## Parallel Scientific Computation: A Structured Approach using BSP and MPI

*Rob H. Bisseling*

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198529392
- eISBN:
- 9780191712869
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198529392.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book explains the use of the bulk synchronous parallel (BSP) model and the BSPlib communication library in parallel algorithm design and parallel programming. The main topics treated in the book ... More

## Multipole Theory in Electromagnetism: Classical, quantum, and symmetry aspects, with applications

*Roger E. Raab and Owen L. de Lange*

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198567271
- eISBN:
- 9780191717970
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567271.001.0001
- Subject:
- Physics, Atomic, Laser, and Optical Physics

The book opens with a chapter on the classical theory of multipoles in electromagnetism, in which static and dynamic multipole expansions of various physical quantities are derived, including of the ... More

## Crystals, X-rays and Proteins: Comprehensive Protein Crystallography

*Dennis Sherwood and Jon Cooper*

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199559046
- eISBN:
- 9780191595028
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199559046.001.0001
- Subject:
- Physics, Crystallography

This book presents a complete account of the theory of the diffraction of X-rays by crystals with particular reference to the processes of determining the structures of protein molecules. The book ... More

## THE NONLINEAR RADON AND FOURIER TRANSFORMS

*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/9780198509783.003.0005
- Subject:
- Mathematics, Mathematical Physics

In order to deal with the nonlinear Radon transform, this chapter introduces a new type of Fourier transform: the nonlinear Fourier transform. This can be used to analyze various nonlinear Radon ... More

## STRUCTURED MATRIX ANALYSIS

*D. A. Bini, G. Latouche, and B. Meini*

### in Numerical Methods for Structured Markov Chains

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198527688
- eISBN:
- 9780191713286
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198527688.003.0002
- Subject:
- Mathematics, Numerical Analysis

This chapter describes structural and computational properties which are the basis of the design and analysis of fast algorithms for the numerical solution of structured Markov chains. Toeplitz ... More

## Introduction to diffraction

*Peter Main*

### in Crystal Structure Analysis: Principles and Practice

- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780199219469
- eISBN:
- 9780191722516
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199219469.003.0001
- Subject:
- Physics, Crystallography

This introductory chapter provides information on some fundamental aspects of crystal structures and their diffraction of X-rays as a basis for the rest of the book. It describes electrons, atoms, ... More

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

*Nicholas M. Katz*

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691153308
- eISBN:
- 9781400842704
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153308.001.0001
- Subject:
- Mathematics, Number Theory

This book explores an important aspect of number theory—the theory of exponential sums over finite fields and their Mellin transforms—from a new, categorical point of view. The book presents ... More

## Postprocessing

*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/9780691141725.003.0005
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter explains how to write a postprocessing code, and more specifically how to study the nonlinear simulations using computer graphics and analysis. It first considers how to compute and ... More

## Crossing Paths

*Douglas A Hicks*

### in With God on All Sides: Leadership in a Devout and Diverse America

- Published in print:
- 2009
- Published Online:
- January 2009
- ISBN:
- 9780195337174
- eISBN:
- 9780199868407
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195337174.003.0006
- Subject:
- Religion, Religion and Society

The notion of convivencia, or cultures living alongside one another, arose from scholarship on religious diversity in medieval Spain. This concept can add to a vision of leadership in which diverse ... More

## Vowel Perception and Production

*B. S. Rosner and J. B. Pickering*

- Published in print:
- 1994
- Published Online:
- January 2008
- ISBN:
- 9780198521389
- eISBN:
- 9780191706622
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198521389.001.0001
- Subject:
- Psychology, Cognitive Neuroscience

Vowels are an important feature of the world's languages. Languages, however, differ in the number and the acoustic properties of their vowels. The two main problems of vowel perception needing ... More

## Quantum tomography

*J. C. Garrison and R. Y. Chiao*

### in Quantum Optics

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780198508861
- eISBN:
- 9780191708640
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508861.003.0018
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This chapter begins with a review of classical tomography, which reconstructs hidden structures inside an object by successive transmissions of an X-ray beam at different angles and lateral ... More

## HARMONIC FUNCTIONS AND RADON TRANSFORM ON ALGEBRAIC VARIETIES

*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/9780198509783.003.0004
- Subject:
- Mathematics, Mathematical Physics

This chapter looks at a variation of the “harmonic function” introduced by Chevalley. It deals with a noncompact version of the theory described in Chapter 3 (which deals with a compact version). One ... More

## RADON TRANSFORM ON GROUPS

*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/9780198509783.003.0007
- Subject:
- Mathematics, Mathematical Physics

This chapter applies the book's methods to various Lie groups. In particular, to the horocyclic and geodesic transforms on G/K.

## Orthogonal Procrustes problems

*J. C. Gower and G. B. Dijksterhuis*

### in Procrustes Problems

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198510581
- eISBN:
- 9780191708961
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198510581.003.0004
- Subject:
- Mathematics, Probability / Statistics

This chapter discusses the principal forms of T, specifically the case where T is an orthogonal matrix Q; then X1 and X2 must have the same number of columns P. ... More

## Γ-CONVERGENCE BY NUMBERS

*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/9780198507840.003.0002
- Subject:
- Mathematics, Applied Mathematics

This chapter introduces all the abstract notions and results on Gamma-convergence. Starting from upper and lower-semicontinuous functions, Gamma-convergence is defined and its differences from other ... More

## “The Spirit that Moves Inside You”: Puzzles of Using Volunteering to Cure the Volunteer’s Problems

*Nina Eliasoph*

### in Making Volunteers: Civic Life after Welfare's End

- Published in print:
- 2011
- Published Online:
- October 2017
- ISBN:
- 9780691147093
- eISBN:
- 9781400838820
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691147093.003.0003
- Subject:
- Sociology, Social Stratification, Inequality, and Mobility

This chapter explains how the empowerment talk suggests that volunteering is good because it is soul-changing, which leads organizers to embrace this mission. Fulfilling this mission of deeply ... More

## Introduction

*B. S. Rosner and J. B. Pickering*

### in Vowel Perception and Production

- Published in print:
- 1994
- Published Online:
- January 2008
- ISBN:
- 9780198521389
- eISBN:
- 9780191706622
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198521389.003.0001
- Subject:
- Psychology, Cognitive Neuroscience

Vowel categorization and vowel constancy are offered as the central topics of vowel perception. The source-filter theory of vowel production and the physical representation of vowels are introduced. ... More

## The Nahm Transform for Calorons

*Benoit Charbonneau and Jacques Hurtubise*

### in The Many Facets of Geometry: A Tribute to Nigel Hitchin

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199534920
- eISBN:
- 9780191716010
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199534920.003.0004
- Subject:
- Mathematics, Geometry / Topology

One mysterious feature of the self-duality equations on ℝ4 is the existence of a quite remarkable non-linear transform, the Nahm transform. It maps solutions to the self-duality equations on ℝ4 ... More

## Nahm's Equations and Free‐Boundary Problems

*Simon K. Donaldson*

### in The Many Facets of Geometry: A Tribute to Nigel Hitchin

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199534920
- eISBN:
- 9780191716010
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199534920.003.0005
- Subject:
- Mathematics, Geometry / Topology

In Donaldson (1984), following up work of Hitchin (1983), the author found it useful to express Nahm's equations, for a matrix group, in terms of the motion of a particle in a Riemannian symmetric ... More

## <i>G</i><sub>2</sub> Examples: Construction in Characteristic Two

*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/9780691153308.003.0027
- Subject:
- Mathematics, Number Theory

This chapter treats the case of characteristic two separately because it is somewhat simpler than the case of odd characteristic. Recall from the first paragraph of Chapter 25 that for k a finite ... More