Integer Partitions

Integer Partitions PDF Author: George E. Andrews
Publisher: Cambridge University Press
ISBN: 9780521600903
Category : Mathematics
Languages : en
Pages : 156

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Book Description
Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.

Integer Partitions

Integer Partitions PDF Author: George E. Andrews
Publisher: Cambridge University Press
ISBN: 9780521600903
Category : Mathematics
Languages : en
Pages : 156

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Book Description
Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.

The Theory of Partitions

The Theory of Partitions PDF Author: George E. Andrews
Publisher: Cambridge University Press
ISBN: 9780521637664
Category : Mathematics
Languages : en
Pages : 274

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Book Description
Discusses mathematics related to partitions of numbers into sums of positive integers.

Memoir on the Theory of the Partitions of Numbers

Memoir on the Theory of the Partitions of Numbers PDF Author: Percy Alexander Macmahon
Publisher:
ISBN:
Category : Partitions (Mathematics)
Languages : en
Pages : 208

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Combinatorial Set Theory: Partition Relations for Cardinals

Combinatorial Set Theory: Partition Relations for Cardinals PDF Author: P. Erdös
Publisher: Elsevier
ISBN: 0444537457
Category : Mathematics
Languages : en
Pages : 349

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Book Description
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.

Partition Function Form Games

Partition Function Form Games PDF Author: László Á. Kóczy
Publisher: Springer
ISBN: 3319698419
Category : Mathematics
Languages : en
Pages : 312

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Book Description
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.

Partition Theory

Partition Theory PDF Author: Ashok K. Agarwal
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 328

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Partition and Peace in Civil Wars

Partition and Peace in Civil Wars PDF Author: Carter R. Johnson
Publisher: Routledge
ISBN: 1000414493
Category : Political Science
Languages : en
Pages : 139

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Book Description
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.

Partition Functions for Supersymmetric Black Holes

Partition Functions for Supersymmetric Black Holes PDF Author: Jan Manschot
Publisher: Amsterdam University Press
ISBN: 9056295403
Category : Science
Languages : en
Pages : 164

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Book Description
Annotation. This title can be previewed in Google Books - http://books.google.com/books?vid=ISBN9789056295400.

Lectures on Number Theory

Lectures on Number Theory PDF Author: Adolf Hurwitz
Publisher: Springer Science & Business Media
ISBN: 1461248884
Category : Mathematics
Languages : en
Pages : 287

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Book Description
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.

The International Standard Bible Encyclopaedia

The International Standard Bible Encyclopaedia PDF Author: James Orr
Publisher:
ISBN:
Category : Bible
Languages : en
Pages : 746

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Book Description