undergraduate and graduate students, post-doctoral fellows, researchers, lecturers, and industrial engineers, as well as anyone interested in representation learning and natural language processing. As compared to the first edition, the second edition (1) provides a more detailed introduction to representation learning in Chapter 1; (2) adds four new chapters to introduce pre-trained language models, robust representation learning, legal knowledge representation learning and biomedical knowledge representation learning; (3) updates recent advances in representation learning in all chapters; and (4) corrects some errors in the first edition. The new contents will be approximately 50%+ compared to the first edition. This is an open access book.

Text Representation

Author : Ted Sanders
Publisher : John Benjamins Publishing
ISBN 13 : 9781588110770
Total Pages : 378 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Text Representation by : Ted Sanders

Download or read book Text Representation written by Ted Sanders and published by John Benjamins Publishing. This book was released on 2001 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together linguistics and psycholinguistics. Text representation is considered a cognitive entity: a mental construct that plays a crucial role in both text production and text understanding.The focus is on referential and relational coherence and the role of linguistic characteristics as processing instructions from a text linguistic and discourse psychology point of view. Consequently, this book presents various research methodologies: linguistic analysis, text analysis, corpus linguistics, computational linguistics, argumentation analysis, and the experimental psycholinguistic study of text processing. The authors compare, test, and evaluate linguistic and processing theories of text representation.A state of the art volume in an emerging field of interest, located at the very heart of our communicative behavior: the study of text and text representation.

Quiver Representations

Author : Ralf Schiffler
Publisher : Springer
ISBN 13 : 3319092049
Total Pages : 230 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Quiver Representations by : Ralf Schiffler

Download or read book Quiver Representations written by Ralf Schiffler and published by Springer. This book was released on 2014-09-04 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed.

Cases on Persons and Domestic Relations

Author : Albert Martin Kales
Publisher :
ISBN 13 :
Total Pages : 882 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Cases on Persons and Domestic Relations by : Albert Martin Kales

Download or read book Cases on Persons and Domestic Relations written by Albert Martin Kales and published by . This book was released on 1913 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Representations of Perceptual Phenomena

Author : R. Duncan Luce
Publisher : Psychology Press
ISBN 13 : 1134789467
Total Pages : 371 pages
Book Rating : 4.1/5 (347 download)

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Book Synopsis Geometric Representations of Perceptual Phenomena by : R. Duncan Luce

Download or read book Geometric Representations of Perceptual Phenomena written by R. Duncan Luce and published by Psychology Press. This book was released on 2013-05-13 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference held in honor of Professor Tarow Indow, this volume is organized into three major topics concerning the use of geometry in perception: * space -- referring to attempts to represent the subjective space within which we locate ourselves and perceive objects to reside; * color -- dealing with attempts to represent the structure of color percepts as revealed by various experimental procedures; and * scaling -- focusing on the organization of various bodies of data -- in this case perceptual -- through scaling techniques, primarily multidimensional ones. These topics provide a natural organization of the work in the field, as well as one that corresponds to the major aspects of Indow's contributions. This book's goal is to provide the reader with an overview of the issues in each of the areas, and to present current results from the laboratories of leading researchers in these areas.

National Labor Relations Board Representation Elections and Initial Collective Bargaining Agreements

Author : United States. Congress. Senate. Committee on Appropriations. Subcommittee on Departments of Labor, Health and Human Services, Education, and Related Agencies
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis National Labor Relations Board Representation Elections and Initial Collective Bargaining Agreements by : United States. Congress. Senate. Committee on Appropriations. Subcommittee on Departments of Labor, Health and Human Services, Education, and Related Agencies

Download or read book National Labor Relations Board Representation Elections and Initial Collective Bargaining Agreements written by United States. Congress. Senate. Committee on Appropriations. Subcommittee on Departments of Labor, Health and Human Services, Education, and Related Agencies and published by . This book was released on 2008 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: