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Contexts: Meaning, Truth, and the Use of Language

Stefano Predelli

Published in print:
2005
Published Online:
February 2006
ISBN:
9780199281732
eISBN:
9780191603204
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199281734.001.0001
Subject:
Philosophy, Philosophy of Language

This book discusses the views of meaning and truth implicit in the traditionalapproach to natural-language semantics. Its main thesis is that the philosophical presuppositions entailed by that ... More


PROBABILISTIC INGREDIENTS

Mathew Penrose

in Random Geometric Graphs

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506263
eISBN:
9780191707858
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506263.003.0002
Subject:
Mathematics, Probability / Statistics

This chapter derives some probabilistic results for later use. A dependency graph for a family of random variables is a deterministic graph with vertex-set identified with the random variables and ... More


APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS

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/9780198507840.003.0009
Subject:
Mathematics, Applied Mathematics

Various types of approximations of free-discontinuity energies, in particular the Mumford-Shah functional, are given: the Ambrosio-Tortorelli approximation via elliptic functionals with an additional ... More


Phase Transitions and Renormalization Group

Jean Zinn-Justin

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199227198
eISBN:
9780191711107
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227198.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book provides an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees of freedom. The existence of a continuum limit ... More


Theory of Nonequilibrium Superconductivity

Nikolai Kopnin

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198507888
eISBN:
9780191709722
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507888.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book presents modern theory of nonstationary and nonequilibrium superconductivity. It deals with superconductors in external fields varying in time and studies transport phenomena in ... More


Inference for Non-linear Population Parameters

Raymond L. Chambers and Robert G. Clark

in An Introduction to Model-Based Survey Sampling with Applications

Published in print:
2012
Published Online:
May 2012
ISBN:
9780198566625
eISBN:
9780191738449
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566625.003.0011
Subject:
Mathematics, Probability / Statistics

Inference for non-linear population parameters develops model-based prediction theory for target parameters that are not population totals or means. The development initially is for the case where ... More


LATTICE DYNAMICS

A.M. Stoneham

in Theory of Defects in Solids: Electronic Structure of Defects in Insulators and Semiconductors

Published in print:
2001
Published Online:
September 2007
ISBN:
9780198507802
eISBN:
9780191709920
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507802.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the key approximations in crystal lattice dynamics in a way that is particularly helpful for defect studies. It discusses the Born-Oppenheimer approximation, the adiabatic ... More


Transport equations for the one-body density

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0021
Subject:
Physics, Nuclear and Plasma Physics

This chapter begins by calculating the Wigner transform for the von Neumann equation for the one-body density operator. It shows how the Liouville equation follows in leading order in an expansion to ... More


Stochastic Population Processes: Analysis, Approximations, Simulations

Eric Renshaw

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199575312
eISBN:
9780191728778
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575312.001.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Biology

The vast majority of random processes in the real world have no memory — the next step in their development depends purely on their current state. Stochastic realizations are therefore defined purely ... More


Superconducting Alloys

Nikolai B. Kopnin

in Theory of Nonequilibrium Superconductivity

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198507888
eISBN:
9780191709722
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507888.003.04
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter explains how to incorporate scattering by random impurity atoms into the general Green function formalism of the theory of superconductivity. The cross-diagram technique based on the ... More


A Model of Rayleigh-Bénard Convection

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/9780691141725.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents a model of Rayleigh–Bénard convection. It first describes the fundamental dynamics expected in a fluid that is convectively stable and in one that is convectively unstable, ... More


Density Stratification

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/9780691141725.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the effects of large variations in density with depth, that is, density stratification. It first describes anelastic models for 2D cartesian box and 2D cylindrical annulus ... More


Momentum density studies in crystalline solids: theory

P. E. Mijnarends, Y. Kubo, B. Barbiellini, and A. Bansil

in X-Ray Compton Scattering

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198501688
eISBN:
9780191718045
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198501688.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter covers the calculation of the electron momentum density within the Local Density Approximation (LDA) and the Local Spin Density Approximation (LDSA). The KKR-CPA method is discussed ... More


Validity and Non-Validity of Propagation of Chaos

Karsten Matthies and Florian Theil

in Analysis and Stochastics of Growth Processes and Interface Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199239252
eISBN:
9780191716911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239252.003.0005
Subject:
Mathematics, Probability / Statistics, Analysis

In this chapter a novel, rigorous approach to analyse the validity of continuum approximations for deterministic interacting particle systems is discussed. The focus is on the Boltzmann–Grad limit of ... More


Interacting Brownian Motions and the Gross-Pitaevskii Formula

Stefan Adams and Wolfgang König

in Analysis and Stochastics of Growth Processes and Interface Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199239252
eISBN:
9780191716911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239252.003.0008
Subject:
Mathematics, Probability / Statistics, Analysis

Bose–Einstein condensation predicts that, under certain conditions (in particular extremely low temperature), all particles will condense into one state. Some of the physical background is surveyed ... More


General Relativity and Einstein's Equations

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/9780199230723.003.0003
Subject:
Mathematics, Applied Mathematics

This chapter begins with a discussion of Newton's gravity law. It then covers general relativity, observations and experiments, Einstein's equations, field sources, Lagrangians, fluid sources, ... More


X-ray interactions with matter

David M. Paganin

in Coherent X-Ray Optics

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198567288
eISBN:
9780191717963
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567288.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter considers the interactions of X-rays with matter. It opens by developing X-ray wave equations in the presence of scatterers, taking the Maxwell equations as a starting point. The ... More


The MUSIC algorithm and scattering by an inhomogeneous medium

Andreas Kirsch and Natalia Grinberg

in The Factorization Method for Inverse Problems

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter examines the case of a penetrable scatterer with an index of refraction that can be space-dependent and is assumed to be different from the constant background index. The inverse ... More


Theoretical statistics and asymptotics

Nancy Reid

in Celebrating Statistics: Papers in honour of Sir David Cox on his 80th birthday

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566540
eISBN:
9780191718038
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566540.003.0004
Subject:
Mathematics, Probability / Statistics

This chapter sets out some ideas for incorporating into the teaching of theoretical statistics the advances made in the modern theory of parametric likelihood inference developed since the ... More


MATHEMATICAL ANALYSIS OF ONE-FLUID PROBLEMS

Jean-Frédéric Gerbeau, Claude Le Bris, and Tony Lelièvre

in Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198566656
eISBN:
9780191718014
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566656.003.0002
Subject:
Mathematics, Mathematical Physics

This chapter focuses on the modelling of one-fluid magnetohydrodynamics problems. The crucial point under consideration is the coupling between hydrodynamics phenomena and electromagnetic phenomena. ... More


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