## Introduction

*Rafal Goebel, Ricardo G. Sanfelice, and Andrew R. Teel*

### in Hybrid Dynamical Systems: Modeling, Stability, and Robustness

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691153896
- eISBN:
- 9781400842636
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153896.003.0001
- Subject:
- Mathematics, Applied Mathematics

This chapter presents the model of a hybrid system to be used in this volume. The focus is on the data structure and on modeling. The model suggests that the flow set, the flow map, the jump set, and ... More

## Proximal-to-Distal Sequencing Behavior and Motor Cortex

*Nicholas G. Hatsopoulos, Leonel Olmedo, and Kazutaka Takahashi*

### in Motor Control: Theories, Experiments, and Applications

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780195395273
- eISBN:
- 9780199863518
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195395273.003.0007
- Subject:
- Neuroscience, Sensory and Motor Systems

Proximal-to-distal sequencing of limb segments is characteristic of a number of motor behaviors, including throwing, hitting, jumping, and perhaps even reach-to-grasp. Moreover, shoulder- and ... More

## Chapter Three The Strayhorn Effect: A New Way of Writing for Jazz Orchestra

*Walter van de Leur*

### in Something to Live For: The Music of Billy Strayhorn

- Published in print:
- 2002
- Published Online:
- September 2008
- ISBN:
- 9780195124484
- eISBN:
- 9780199868711
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195124484.003.0003
- Subject:
- Music, History, Western

This chapter starts out with the 1941 broadcasting ban, which made Ellington record Strayhorn originals such as Take the “A” Train, Chelsea Bridge, and Rain Check. Analysis of these works displays ... More

## The Fiber Institute: 1920–1923

*William Taussig Scott and Martin X. Moleski*

### in Michael Polanyi: Scientist and Philosopher

- Published in print:
- 2005
- Published Online:
- July 2005
- ISBN:
- 9780195174335
- eISBN:
- 9780199835706
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/019517433X.003.0004
- Subject:
- Religion, Philosophy of Religion

Fritz Haber hired Polanyi to work in the Fiber Chemistry Group of the Kaiser Wilhelm Institute in Berlin. Polanyi helped develop the rotating-crystal method of X-ray crystallography, made solid ... More

## Some advanced computability theory

*André Nies*

### in Computability and Randomness

- Published in print:
- 2009
- Published Online:
- May 2009
- ISBN:
- 9780199230761
- eISBN:
- 9780191710988
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199230761.003.0006
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter develops the language of building Turing functionals which is used to characterize promptly simple degrees by low cuppability, and to prove the pseudo-jump inversion theorem of Jockusch ... More

## Classes of computational complexity

*André Nies*

### in Computability and Randomness

- Published in print:
- 2009
- Published Online:
- May 2009
- ISBN:
- 9780199230761
- eISBN:
- 9780191710988
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199230761.003.0008
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter studies lowness properties of sets not necessarily below the halting problem. The main new notions are all related to traceability. It characterizes lowness for Schnorr, and computable ... More

## Diffusion in solids

*Rolf Hempelmann*

### in Quasielastic Neutron Scattering and Solid State Diffusion

- Published in print:
- 2000
- Published Online:
- January 2010
- ISBN:
- 9780198517436
- eISBN:
- 9780191706974
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198517436.003.0004
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter starts with a brief history of the science of diffusion. Macroscopically diffusion is characterized by various diffusion coefficients: the self-diffusion coefficient, the tracer ... More

## Simple Brownian Diffusion: An Introduction to the Standard Theoretical Models

*Daniel Thomas Gillespie and Effrosyni Seitaridou*

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199664504
- eISBN:
- 9780191748516
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199664504.001.0001
- Subject:
- Physics, Soft Matter / Biological Physics

Brownian diffusion is the motion of one or more solute molecules in a sea of very many, much smaller solvent molecules. Its importance today owes mainly to cellular chemistry, since Brownian ... More

## PHASE FLUCTUATIONS IN A 2D SUPERCONDUCTING SYSTEM

*Anatoly Larkin and Andrei Varlamov*

### in Theory of Fluctuations in Superconductors

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198528159
- eISBN:
- 9780191713521
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528159.003.0015
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter examines the crucial role of phase fluctuations in two-dimensional (2D) systems. The exponential tail in Josephson current is found close to Tc. The physics of the ... More

## Stochastic Analysis and Diffusion Processes

*Gopinath Kallianpur and P Sundar*

- Published in print:
- 2014
- Published Online:
- April 2014
- ISBN:
- 9780199657063
- eISBN:
- 9780191781759
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199657063.001.0001
- Subject:
- Mathematics, Probability / Statistics, Applied Mathematics

Starting with the construction of stochastic processes, the book introduces Brownian motion and martingales. After proving the Doob-Meyer decomposition, quadratic variation processes and local ... More