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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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