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The Porous Medium Equation: Mathematical Theory

Juan Luis Vazquez

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198569039
eISBN:
9780191717468
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198569039.001.0001
Subject:
Mathematics, Mathematical Physics

The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it ... More


Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Moody Chu and Gene Golub

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.001.0001
Subject:
Mathematics, Applied Mathematics

The basic goal of an inverse eigenvalue problem is to reconstruct the physical parameters of a certain system from the knowledge or desire of its dynamical behavior. Depending on the application, ... More


ZUKUNFTSMUSIK

Rolf Niedermeier

in Invitation to Fixed-Parameter Algorithms

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198566076
eISBN:
9780191713910
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566076.003.0016
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter concludes the book, summarizes the ideas discussed, and puts forward a list of three central challenges for parameterized algorithm design.


Ecological Orbits: How Planets Move and Populations Grow

Lev Ginzburg and Mark Colyvan

Published in print:
2003
Published Online:
September 2007
ISBN:
9780195168167
eISBN:
9780199790159
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195168167.001.0001
Subject:
Biology, Ecology

The main focus of the book is the presentation of the inertial view of population growth. This view provides a rather simple model for complex population dynamics, and is achieved at the level of the ... More


Zeno's Arrow Paradox

Nick Huggett

in Everywhere and Everywhen: Adventures in Physics and Philosophy

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195379518
eISBN:
9780199776559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195379518.003.0003
Subject:
Philosophy, Philosophy of Science

This pair of chapters discuss Zeno's paradoxes and some of their modern descendants: the ‘dichotomy’, the ‘arrow’, and the ‘supertasks’ of Thompson's lamp and Bernadete. These paradoxes arise from ... More


Computational Methods for the Study of Dynamic Economies

Ramon Marimon and Andrew Scott (eds)

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199248278
eISBN:
9780191596605
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199248273.001.0001
Subject:
Economics and Finance, Macro- and Monetary Economics

Macroeconomics increasingly uses stochastic dynamic general equilibrium models to understand theoretical and policy issues. Unless very strong assumptions are made, understanding the properties of ... More


The Situated Self

J. T. Ismael

Published in print:
2007
Published Online:
January 2009
ISBN:
9780195174366
eISBN:
9780199872121
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195174366.001.0001
Subject:
Philosophy, Philosophy of Mind

Physics reveals a world composed of events arranged in a fixed configuration, like locations on a map. But where are we ourselves, the creatures who construct the map, to be found in the world it ... More


Mathematical Justifications are Not Infinitely Various

Neil Tennant

in Changes of Mind: An Essay on Rational Belief Revision

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199655755
eISBN:
9780191742125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199655755.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter gives a suitably texturized proof of a deep result in mathematical logic by Harvey Friedman, which was produced on request. It states that every extant mathematical theory (by virtue of ... More


A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics

John P. Burgess and Gideon Rosen

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250128
eISBN:
9780191597138
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198250126.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Numbers and other mathematical objects are exceptional in having no locations in space and time and no causes or effects in the physical world. This makes it difficult to account for the possibility ... More


Business Cycle Theory

Lutz G. Arnold

Published in print:
2002
Published Online:
October 2011
ISBN:
9780199256815
eISBN:
9780191698385
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199256815.001.0001
Subject:
Economics and Finance, Financial Economics

Business cycle theory is a broad and disparate field. Different schools of thought offer alternative explanations for cycles, often using different mathematical methods. This book aims to provide ... More


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