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The Devil in the Detail

Mary Orr

in Flaubert's Tentation: Remapping Nineteenth-Century French Histories of Religion and Science

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199258581
eISBN:
9780191718083
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199258581.003.0007
Subject:
Literature, World Literature, 19th-century and Victorian Literature

Devil's rides into space are a well‐worked topos in literature, but this chapter points out for the first time their literal realities in the Montgolfier balloons and Garnarin's parachute that ... More


Functions of a complex variable

Chun Wa Wong

in Introduction to Mathematical Physics: Methods & Concepts

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199641390
eISBN:
9780191747786
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641390.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Functions of a complex variable are shown to be more complete and rigid than functions of a real variable. Analytic functions with well defined derivatives satisfy two Cauch–Riemann conditions. ... More


Laser frequency stabilization and control systems

Warren Nagourney

in Quantum Electronics for Atomic Physics and Telecommunication: Second Edition

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199665488
eISBN:
9780191779442
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199665488.003.0012
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter discusses the techniques of frequency stabilization using negative feedback and a stable frequency reference, which is usually a passive optical cavity. It is assumed that the frequency ... More


Ordinary Differential Equations

Thomas A. Weber

in Optimal Control Theory with Applications in Economics

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015738
eISBN:
9780262298483
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015738.003.0002
Subject:
Mathematics, Probability / Statistics

This chapter reviews basic concepts in the theory of ordinary differential equation (ODEs). It first discusses how to analyze first-order ODEs. It then extends the framework for the analysis of ... More


Theory of Unimolecular Decomposition— The Statistical Approach

Tomas Baer and William L. Hase

in Unimolecular Reaction Dynamics: Theory and Experiments

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195074949
eISBN:
9780197560297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195074949.003.0008
Subject:
Chemistry, Theoretical Chemistry

The partition function and the sum or density of states are functions which are to statistical mechanics what the wave function is to quantum mechanics. Once they are known, all of the ... More


Mathematical Appendices

Abraham Bers

in Plasma Physics and Fusion Plasma Electrodynamics

Published in print:
2016
Published Online:
November 2016
ISBN:
9780199295784
eISBN:
9780191749063
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199295784.003.0033
Subject:
Physics, Nuclear and Plasma Physics, Particle Physics / Astrophysics / Cosmology

This concluding chapter addresses accounting for the remaining single-charged particle fields in a plasma, which are neglected in a fluid kinetic description: those associated with radiations and ... More


Holder Estimates for Euclidean Models

Charles L. Epstein and Rafe1 Mazzeo

in Degenerate Diffusion Operators Arising in Population Biology (AM-185)

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157122
eISBN:
9781400846108
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157122.003.0008
Subject:
Mathematics, Probability / Statistics

This chapter presents the Hölder space estimates for Euclidean model problems. It first considers the homogeneous Cauchy problem and the inhomogeneous problem before defining the resolvent operator ... More


The Resolvent Operator

Charles L. Epstein and Rafe1 Mazzeo

in Degenerate Diffusion Operators Arising in Population Biology (AM-185)

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157122
eISBN:
9781400846108
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157122.003.0011
Subject:
Mathematics, Probability / Statistics

This chapter describes the construction of a resolvent operator using the Laplace transform of a parametrix for the heat kernel and a perturbative argument. In the equation (μ‎-L) R(μ‎) f = f, R(μ‎) ... More


Ensembles in Classical Statistical Mechanics

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198853237
eISBN:
9780191887703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853237.003.0019
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter explores more powerful methods of calculation than were seen previously. Among them are Molecular Dynamics (MD) and Monte Carlo (MC) computer simulations. Another is the canonical ... More


An Introduction to Statistical Mechanics and Thermodynamics

Robert H. Swendsen

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198853237
eISBN:
9780191887703
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853237.001.0001
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This is a textbook on statistical mechanics and thermodynamics. It begins with the molecular nature of matter and the fact that we want to describe systems containing many (1020) particles. The first ... More


Holder Estimates for Higher Dimensional Corner Models

Charles L. Epstein and Rafe1 Mazzeo

in Degenerate Diffusion Operators Arising in Population Biology (AM-185)

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157122
eISBN:
9781400846108
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157122.003.0007
Subject:
Mathematics, Probability / Statistics

This chapter establishes Hölder space estimates for higher dimensional corner model problems. It first explains the homogeneous Cauchy problem before estimating the solution of the inhomogeneous ... More


Linear Cable Theory

Christof Koch

in Biophysics of Computation: Information Processing in Single Neurons

Published in print:
1998
Published Online:
November 2020
ISBN:
9780195104912
eISBN:
9780197562338
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195139853.003.0008
Subject:
Computer Science, Mathematical Theory of Computation

In the previous chapter, we briefly met some of the key actors of this book. In particular, we introduced the RC model of a patch of neuronal membrane and showed an instance where such a “trivial” ... More


The Dissociation of Small and Large Clusters

Tomas Baer and William L. Hase

in Unimolecular Reaction Dynamics: Theory and Experiments

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195074949
eISBN:
9780197560297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195074949.003.0012
Subject:
Chemistry, Theoretical Chemistry

Clusters are aggregates of loosely bonded molecules, in which each of the units retains the structure that it has as a free molecule. Because of the weak interactions among the molecules, clusters ... More


Applications and Extensions of Statistical Theories

Tomas Baer and William L. Hase

in Unimolecular Reaction Dynamics: Theory and Experiments

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195074949
eISBN:
9780197560297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195074949.003.0009
Subject:
Chemistry, Theoretical Chemistry

The RRKM rate constant as given by equation (6.73) in the previous chapter is expressed as a ratio of the sum of states in the transition state and the density of states in the reactant molecule. ... More


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