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Evolution and the Levels of Selection

Samir Okasha

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199267972
eISBN:
9780191708275
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199267972.001.0001
Subject:
Philosophy, Philosophy of Science

Does natural selection act primarily on individual organisms, on groups, on genes, or on whole species? This book provides a comprehensive analysis of the long-standing controversy in evolutionary ... More


System Control and Rough Paths

Terry Lyons and Zhongmin Qian

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198506485
eISBN:
9780191709395
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506485.001.0001
Subject:
Mathematics, Probability / Statistics

Systems evolve and interact, and when they do this in a continuous way, differential equations can be used to provide accurate mathematical models for the interaction or reaction of the controlled ... More


Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Jean-Frédéric Gerbeau, Claude Le Bris, and Tony Lelièvre

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198566656
eISBN:
9780191718014
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566656.001.0001
Subject:
Mathematics, Mathematical Physics

This text focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis on the magnetohydrodynamics of liquid metals, on two-fluid flows, and ... More


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


Spectral/hp Element Methods for Computational Fluid Dynamics

George Karniadakis and Spencer Sherwin

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.001.0001
Subject:
Mathematics, Numerical Analysis

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more ... More


Flow-Through Respirometry: The Equations

John R. B. Lighton

in Measuring Metabolic Rates: A Manual for Scientists

Published in print:
2008
Published Online:
September 2008
ISBN:
9780195310610
eISBN:
9780199871414
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195310610.003.0009
Subject:
Biology, Animal Biology, Biotechnology

This chapter de-mystifies respirometry equations, showing how they can be derived using a simple mental trick: concentrating the analysis on the principal gas that is neither consumed nor produced by ... More


Numerical Methods for Structured Markov Chains

Dario A. Bini, Guy Latouche, and Beatrice Meini

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.001.0001
Subject:
Mathematics, Numerical Analysis

The book deals with the numerical solution of structured Markov chains which include M/G/1 and G/M/1-type Markov chains, QBD processes, non-skip-free queues, and tree-like stochastic processes and ... More


The Universality of the Radon Transform

Leon Ehrenpreis

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198509783
eISBN:
9780191709166
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509783.001.0001
Subject:
Mathematics, Mathematical Physics

Radon showed how to write arbitrary functions in Rn in terms of the characteristic functions (delta functions) of hyperplanes. This idea leads to various generalizations. For example, R can be ... More


The Greate Invention of Algebra: Thomas Harriot's Treatise on equations

Jacqueline A. Stedall

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198526025
eISBN:
9780191712364
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526025.001.0001
Subject:
Mathematics, History of Mathematics

This book casts new light on the work of Thomas Harriot (c.1560-1621), an innovative thinker and practitioner in several branches of the mathematical sciences, including navigation, astronomy, ... More


NON-PARAMETRIC IMAGE REGISTRATION

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0008
Subject:
Mathematics, Applied Mathematics

This chapter introduces non-parametric registrations. The idea behind this type of registration is to come up with an appropriate measure both for the similarity as well as for the likelihood of a ... More


Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

Juan Luis Vázquez

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199202973
eISBN:
9780191707919
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199202973.001.0001
Subject:
Mathematics, Applied Mathematics

This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as ... More


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


Wavelet Methods for Elliptic Partial Differential Equations

Karsten Urban

Published in print:
2008
Published Online:
May 2009
ISBN:
9780198526056
eISBN:
9780191712340
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526056.001.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Finance

Wavelets have become a powerful tool in several applications by now. Their use for the numerical solution of operator equations has been investigated more recently. By now the theoretical ... More


Chaotic Economic Dynamics

Richard M. Goodwin

Published in print:
1990
Published Online:
November 2003
ISBN:
9780198283355
eISBN:
9780191596315
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198283350.001.0001
Subject:
Economics and Finance, Macro- and Monetary Economics

This collection of short essays provides an application of chaotic dynamics to economic systems. Each chapter presents several economic models incorporating differential (or difference) equations ... More


Soma Model

W. Otto Friesen and Jonathon A. Friesen

in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195371833
eISBN:
9780199865178
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195371833.003.0010
Subject:
Psychology, Cognitive Neuroscience

The Soma model simulates the origin of the resting potential in nerve cells. Because this model demonstrates steady-state conditions, or slow changes in the steady state, the membrane capacitance is ... More


Equations Underlying the Electricity Model

W. Otto Friesen and Jonathon A. Friesen

in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195371833
eISBN:
9780199865178
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195371833.003.0016
Subject:
Psychology, Cognitive Neuroscience

This section provides a detailed description of the differential equations that underlie NeuroDynamix II simulations for the seven models. In addition, the rational behind some of these specific ... More


Equations Underlying the Soma Model

W. Otto Friesen and Jonathon A. Friesen

in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195371833
eISBN:
9780199865178
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195371833.003.0018
Subject:
Psychology, Cognitive Neuroscience

The Soma model illustrates the origins of the membrane potential based on the parallel conductance model, with the capacitor not included in the simulation. In addition, none of the membrane ... More


Form of the Equations

W. Otto Friesen and Jonathon A. Friesen

in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195371833
eISBN:
9780199865178
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195371833.003.0023
Subject:
Psychology, Cognitive Neuroscience

This section describes the methods for numerical integration of the differential equations that underlie all of the dynamic models embodied in NeuroDynamix II. This chapter presents the general form ... More


Numerical Solution

W. Otto Friesen and Jonathon A. Friesen

in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195371833
eISBN:
9780199865178
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195371833.003.0024
Subject:
Psychology, Cognitive Neuroscience

This chapter describes the method for numerical integration of the equations that underlie NeuroDynamix II models.


Electricity Model

W. Otto Friesen and Jonathon A. Friesen

in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195371833
eISBN:
9780199865178
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195371833.003.0008
Subject:
Psychology, Cognitive Neuroscience

Section II provides an overview of each of the seven models simulated by NeuroDynamix II. Beginning with a brief introduction, each subsection describes one model, includes a glossary of variable and ... More


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