Download or read book Integer Partitions written by George E. Andrews and published by Cambridge University Press. This book was released on 2004-10-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.
Download or read book The Theory of Partitions written by George E. Andrews and published by Cambridge University Press. This book was released on 1998-07-28 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses mathematics related to partitions of numbers into sums of positive integers.
Download or read book Combinatorial Set Theory Partition Relations for Cardinals written by P. Erdös and published by Elsevier. This book was released on 2011-08-18 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods in partition calculus includes a section on topology with Arhangel'skii's famous result that a first countable compact Hausdorff space has cardinality, at most continuum. Several sections on set mappings are included as well as an account of recent inequalities for cardinal powers that were obtained in the wake of Silver's breakthrough result saying that the continuum hypothesis can not first fail at a singular cardinal of uncountable cofinality.
Download or read book Partition Function Form Games written by László Á. Kóczy and published by Springer. This book was released on 2018-04-13 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic overview on partition function form games: a game form in cooperative game theory to integrate externalities for various applications. Cooperative game theory has been immensely useful to study a wide range of issues, but the standard approaches ignore the side effects of cooperation. Recently interest shifted to problems where externalities play the main roles such as models of cooperation in market competition or the shared use of public resources. Such problems require richer models that can explicitly evaluate the side-effects of cooperation. In partition function form games the value of cooperation depends on the outsiders' actions. A recent surge of interest driven by applications has made results very fragmented. This book offers an accessible, yet comprehensive and systematic study of properties, solutions and applications of partition function games surveying both theoretical results and their applications. It assembles a survey of existing research and smaller original results as well as original interpretations and comparisons. The book is self-contained and accessible for readers with little or no knowledge of cooperative game theory.
Download or read book Memoir on the Theory of the Partitions of Numbers written by Percy Alexander Macmahon and published by . This book was released on 1899 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Partition Theory written by Ashok K. Agarwal and published by . This book was released on 2005 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The International Standard Bible Encyclopaedia written by James Orr and published by . This book was released on 1915 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Partition Functions for Supersymmetric Black Holes written by Jan Manschot and published by Amsterdam University Press. This book was released on 2008-12 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. This title can be previewed in Google Books - http://books.google.com/books?vid=ISBN9789056295400.
Download or read book Combinatory Analysis Symmetric functions Generalization of the theory of Section I Permutations Theory of the compositions of numbers Distributions upon a chess board to which is prefixed a chapter on perfect partitions The enumeration of the partitions of multipartite numbers written by Percy Alexander MacMahon and published by . This book was released on 1915 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Partition and Peace in Civil Wars written by Carter R. Johnson and published by Routledge. This book was released on 2021-08-09 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines whether partition is an effective means to resolve ethnic and sectarian civil wars. It argues that partition is unlikely to end ongoing ethnosectarian civil wars, but it can increase the likelihood of preventing civil war recurrence, as long as the partition separates civilians and militaries. The book presents in-depth case studies of Georgia–Abkhazia and Moldova–Transnistria, in addition to cross-national comparisons of all ethnosectarian civil wars between 1945 and 2004. This analysis demonstrates when partitioning a country can help transform an identity-based civil war into a lasting peace. Highlighting practical and moral challenges of separating ethnosectarian groups, the book contends that complete partitions cannot be easily implemented by the international community, and this limits their applicability. It also demonstrates that ethnosectarian civil wars are driven less by inter-group antagonisms and more by state breakdown, meaning displaced minorities can reintegrate peacefully after partition as long as a minimal level of state-building has been completed. The book ends by examining whether partition would be useful for five contemporary conflicts: Iraq, Ukraine–Donbass, Afghanistan, Sudan–South Sudan, and Serbia–Kosovo. This book will be of much interest to students of civil wars, ethnic conflict, peace and conflict studies, and international relations.
Download or read book A Theory for Industrial Gas liquid Chromatographic Columns written by Robert Henry Houston and published by . This book was released on 1958 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Number Theory written by Adolf Hurwitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the academic year 1916-1917 I had the good fortune to be a student of the great mathematician and distinguished teacher Adolf Hurwitz, and to attend his lectures on the Theory of Functions at the Polytechnic Institute of Zurich. After his death in 1919 there fell into my hands a set of notes on the Theory of numbers, which he had delivered at the Polytechnic Institute. This set of notes I revised and gave to Mrs. Ferentinou-Nicolacopoulou with a request that she read it and make relevant observations. This she did willingly and effectively. I now take advantage of these few lines to express to her my warmest thanks. Athens, November 1984 N. Kritikos About the Authors ADOLF HURWITZ was born in 1859 at Hildesheim, Germany, where he attended the Gymnasium. He studied Mathematics at the Munich Technical University and at the University of Berlin, where he took courses from Kummer, Weierstrass and Kronecker. Taking his Ph. D. under Felix Klein in Leipzig in 1880 with a thes i s on modul ar funct ions, he became Pri vatdozent at Gcitt i ngen in 1882 and became an extraordinary Professor at the University of Konigsberg, where he became acquainted with D. Hilbert and H. Minkowski, who remained lifelong friends. He was at Konigsberg until 1892 when he accepted Frobenius' chair at the Polytechnic Institute in Z~rich (E. T. H. ) where he remained the rest of his 1 i fe.
Download or read book Living Together After Ethnic Killing written by Roy Licklider and published by Routledge. This book was released on 2013-10-23 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume attempts to critically analyze Chaim Kaufman's ideas from various methodological perspectives, with the view of further understanding how stable states may arise after violent ethnic conflict and to generate important debate in the area. After the Cold War, the West became optimistic of their ability to intervene effectively in instances of humanitarian disasters and civil war. Unfortunately, in the light of Bosnia, Somalia and Rwanda, questions of the appropriate course of action in situations of large scale violence became hotly contested. A wave of analysis considered the traditional approach of third parties attempting to ensure that the nation was built on the basis of a ruling power-share between the opposing sides of the conflict to be overwhelmingly problematic, and perhaps impossible. Within this movement Kaufman wrote a series of articles advocating separation of warring sides in order to provide stability in situations of large scale violence. His theorem provoked extreme responses and polarized opinion, contradicting the established position of promoting power-sharing, democracy and open economies to solve ethnic conflict and had policy implications for the entire international community. This book was previously published as a special issue of Security Studies.
Download or read book Number Theory written by George E. Andrews and published by Courier Corporation. This book was released on 2012-04-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.
Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics
Download or read book Partition Problems in Topology written by Stevo Todorcevic and published by American Mathematical Soc.. This book was released on 1989 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents results on the case of the Ramsey problem for the uncountable: When does a partition of a square of an uncountable set have an uncountable homogeneous set? This problem most frequently appears in areas of general topology, measure theory, and functional analysis. Building on his solution of one of the two most basic partition problems in general topology, the ``S-space problem,'' the author has unified most of the existing results on the subject and made many improvements and simplifications. The first eight sections of the book require basic knowldege of naive set theory at the level of a first year graduate or advanced undergraduate student. The book may also be of interest to the exclusively set-theoretic reader, for it provides an excellent introduction to the subject of forcing axioms of set theory, such as Martin's axiom and the Proper forcing axiom.
Download or read book Partition Functions and Automorphic Forms written by Valery A. Gritsenko and published by Springer Nature. This book was released on 2020-07-09 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,...,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.
