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Stopping Moderate Inflations: The Methods of Poincaré and Thatcher

Thomas J. Sargent

in Rational Expectations and Inflation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691158709
eISBN:
9781400847648
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691158709.003.0004
Subject:
Economics and Finance, Economic History

This chapter examines the methods adopted by British Prime Minister Margaret Thatcher and her French counterpart Raymond Poincaré to reduce the rate of inflation. Advocates of the two main groups of ... More


Rotation

Gary A. Glatzmaier

in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0013
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the effects of rotation on convection and gravity waves. Flows in the atmospheres, oceans, and liquid cores of terrestrial planets are dominated by the Coriolis forces, as are ... More


PERIODS OF EISENSTEIN AND POINCARÉ SERIES

Leon Ehrenpreis

in The Universality of the Radon Transform

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198509783
eISBN:
9780191709166
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509783.003.0010
Subject:
Mathematics, Mathematical Physics

This chapter shows how the book's main theory applies to computing the periods of Eisenstein and Poincaré series. Our Poincaré series are eigenfunctions of the Laplacian, and they arise naturally in ... More


THE SURGERY CLASSIFICATION OF MANIFOLDS

Andrew Ranicki

in Algebraic and Geometric Surgery

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509240
eISBN:
9780191708725
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509240.003.0001
Subject:
Mathematics, Geometry / Topology

This chapter provides an introduction to surgery theory, including the definition of manifold and Poincaré complex. It also discusses h- and s-cobordisms.


POINCARÉ DUALITY

Andrew Ranicki

in Algebraic and Geometric Surgery

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509240
eISBN:
9780191708725
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509240.003.0004
Subject:
Mathematics, Geometry / Topology

Poincaré duality is an isomorphism between the homology and cohomology of a manifold. The chapter introduces the basic duality and the universal Poincaré duality for non-simply-connected manifolds ... More


POINCARÉ COMPLEXES AND SPHERICAL FIBRATIONS

Andrew Ranicki

in Algebraic and Geometric Surgery

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509240
eISBN:
9780191708725
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509240.003.0009
Subject:
Mathematics, Geometry / Topology

A Poincaré complex is a space with Poincaré duality. Spherical fibrations are the homotopy theoretic analogues of vector bundles. The Spivak normal fibration is the homotopy theoretic analogue of the ... More


Scientific Representation: Paradoxes of Perspective

Bas C. van Fraassen

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199278220
eISBN:
9780191707926
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199278220.001.0001
Subject:
Philosophy, Philosophy of Mind, Philosophy of Science

Science represents natural phenomena by means of theories, as well as in many concrete ways by such means as pictures, graphs, table-top models, and computer simulations. This book begins with an ... More


The Case of SL(2); the Examples of Evans and Rudnick

Nicholas M. Katz

in Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153308
eISBN:
9781400842704
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153308.003.0015
Subject:
Mathematics, Number Theory

This chapter treats both of these examples, as well as all the examples to come, using the Euler–Poincaré formula, cf. [Ray, Thm. 1] or [Ka-GKM, 2.3.1] or [Ka-SE, 4.6, (v) atop p. 113] or [De-ST, ... More


The Problem of Coordination

Bas C. van Fraassen

in Scientific Representation: Paradoxes of Perspective

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199278220
eISBN:
9780191707926
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199278220.003.0006
Subject:
Philosophy, Philosophy of Mind, Philosophy of Science

The term ‘problem of coordination’ had appeared in Mach's writings on mechanics and thermodynamics; was salient in the discussion of the relation between mathematical and physical geometry that ... More


The Shape of Space II: Curved Space?

Nick Huggett

in Everywhere and Everywhen: Adventures in Physics and Philosophy

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195379518
eISBN:
9780199776559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195379518.003.0007
Subject:
Philosophy, Philosophy of Science

One can readily imagine a curved surface, but the very idea of a curved 3‐dimensional space may seem impossible; indeed, until ‘non‐Euclidean’ geometry was developed in the nineteenth century, such ... More


Looking for Geometry

Nick Huggett

in Everywhere and Everywhen: Adventures in Physics and Philosophy

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195379518
eISBN:
9780199776559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195379518.003.0008
Subject:
Philosophy, Philosophy of Science

One can readily imagine a curved surface, but the very idea of a curved 3‐dimensional space may seem impossible; indeed, until ‘non‐Euclidean’ geometry was developed in the nineteenth century, such ... More


Special Relativity

Yvonne Choquet-Bruhat

in General Relativity and the Einstein Equations

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.003.0002
Subject:
Mathematics, Applied Mathematics

This chapter begins with a discussion of Newton's mechanics. It then covers Maxwell's equations, Minkowski spacetime, Poincaré group, Lorentz group, special relativity, Newtonian law, relativistic ... More


Introduction: Rethinking Science and Religion

James D. Proctor

in Science, Religion, and the Human Experience

Published in print:
2005
Published Online:
February 2006
ISBN:
9780195175325
eISBN:
9780199784707
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195175328.003.0002
Subject:
Religion, Religion and Society

This essay offers a novel take on science and religion by reconsidering both in light of the human experience — the unfolding of human life in its historical, political, geographical, psychological, ... More


Between Nationalism and Corporatism: The Ruhr Conflict

Charles S. Maier

in Recasting Bourgeois Europe: Stabilization in France, Germany, and Italy in the Decade after World War I

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691169798
eISBN:
9781400873708
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691169798.003.0007
Subject:
History, American History: 20th Century

This chapter examines the impact of the Ruhr conflict on nationalism and corporatism in France and Germany. The Ruhr crisis suggested that the German and French recourse to nationalist policies ... More


Hyperbolic Dynamics and Brownian Motion: An Introduction

Jacques Franchi and Yves Le Jan

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199654109
eISBN:
9780191745676
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199654109.001.0001
Subject:
Mathematics, Mathematical Physics

The idea of this book is to illustrate an interplay between distinct domains of mathematics. Firstly, this book provides an introduction to hyperbolic geometry, based on the Lorentz group PSO(1, d) ... More


The Contradiction (iii): A Ramified Solution

David Bostock

in Russell's Logical Atomism

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199651443
eISBN:
9780191741197
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199651443.003.0005
Subject:
Philosophy, History of Philosophy, Metaphysics/Epistemology

Poincaré had recommended a ‘Vicious Circle Principle’, and Russell accepted this in his final ‘ramified’ theory of types. He claims both that this principle resolves a range of paradoxes (including ... More


The Vicious Circle Principle 1

Peter Hylton

in Propositions, Functions, and Analysis: Selected Essays on Russell's Philosophy

Published in print:
2005
Published Online:
May 2010
ISBN:
9780199286355
eISBN:
9780191713309
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199286355.003.0006
Subject:
Philosophy, History of Philosophy, Logic/Philosophy of Mathematics

The vicious-circle principle (VCP) is, according to Russell, a central and unifying idea in the type theory that is the basis of Principia Mathematica. Russell takes the principle from the work of ... More


Lie Groups and Lie Algebras: A Physicist's Perspective

Adam M. Bincer

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199662920
eISBN:
9780191745492
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199662920.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book is based on lectures given to graduate students in physics at the University of Wisconsin-Madison. Group theory has been around for many years and the only thing new in this book is my ... More


1921: “Critical or Empiricist Interpretation of the New Physics?”

Thomas Ryckman

in The Reign of Relativity: Philosophy in Physics 1915-1925

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195177176
eISBN:
9780199835324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195177177.003.0003
Subject:
Philosophy, Philosophy of Science

Mortiz Schlick’s article of this title was highly influential in convincing several generations of philosophers that GTR outrightly falsified any variety of Kantian epistemology. In fact, the ... More


Predicativity

Solomon Feferman

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print:
2005
Published Online:
July 2005
ISBN:
9780195148770
eISBN:
9780199835560
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195148770.003.0019
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter is a detailed study of predicativity in mathematics. It presents a number of historical versions predicativity requirements (Russell, Poincaré, Weyl), looking for unifying ideas. The ... More


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