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Group Majorization Methods

2018-12 Mathematics
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Release : 2018-12
Genre : Mathematics
Kind : eBook
Book Rating : 561/5 ( reviews)

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Book Synopsis Group Majorization Methods by : Olga Moreira

Download or read book Group Majorization Methods written by Olga Moreira. This book was released on 2018-12. Available in PDF, EPUB and Kindle. Book excerpt: This edited book, On Group Majorization Methods and Extensions of Matrix Inequalities to Lie Group, is a collection of contemporary open access articles that highlight various aspects of majorization methods and the latest extensions of matrix inequalities. The book consists of two parts, one focuses on the refinement and expansion of matrix inequalities derived from the theorem of majorization; the other focuses on the study of inequalities in the context of Heisenberg and Lie groups. Part I, chapters 1 to 10 feature the following research topics: Generalization of the weighted majorization theorem; Extensions of majorization inqualities to convex and invex functions; Refinements of upper and lower bounds for several important inequalities such as the Sherman's the Jensen's, the Fischer's, the Hadamard's and the Lieb-Thirring inequalities, The connection between Shannon entropy with the theory of majorization; Multivariate trace inequalities that can extend the Golden-Thompson and the Araki-Lieb-Thirring inequalities. Part II, Chapters 11 to 15 feature inequalities such as the Hardy's, Weighted Rellich and Sobolev-Rellich inequalities in the context of nilpotent Lie groups. The intended audience of this edited book will mainly consist of graduate students and researching academics who are focused on various fields of mathematical sciences. The content of this volume will be of particular interest to linear algebraists and Lie group theoreticians. It is suitable for readers who possess an advanced university-level knowledge within the applicable fields of algebra, calculus, geometry, quantum mechanics, group theory or complex analysis. Book jacket.

Proportional Representation

2017-12-28 Mathematics
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Release : 2017-12-28
Genre : Mathematics
Kind : eBook
Book Rating : 075/5 ( reviews)

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Book Synopsis Proportional Representation by : Friedrich Pukelsheim

Download or read book Proportional Representation written by Friedrich Pukelsheim. This book was released on 2017-12-28. Available in PDF, EPUB and Kindle. Book excerpt: The book offers an in-depth study of the translation of vote counts into seat numbers in proportional representation systems – an approach guided by practical needs. It also provides plenty of empirical instances illustrating the results. It analyzes in detail the 2014 elections to the European Parliament in the 28 member states, as well as the 2009 and 2013 elections to the German Bundestag. This second edition is a complete revision and expanded version of the first edition published in 2014, and many empirical election results that serve as examples have been updated. Further, a final chapter has been added assembling biographical sketches and authoritative quotes from individuals who pioneered the development of apportionment methodology. The mathematical exposition and the interrelations with political science and constitutional jurisprudence make this an apt resource for interdisciplinary courses and seminars on electoral systems and apportionment methods.

Semigroups and Automata

2006 Computers
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Release : 2006
Genre : Computers
Kind : eBook
Book Rating : 827/5 ( reviews)

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Book Synopsis Semigroups and Automata by : Uno Kaljulaid

Download or read book Semigroups and Automata written by Uno Kaljulaid. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a selection of previously published papers and manuscripts of Uno Kaljulaid, an eminent Estonian algebraist of the last century. The central part of the book is the English translation of Kaljulaid's 1979 Candidate thesis, which originally was typewritten in Russian and manufactured in not so many copies. The thesis is devoted to representation theory in the spirit of his thesis advisor B.I. Plotkin: representations of semigroups and algebras, especially extension to this situation, and application of the notion of triangular product of representations for groups introduced by Plotkin. Through representation theory, Kaljulaid became also interested in automata theory, which at a later phase became his main area of interest. Another field of research concerns combinatorics. Besides being an outstanding and most dedicated mathematician, Uno Kaljulaid was also very much interested in the history of mathematics. In particular, he took a vivid interest in the life and work of the great 19th century Dorpat-Tartu algebraist Th. Molien. Kaljulaid was also very interested in teaching and exposition, or popularization of mathematics. Some of his more popular-scientific papers were published in an Estonian language journal Matemaatika ja Kaasaeg (Mathematics and Our Age). Among them, there is a whole series of papers about algebraic matters, culminating in a brilliant, elementary - although partly rather philosophical - essay devoted to Galois theory. Another such series is his excellent essay of Diophantine Geometry in various installments, followed by his loge to another of his teachers Yu. I. Manin. It is believed that the inclusion of these papers here will make it more interesting for beginners, and perhaps even contribute to attracting young people to mathematics.

New Developments in Classification and Data Analysis

2006-05-06 Business & Economics
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Release : 2006-05-06
Genre : Business & Economics
Kind : eBook
Book Rating : 735/5 ( reviews)

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Book Synopsis New Developments in Classification and Data Analysis by : Maurizio Vichi

Download or read book New Developments in Classification and Data Analysis written by Maurizio Vichi. This book was released on 2006-05-06. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains revised versions of selected papers presented during the biannual meeting of the Classification and Data Analysis Group of SocietA Italiana di Statistica, which was held in Bologna, September 22-24, 2003. The scientific program of the conference included 80 contributed papers. Moreover it was possible to recruit six internationally renowned invited spe- ers for plenary talks on their current research works regarding the core topics of IFCS (the International Federation of Classification Societies) and Wo- gang Gaul and the colleagues of the GfKl organized a session. Thus, the conference provided a large number of scientists and experts from home and abroad with an attractive forum for discussions and mutual exchange of knowledge. The talks in the different sessions focused on methodological developments in supervised and unsupervised classification and in data analysis, also p- viding relevant contributions in the context of applications. This suggested the presentation of the 43 selected papers in three parts as follows: CLASSIFICATION AND CLUSTERING Non parametric classification Clustering and dissimilarities MULTIVARIATE STATISTICS AND DATA ANALYSIS APPLIED MULTIVARIATE STATISTICS Environmental data Microarray data Behavioural and text data Financial data We wish to express our gratitude to the authors whose enthusiastic p- ticipation made the meeting possible. We are very grateful to the reviewers for the time spent in their professional reviewing work. We would also like to extend our thanks to the chairpersons and discussants of the sessions: their comments and suggestions proved very stimulating both for the authors and the audience.

Inequalities: Theory of Majorization and Its Applications

2010-11-25 Mathematics
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Release : 2010-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 767/5 ( reviews)

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Book Synopsis Inequalities: Theory of Majorization and Its Applications by : Albert W. Marshall

Download or read book Inequalities: Theory of Majorization and Its Applications written by Albert W. Marshall. This book was released on 2010-11-25. Available in PDF, EPUB and Kindle. Book excerpt: This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!” (Mathematical Reviews). “The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.

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