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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


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