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Kelvin: Life, Labours and Legacy

Raymond Flood, Mark McCartney, and Andrew Whitaker (eds)

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199231256
eISBN:
9780191710803
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199231256.001.0001
Subject:
Mathematics, History of Mathematics

Lord Kelvin was one of the greatest physicists of the Victorian era. Widely known for the development of the Kelvin scale of temperature measurement, Kelvin's interests ranged across thermodynamics, ... More


The simplest cases: Dirichlet and Neumann boundary conditions

Andreas Kirsch and Natalia Grinberg

in The Factorization Method for Inverse Problems

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.003.0001
Subject:
Mathematics, Applied Mathematics

After a short derivation of the Helmholtz equation in acoustics this chapter formulates the direct scattering problem and presents results on uniqueness and existence without proofs (but gives ... More


The factorization method for other types of inverse obstacle scattering problems

Andreas Kirsch and Natalia Grinberg

in The Factorization Method for Inverse Problems

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.003.0002
Subject:
Mathematics, Applied Mathematics

This chapter studies some examples of inverse scattering problems in which the data operator fails to be normal. The impedance boundary condition, the reconstruction from limited-angle data, and the ... More


The mixed boundary value problem

Andreas Kirsch and Natalia Grinberg

in The Factorization Method for Inverse Problems

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.003.0003
Subject:
Mathematics, Applied Mathematics

For the mixed boundary value problem, the scattering domain D consists of several components with different types of boundary conditions. The chapter begins by reviewing results on uniqueness and ... More


The MUSIC algorithm and scattering by an inhomogeneous medium

Andreas Kirsch and Natalia Grinberg

in The Factorization Method for Inverse Problems

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter examines the case of a penetrable scatterer with an index of refraction that can be space-dependent and is assumed to be different from the constant background index. The inverse ... More


DIFFUSION EQUATION

George Em Karniadakis and Spencer J. Sherwin

in Spectral/hp Element Methods for Computational Fluid Dynamics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.003.0005
Subject:
Mathematics, Numerical Analysis

This chapter considers the diffusion equation: an implicit in time discretization leads to the Helmholtz equation. Both the temporal discretization and eigenspectra of second-order operators that ... More


Artificial likelihoods and estimating functions

Christopher G. Small and Jinfang Wang

in Numerical Methods for Nonlinear Estimating Equations

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506881
eISBN:
9780191709258
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506881.003.0006
Subject:
Mathematics, Probability / Statistics

This chapter discusses the problem of root selection using artificial objective functions associated with an estimating function; the artificial likelihoods discussed in this chapter share many ... More


Finite Elements Methods for the Cavity Problem

Peter Monk

in Finite Element Methods for Maxwell's Equations

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198508885
eISBN:
9780191708633
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508885.003.0007
Subject:
Mathematics, Numerical Analysis

This chapter concerns the use of edge finite element methods to approximate the cavity problem with mixed boundary data. It provides two proofs of convergence of the discrete solution. First under ... More


Time-harmonic fields

Mauro Fabrizio and Morro Angelo

in Electromagnetism of Continuous Media: Mathematical Modelling and Applications

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198527008
eISBN:
9780191713316
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527008.003.0003
Subject:
Mathematics, Applied Mathematics

This chapter reviews balance laws and relevant solutions to Maxwell’s equations in connection with the time-harmonic dependence. The wave equation becomes the Helmholtz equation and, for it, Green’s ... More


The Classic Period

Alan Gilchrist

in Seeing Black and White

Published in print:
2006
Published Online:
September 2007
ISBN:
9780195187168
eISBN:
9780199786725
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195187168.003.0002
Subject:
Psychology, Clinical Psychology

Prior to the 19th century one can find references to the problem of lightness and color constancy, but no sustained experimental program. Most notable in this regard are the insightful writings of ... More


American Pragmatism: A Religious Genealogy

M. Gail Hamner

Published in print:
2003
Published Online:
November 2003
ISBN:
9780195155471
eISBN:
9780199834266
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195155475.001.0001
Subject:
Religion, Philosophy of Religion

The development of pragmatism is the most important achievement in the history of American philosophy. M. Gail Hamner here examines the European roots of the movement in a search for what makes ... More


MUSIC PEDAGOGY, MUSICOLOGY,AND BRAHMS'S COLLECTION OF OCTAVES AND FIFTHS: HISTORICAL DECLINE, PERSONAL RENEWAL

Margaret Notley

in Lateness and Brahms: Music and Culture in the Twilight of Viennese Liberalism

Published in print:
2006
Published Online:
May 2008
ISBN:
9780195305470
eISBN:
9780199866946
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195305470.003.0005
Subject:
Music, History, Western

Brahms voiced his sense of lateness by deploring declining music-pedagogical traditions. In a project of lifelong self-improvement, he compiled examples from other composers' music that seem to ... More


Hermann von Helmholtz

M. Gail Hamner

in American Pragmatism: A Religious Genealogy

Published in print:
2003
Published Online:
November 2003
ISBN:
9780195155471
eISBN:
9780199834266
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195155475.003.0003
Subject:
Religion, Philosophy of Religion

This chapter and the next deals with the texts of two German thinkers who were widely read by Charles Sanders Peirce and William James – the German psychologists Hermann von Helmholtz and Wilhelm ... More


Wilhelm Wundt

M. Gail Hamner

in American Pragmatism: A Religious Genealogy

Published in print:
2003
Published Online:
November 2003
ISBN:
9780195155471
eISBN:
9780199834266
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195155475.003.0004
Subject:
Religion, Philosophy of Religion

This chapter (and the last) deals with the texts of two German thinkers who were widely read by Charles Sanders Peirce and William James – Hermann von Helmholtz and Wilhelm Wundt. They clarify the ... More


Charles Sanders Peirce

M. Gail Hamner

in American Pragmatism: A Religious Genealogy

Published in print:
2003
Published Online:
November 2003
ISBN:
9780195155471
eISBN:
9780199834266
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195155475.003.0007
Subject:
Religion, Philosophy of Religion

Charles Sanders Peirce was an American pragmatist whose notions of, and about community, inform not only his reformulation of ‘science’ and ontology but also the complex theory of continuity ... More


Hydrodynamic stability

Stefano Atzeni and JÜrgen Meyer-Ter-Vehn

in The Physics of Inertial Fusion: BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter

Published in print:
2004
Published Online:
January 2008
ISBN:
9780198562641
eISBN:
9780191714030
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198562641.003.0008
Subject:
Physics, Nuclear and Plasma Physics

This chapter is devoted to hydrodynamic instabilities. Internal confinement fusion (ICF) capsule implosions are inherently unstable. In particular, the Rayleigh-Taylor instability (RTI) developing at ... More


GEORGE ELIOT'S EAR: New Acoustics in Daniel Deronda and Beyond

John M. Picker

in Victorian Soundscapes

Published in print:
2003
Published Online:
September 2007
ISBN:
9780195151916
eISBN:
9780199787944
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195151916.003.0004
Subject:
Literature, 19th-century and Victorian Literature

This chapter argues that George Eliot recognized the advent of an age defined by new emphases on and understandings of the capacity for listening. This argument suggests that Victorian science — ... More


1921: “Critical or Empiricist Interpretation of the New Physics?”

Thomas Ryckman

in The Reign of Relativity: Philosophy in Physics 1915-1925

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195177176
eISBN:
9780199835324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195177177.003.0003
Subject:
Philosophy, Philosophy of Science

Mortiz Schlick’s article of this title was highly influential in convincing several generations of philosophers that GTR outrightly falsified any variety of Kantian epistemology. In fact, the ... More


Thermodynamics of ideal polarizable interfaces

Wolfgang Schmickler

in Interfacial Electrochemistry

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195089325
eISBN:
9780197560563
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195089325.003.0023
Subject:
Chemistry, Physical Chemistry

For liquid electrodes thermodynamics offers a precise way to determine the surface charge and the surface excesses of a species. This is one of the reasons ... More


Dynamics of Completion

Shirley Brice Heath

in The Artful Mind: Cognitive Science and the Riddle of Human Creativity

Published in print:
2006
Published Online:
October 2011
ISBN:
9780195306361
eISBN:
9780199851034
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195306361.003.0007
Subject:
Philosophy, Philosophy of Mind

This chapter explores how three basic cognitive capacities—categorization, cross-domain mapping, and the use of conceptual models—operate at the specific level of understanding music. This ... More


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