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The Theory of Infinite Soluble Groups

John C. Lennox and Derek J. S. Robinson

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198507284
eISBN:
9780191709326
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507284.001.0001
Subject:
Mathematics, Pure Mathematics

This book provides a comprehensive account of the theory of infinite soluble groups, from its foundations up to research level. Topics covered include: polycyclic groups, Cernikov groups, Mal’cev ... More


Bayes's Theorem

Richard Swinburne (ed.)

Published in print:
2005
Published Online:
January 2012
ISBN:
9780197263419
eISBN:
9780191734175
Item type:
book
Publisher:
British Academy
DOI:
10.5871/bacad/9780197263419.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Bayes' theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this book consider the worth and applicability of the theorem. The book sets out the philosophical ... More


Traces and Determinants of Pseudodifferential Operators

Simon Scott

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.001.0001
Subject:
Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More


Hilbert Modular Forms and Iwasawa Theory

Haruzo Hida

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198571025
eISBN:
9780191718946
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198571025.001.0001
Subject:
Mathematics, Algebra

The 1995 work by Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book ... More


Pascal' Triangle and Catalan Numbers

Thomas Koshy

in Catalan Numbers with Applications

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.003.0012
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter shows the various ways Catalan numbers can be extracted from Pascal's triangle. It includes discussion of nonisomorphic groups, Catalan polynomials, Touchard's recursive formula, and ... More


Interpolation and Definability: Modal and Intuitionistic Logics

Dov M. Gabbay and Larisa Maksimova

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198511748
eISBN:
9780191705779
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198511748.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book focuses on interpolation and definability. This notion is not only central in pure logic, but has significant meaning and applicability in all areas where logic itself is applied, ... More


The Structure of Models of Peano Arithmetic

Roman Kossak and James Schmerl

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568278
eISBN:
9780191718199
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568278.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book gives an account of the present state of research on lattices of elementary substructures and automorphisms of nonstandard models of arithmetic. Major representation theorems are proved, ... More


*AN INTRODUCTION TO THE LOCALIZATION METHOD OF Γ-CONVERGENCE

Andrea Braides

in Gamma-Convergence for Beginners

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198507840
eISBN:
9780191709890
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507840.003.0017
Subject:
Mathematics, Applied Mathematics

This chapter provides an introduction to the localization method of Gamma-convergence. It presents a brief account of the localization methods of Gamma-convergence that allows for the proof of ... More


An Introduction to Auction Theory

Flavio M. Menezes and Paulo K. Monteiro

Published in print:
2004
Published Online:
April 2005
ISBN:
9780199275984
eISBN:
9780191602214
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/019927598X.001.0001
Subject:
Economics and Finance, Microeconomics

This book presents an in-depth discussion of the auction theory. It introduces the concept of Bayesian Nash equilibrium and the idea of studying auctions as games. Private, common, and affiliated ... More


Likelihood-Based Inference in Cointegrated Vector Autoregressive Models

Søren Johansen

Published in print:
1995
Published Online:
November 2003
ISBN:
9780198774501
eISBN:
9780191596476
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198774508.001.0001
Subject:
Economics and Finance, Econometrics

This monograph is concerned with the statistical analysis of multivariate systems of non‐stationary time series of type I(1). It applies the concepts of cointegration and common trends in the ... More


Quantum Optics

John Garrison and Raymond Chiao

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198508861
eISBN:
9780191708640
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508861.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

Quantum optics is the field of physics describing the interaction of individual photons with matter, but in recent years it has expanded beyond pure physics to become an important driving force for ... More


The Metaphysics of Hyperspace

Hud Hudson

Published in print:
2005
Published Online:
January 2009
ISBN:
9780199282579
eISBN:
9780191712463
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199282579.001.0001
Subject:
Philosophy, Metaphysics/Epistemology

This collection of chapters on metaphysics and philosophy of religion is organized around the theme of hyperspace. The book contains critical discussions and evaluations of some non-theistic reasons ... More


Repeated Games and Reputations: Long-Run Relationships

George J. Mailath and Larry Samuelson

Published in print:
2006
Published Online:
January 2007
ISBN:
9780195300796
eISBN:
9780199783700
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300796.001.0001
Subject:
Economics and Finance, Behavioural Economics

This book begins with a careful development of fundamental concepts, including the notions of a repeated game, strategy, and equilibrium. It synthesizes and unifies the vast body of work in repeated ... More


Gödel’s incompleteness theorems, free will and mathematical thought

SOLOMON FEFERMAN

in Free Will and Modern Science

Published in print:
2011
Published Online:
January 2013
ISBN:
9780197264898
eISBN:
9780191754074
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264898.003.0007
Subject:
Philosophy, Philosophy of Mind

The determinism-free will debate is perhaps as old as philosophy itself and has been engaged in from a great variety of points of view including those of scientific, theological, and logical ... More


 The Folk Theorem with Perfect Monitoring

George J. Mailath and Larry Samuelson

in Repeated Games and Reputations: Long-Run Relationships

Published in print:
2006
Published Online:
January 2007
ISBN:
9780195300796
eISBN:
9780199783700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300796.003.0003
Subject:
Economics and Finance, Behavioural Economics

This chapter presents and proves the folk theorem for games of perfect monitoring. The chapter first proves the folk theorem for two players with public correlation and pure-action individual ... More


 Variations on the Game

George J. Mailath and Larry Samuelson

in Repeated Games and Reputations: Long-Run Relationships

Published in print:
2006
Published Online:
January 2007
ISBN:
9780195300796
eISBN:
9780199783700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300796.003.0005
Subject:
Economics and Finance, Behavioural Economics

This chapter explores variations on the standard repeated game: random matching games and repeated games played in the context of a market or society, multiple repeated games, repeated extensive form ... More


 The Basic Structure of Repeated Games with Imperfect Public Monitoring

George J. Mailath and Larry Samuelson

in Repeated Games and Reputations: Long-Run Relationships

Published in print:
2006
Published Online:
January 2007
ISBN:
9780195300796
eISBN:
9780199783700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300796.003.0007
Subject:
Economics and Finance, Behavioural Economics

This chapter provides the basic technical tools for working with games of imperfect public monitoring, with games of perfect monitoring as a special case. It introduces the central notions of a ... More


 The Folk Theorem with Imperfect Public Monitoring

George J. Mailath and Larry Samuelson

in Repeated Games and Reputations: Long-Run Relationships

Published in print:
2006
Published Online:
January 2007
ISBN:
9780195300796
eISBN:
9780199783700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300796.003.0009
Subject:
Economics and Finance, Behavioural Economics

This chapter shows that in many situations with patient players, the payoffs bounds from Chapter 8 are tight. It then proves various folk theorems for games of public monitoring, including games with ... More


 Almost Public Monitoring Games

George J. Mailath and Larry Samuelson

in Repeated Games and Reputations: Long-Run Relationships

Published in print:
2006
Published Online:
January 2007
ISBN:
9780195300796
eISBN:
9780199783700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300796.003.0013
Subject:
Economics and Finance, Behavioural Economics

This chapter provides a detailed treatment of work on games with almost-public monitoring. The chapter introduces the key distinction between strategies with bounded and unbounded recall, showing ... More


Globalization and All That

Abhijit Vinayak Banerjee

in Understanding Poverty

Published in print:
2006
Published Online:
September 2006
ISBN:
9780195305197
eISBN:
9780199783519
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195305191.003.0006
Subject:
Economics and Finance, Development, Growth, and Environmental

This essay begins with a discussion of the Samuelson-Stolper Theorem, which states that if a labor-abundant country is opened to trade with a labor-scarce country, laborers in the first country and ... More


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