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Author : Susann Vihma
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)
Download or read book Products as Representations written by Susann Vihma and published by . This book was released on 1995 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Elad
Publisher : Springer Science & Business Media
ISBN 13 : 1441970118
Total Pages : 376 pages
Book Rating : 4.4/5 (419 download)
Download or read book Sparse and Redundant Representations written by Michael Elad and published by Springer Science & Business Media. This book was released on 2010-08-12 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A long long time ago, echoing philosophical and aesthetic principles that existed since antiquity, William of Ockham enounced the principle of parsimony, better known today as Ockham’s razor: “Entities should not be multiplied without neces sity. ” This principle enabled scientists to select the ”best” physical laws and theories to explain the workings of the Universe and continued to guide scienti?c research, leadingtobeautifulresultsliketheminimaldescriptionlength approachtostatistical inference and the related Kolmogorov complexity approach to pattern recognition. However, notions of complexity and description length are subjective concepts anddependonthelanguage“spoken”whenpresentingideasandresults. The?eldof sparse representations, that recently underwent a Big Bang like expansion, explic itly deals with the Yin Yang interplay between the parsimony of descriptions and the “language” or “dictionary” used in them, and it became an extremely exciting area of investigation. It already yielded a rich crop of mathematically pleasing, deep and beautiful results that quickly translated into a wealth of practical engineering applications. You are holding in your hands the ?rst guide book to Sparseland, and I am sure you’ll ?nd in it both familiar and new landscapes to see and admire, as well as ex cellent pointers that will help you ?nd further valuable treasures. Enjoy the journey to Sparseland! Haifa, Israel, December 2009 Alfred M. Bruckstein vii Preface This book was originally written to serve as the material for an advanced one semester (fourteen 2 hour lectures) graduate course for engineering students at the Technion, Israel.
Author : S.M. Vovsi
Publisher : Springer Science & Business Media
ISBN 13 : 1468467212
Total Pages : 140 pages
Book Rating : 4.4/5 (684 download)
Download or read book Triangular Products of Group Representations and Their Applications written by S.M. Vovsi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction considered in these notes is based on a very simple idea. Let (A, G ) and (B, G ) be two group representations, for definiteness faithful and finite 1 2 dimensional, over an arbitrary field. We shall say that a faithful representation (V, G) is an extension of (A, G ) by (B, G ) if there is a G-submodule W of V such that 1 2 the naturally arising representations (W, G) and (V/W, G) are isomorphic, modulo their kernels, to (A, G ) and (B, G ) respectively. 1 2 Question. Among all the extensions of (A, G ) by (B, G ), does there exist 1 2 such a "universal" extension which contains an isomorphic copy of any other one? The answer is in the affirmative. Really, let dim A = m and dim B = n, then the groups G and G may be considered as matrix groups of degrees m and n 1 2 respectively. If (V, G) is an extension of (A, G ) by (B, G ) then, under certain 1 2 choice of a basis in V, all elements of G are represented by (m + n) x (m + n) mat rices of the form (*) ~1-~ ~-J lh I g2 I .
Author : Eujin Pei
Publisher : CRC Press
ISBN 13 : 100047450X
Total Pages : 280 pages
Book Rating : 4.0/5 (4 download)
Download or read book Product Design and the Role of Representation written by Eujin Pei and published by CRC Press. This book was released on 2022-03-16 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book responds to the expression ‘all you always wanted to know about design representation but didn’t know where to ask’. Indeed, the book is a thematic guide to design representation, and the amount of information about design representations it holds is phenomenal." Professor Gabriela Goldschmidt Technion - Israel Institute of Technology This book extends understanding of the design process by exploring design representation types and examining them as theoretical constructs. It shows how fidelity and ambiguity inform the creative act of design, and considers design thinking through the lens of design representation. Design thinking is a method that has the potential to stimulate and enhance creativity. This book enhances understanding of what constitutes design thinking, why it is used and how it can be applied in practice to explore and develop ideas. The book positions a particular type of thinking through design representations, exploring this from its roots in design history, to the types of thinking in action associated with contemporary design practice. A taxonomy of design representations as a scaffold to express design intent, is applied to real world case studies. Product Design and the Role of Representation will be of interest to those working in or studying product development, engineering design and additive manufacturing.
Author : H. E. Moses
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book Reduction of the Direct Product of Representations of the Poincareʹ Group written by H. E. Moses and published by . This book was released on 1969 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The factors of the direct product and the representations which appear in the expansion are expressed in terms of a particular momentum representation called 'the standard helicity representation' which enables one to use a uniform notation for all masses, whether real, zero, or imaginary. The earlier portions of the present paper summarizes the properties of these representations.
Author : Sukhvinder S. Obhi
Publisher : Cambridge University Press
ISBN 13 : 1107050200
Total Pages : 699 pages
Book Rating : 4.1/5 (7 download)
Download or read book Shared Representations written by Sukhvinder S. Obhi and published by Cambridge University Press. This book was released on 2016-11-17 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of cutting-edge contributions on the idea of shared representations - information sharing between the brains of those involved.
Author : Roe Goodman
Publisher : Cambridge University Press
ISBN 13 : 9780521663489
Total Pages : 708 pages
Book Rating : 4.6/5 (634 download)
Download or read book Representations and Invariants of the Classical Groups written by Roe Goodman and published by Cambridge University Press. This book was released on 2000-01-13 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.
Author : Peter Hoffman
Publisher : Springer
ISBN 13 : 3540348603
Total Pages : 154 pages
Book Rating : 4.5/5 (43 download)
Download or read book Tau-Rings and Wreath Product Representations written by Peter Hoffman and published by Springer. This book was released on 2006-11-15 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Signal Transduction in Cardiovascular System in Health and Disease Madhu B. Anand- Srivastava and Ashok K. Srivastava This book has addressed the contributions of several key signal transduction pathways which are central to our understanding of cardiovascular physiology and pathophysiology. Aberrations in these signaling events have been suggested to be involved in a host of cardiovascular pathologies, such as cardiac arrhythmias, congenital heart failure and hypertension. All the chapters have been written by well known leaders in the fields, which cover a wide range of intracellular events that regulate various aspects of cardiovascular functions. This book will be of interest to both basic as well as clinical scientists seeking to understand the molecular basis of cardiovascular diseases, and also to those interested in defining targets for cardiovascular pharmacotherapy. About the Authors Dr. Madhu B. Anand-Srivastava is a Professor, Department of Physiology, and a member of the Group de recherche sur le système nerveux autonome, University of Montréal. In 1990, she received a prestigious Scientist Award from Medical Research Council of Canada and in 2004, she was bestowed with the Vincenzo Panagia Distinguished Lecturer award from the Institute of Cardiovascular Sciences of the University of Manitoba, Winnipeg. She is an internationally recognized expert in the area of G-protein and natriuretic peptide receptor-C signaling, and has made significant contributions in defining the role of Gia proteins in the pathogenesis of hypertension. She has published more than 125 papers in refereed journals and edited 3 books in the area of G-proteins, hypertension and NPR-C receptor and cell signaling, and has been invited to several National and International conferences and academic institutions to present her work. Dr. Anand-Srivastava has served or is currently on different committees of the Canadian Institutes of Health Research and Heart and Stroke Foundation of Canada, and is also on the editorial boards of several scientific publications, including the Journal of Molecular and Cellular Cardiology and Molecular and Cellular Biochemistry. She has also organized several National and International conferences on cell signaling in cardiovascular system. Dr. Ashok K. Srivastava is a Professor at the Department of Medicine, Université de Montréal, and Head of the Laboratory of Cell Signaling at the Research Center of the Centre hospitalier de l'Université de Montréal (CHUM). He has over 100 publications in fields of insulin, vasoactive peptide and redox signaling, and cardiovascular complications. He has served or is serving as a guest editor of many journals such as Antioxidant and Redox Signaling, Canadian Journal of Physiology and Pharmacology, Cell Biochemistry and Biophysics and Molecular and Cellular Biochemistry, and is currently a member of the editorial boards of Advances in Biochemistry in Health and Disease and Recent Patents on Endocrine, Metabolic and Immune Drug Discovery. Dr. Srivastava is also on the grant review panels of the Canadian Institutes of Health Research, the Heart and Stroke Foundation of Canada and the National Institutes of Health. He has also organized several International symposia and workshops on Second Messengers and cell signaling.
Author : H.F Jones
Publisher : CRC Press
ISBN 13 : 9781420050295
Total Pages : 348 pages
Book Rating : 4.0/5 (52 download)
Download or read book Groups, Representations and Physics written by H.F Jones and published by CRC Press. This book was released on 2020-07-14 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness and widened its appeal by adding a chapter on the Cartan-Dynkin treatment of Lie algebras. This treatment, a generalization of the method of raising and lowering operators used for the rotation group, leads to a systematic classification of Lie algebras and enables one to enumerate and construct their irreducible representations. Taking an approach that allows physics students to recognize the power and elegance of the abstract, axiomatic method, the book focuses on chapters that develop the formalism, followed by chapters that deal with the physical applications. It also illustrates formal mathematical definitions and proofs with numerous concrete examples.
Author : Jürgen Fuchs
Publisher : Cambridge University Press
ISBN 13 : 9780521541190
Total Pages : 464 pages
Book Rating : 4.5/5 (411 download)
Download or read book Symmetries, Lie Algebras and Representations written by Jürgen Fuchs and published by Cambridge University Press. This book was released on 2003-10-07 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.
Author : Stuart Hall
Publisher : SAGE
ISBN 13 : 9780761954323
Total Pages : 422 pages
Book Rating : 4.9/5 (543 download)
Download or read book Representation written by Stuart Hall and published by SAGE. This book was released on 1997-04-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This broad-ranging text offers a comprehensive outline of how visual images, language and discourse work as `systems of representation'. Individual chapters explore: representation as a signifying practice in a rich diversity of social contexts and institutional sites; the use of photography in the construction of national identity and culture; other cultures in ethnographic museums; fantasies of the racialized `Other' in popular media, film and image; the construction of masculine identities in discourses of consumer culture and advertising; and the gendering of narratives in television soap operas.
Author : Asim Orhan Barut
Publisher : World Scientific
ISBN 13 : 9789971502171
Total Pages : 750 pages
Book Rating : 4.5/5 (21 download)
Download or read book Theory of Group Representations and Applications written by Asim Orhan Barut and published by World Scientific. This book was released on 1986 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie!algebras - Topological!groups - Lie!groups - Representations - Special!functions - Induced!representations.
Author : Jean-Pierre Serre
Publisher : CRC Press
ISBN 13 : 1439863865
Total Pages : 203 pages
Book Rating : 4.4/5 (398 download)
Download or read book Abelian l-Adic Representations and Elliptic Curves written by Jean-Pierre Serre and published by CRC Press. This book was released on 1997-11-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one
Author : Barry Simon
Publisher : American Mathematical Soc.
ISBN 13 : 0821804537
Total Pages : 280 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representations of Finite and Compact Groups written by Barry Simon and published by American Mathematical Soc.. This book was released on 1996 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a comprehensive pedagogical presentation of the theory of representation of finite and compact Lie groups. It considers both the general theory and representation of specific groups. Representation theory is discussed on the following types of groups: finite groups of rotations, permutation groups, and classical compact semisimple Lie groups. Along the way, the structure theory of the compact semisimple Lie groups is exposed. This is aimed at research mathematicians and graduate students studying group theory.
Author :
Publisher :
ISBN 13 : 9789171977199
Total Pages : 30 pages
Book Rating : 4.9/5 (771 download)
Download or read book Product Representations written by and published by . This book was released on 1998 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alberto Ibort
Publisher : CRC Press
ISBN 13 : 1351869574
Total Pages : 362 pages
Book Rating : 4.3/5 (518 download)
Download or read book An Introduction to Groups, Groupoids and Their Representations written by Alberto Ibort and published by CRC Press. This book was released on 2019-10-28 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups. Using a categorical language, developed from simple examples, the theory of finite groupoids is shown to knit neatly with that of groups and their structure as well as that of their representations is described. The book comprises numerous examples and applications, including well-known games and puzzles, databases and physics applications. Key concepts have been presented using only basic notions so that it can be used both by students and researchers interested in the subject. Category theory is the natural language that is being used to develop the theory of groupoids. However, categorical presentations of mathematical subjects tend to become highly abstract very fast and out of reach of many potential users. To avoid this, foundations of the theory, starting with simple examples, have been developed and used to study the structure of finite groups and groupoids. The appropriate language and notions from category theory have been developed for students of mathematics and theoretical physics. The book presents the theory on the same level as the ordinary and elementary theories of finite groups and their representations, and provides a unified picture of the same. The structure of the algebra of finite groupoids is analysed, along with the classical theory of characters of their representations. Unnecessary complications in the formal presentation of the subject are avoided. The book offers an introduction to the language of category theory in the concrete setting of finite sets. It also shows how this perspective provides a common ground for various problems and applications, ranging from combinatorics, the topology of graphs, structure of databases and quantum physics.
Author : Robert N. Cahn
Publisher : Courier Corporation
ISBN 13 : 0486150313
Total Pages : 180 pages
Book Rating : 4.4/5 (861 download)
Download or read book Semi-Simple Lie Algebras and Their Representations written by Robert N. Cahn and published by Courier Corporation. This book was released on 2014-06-10 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to acquaint students of particle physiME already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topiME include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. 1984 edition.
