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Mathematical Work of Nigel Hitchin

Sir Michael Atiyah

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/9780199534920.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter reviews selected topics covered in Nigel Hitchin's papers. These include his introduction of the spectral curve of a magnetic monopole, the introduction by Nigel of ‘Higgs bundles’ in ... More


Existence of Ball Quotients Covering Line Arrangements

Paula Tretkoff

in Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691144771
eISBN:
9781400881253
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691144771.003.0007
Subject:
Mathematics, Geometry / Topology

This chapter justifies the assumption that ball quotients covering line arrangements exist. It begins with the general case on the existence of finite covers by ball quotients of weighted ... More


Numerical algorithms

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/9780198506881.003.0003
Subject:
Mathematics, Probability / Statistics

This chapter surveys a variety of root-finding and hill-climbing algorithms that are useful for solving estimating equations or maximizing artificial likelihoods, starting with a basic technique ... More


Introduction

Paula Tretkoff

in Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691144771
eISBN:
9781400881253
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691144771.003.0001
Subject:
Mathematics, Geometry / Topology

This chapter explains that the book deals with quotients of the complex 2-ball yielding finite coverings of the projective plane branched along certain line arrangements. It gives a complete list of ... More


Respiration in aquatic ecosystems: history and background

Peter J. le B. Williams and Paul A. del Giorgio

in Respiration in Aquatic Ecosystems

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527084
eISBN:
9780191713347
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527084.003.0001
Subject:
Biology, Aquatic Biology

This introductory chapter presents a general historical, biochemical, and ecological background to the topics covered in this book, and sets the following chapters in a broad context. The various ... More


Line Arrangements in P2(C) and Their Finite Covers

Paula Tretkoff

in Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691144771
eISBN:
9781400881253
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691144771.003.0006
Subject:
Mathematics, Geometry / Topology

This chapter discusses the free 2-ball quotients arising as finite covers of the projective plane branched along line arrangements. It first considers a surface X obtained by blowing up the singular ... More


Metabolic and Hormonal Predictors of Obesity

Frank B. Hu

in Obesity Epidemiology

Published in print:
2008
Published Online:
September 2009
ISBN:
9780195312911
eISBN:
9780199865260
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195312911.003.0018
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

This chapter reviews epidemiologic studies on metabolic and hormonal predictors of obesity. It focuses primarily on prospective cohort studies, first discussing metabolic predictors, including ... More


Theories, Sites, Toposes: Relating and studying mathematical theories through topos-theoretic 'bridges'

Olivia Caramello

Published in print:
2017
Published Online:
March 2018
ISBN:
9780198758914
eISBN:
9780191818752
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198758914.001.0001
Subject:
Mathematics, Geometry / Topology, Pure Mathematics

This book is devoted to a general study of geometric theories from a topos-theoretic perspective. After recalling the necessary topos-theoretic preliminaries, it presents the main methodology it uses ... More


Lead and the Roots of Environmental Controversies

Moore Colleen F.

in Silent Scourge: Children, Pollution, and Why Scientists Disagree

Published in print:
2003
Published Online:
March 2012
ISBN:
9780195153910
eISBN:
9780199846986
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195153910.003.0002
Subject:
Psychology, Health Psychology

This chapter examines the negative effects of lead exposure on children's development. Several studies have confirmed that lead exposure lowers children's intellectual quotient (IQ) test scores and ... More


Our Genius Problem

Marjorie Garber

in Loaded Words

Published in print:
2012
Published Online:
September 2012
ISBN:
9780823242047
eISBN:
9780823242085
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823242047.003.0011
Subject:
Literature, Criticism/Theory

What is a genius? And why does our culture have such an obsession with the word and with the idea? Genius is fundamentally an eighteenth-century concept, though it has had a good long run through the ... More


Etiology of the Stability of Reading Performance from 7 to 12 Years of Age and Its Possible Mediation by IQ

Sally J. Wadsworth and John C. Defries

in Nature, Nurture, and the Transition to Early Adolescence

Published in print:
2003
Published Online:
March 2012
ISBN:
9780195157475
eISBN:
9780199848065
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195157475.003.0004
Subject:
Psychology, Developmental Psychology

In addition to common genetic factors on reading ability at different ages, other variables may mediate the stability of individual differences in ... More


Dissociations in cognitive memory: the syndrome of developmental amnesia

Faraneh Vargha-Khadem, David G. Gadian, and Mortimer Mishkin

in Episodic Memory: New Directions in Research

Published in print:
2002
Published Online:
March 2012
ISBN:
9780198508809
eISBN:
9780191687396
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508809.003.0009
Subject:
Psychology, Cognitive Psychology

This chapter reviews some recent studies in which additional information has been gathered concerning the syndrome of DA. It first describes two group studies that address the questions of whether ... More


Basic definitions

Simon Donaldson

in Riemann Surfaces

Published in print:
2011
Published Online:
December 2013
ISBN:
9780198526391
eISBN:
9780191774874
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526391.003.0003
Subject:
Mathematics, Geometry / Topology, Analysis

This chapter presents definitions of Riemann surfaces and holomorphic maps, and provides examples, including algebraic curves and quotients.


Maps between Riemann surfaces

Simon Donaldson

in Riemann Surfaces

Published in print:
2011
Published Online:
December 2013
ISBN:
9780198526391
eISBN:
9780191774874
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526391.003.0004
Subject:
Mathematics, Geometry / Topology, Analysis

This chapter first presents two simple lemmas from complex analysis which serve as the foundation for the chapter. It then examines monodromy and the Riemann Existence Theorem covering the monodromy ... More


Algebra of vector bundles

Clifford Henry Taubes

in Differential Geometry: Bundles, Connections, Metrics and Curvature

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199605880
eISBN:
9780191774911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199605880.003.0004
Subject:
Mathematics, Geometry / Topology, Mathematical Physics

Any linear operation that can be performed to generate a new vector space from a given set of initial vector spaces can be done fibre-wise with an analogous set of vector bundles to generate a new ... More


Abuses and Misuses of Intelligence Tests: Facts and Misconceptions

Mark Benisz, John O. Willis, and Ron Dumont

in Pseudoscience: The Conspiracy Against Science

Published in print:
2018
Published Online:
September 2018
ISBN:
9780262037426
eISBN:
9780262344814
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262037426.003.0016
Subject:
Psychology, Cognitive Psychology

Although the term IQ is widely used in popular culture, the true definition of intelligence and how it is measured is misunderstood. We provide an overview of how the construct of intelligence and ... More


Developing Performance Scales

Richardson John T. E.

in Howard Andrew Knox: Pioneer of Intelligence Testing at Ellis Island

Published in print:
2011
Published Online:
November 2015
ISBN:
9780231141680
eISBN:
9780231512114
Item type:
chapter
Publisher:
Columbia University Press
DOI:
10.7312/columbia/9780231141680.003.0010
Subject:
Psychology, Cognitive Psychology

This chapter focuses on subsequent attempts to develop performance scales, many of which incorporated tests originally developed by Howard Andrew Knox and his colleagues to estimate mental deficiency ... More


Information Content

Raymond L. Neubauer

in Evolution and the Emergent Self: The Rise of Complexity and Behavioral Versatility in Nature

Published in print:
2011
Published Online:
November 2015
ISBN:
9780231150705
eISBN:
9780231521680
Item type:
chapter
Publisher:
Columbia University Press
DOI:
10.7312/columbia/9780231150705.003.0003
Subject:
Biology, Evolutionary Biology / Genetics

This chapter describes information content in genes and brains in terms of information bits, and how such content increases in both systems over evolutionary time. Life gathers information in genes ... More


Thompson’s Group

Sean Cleary

in Office Hours with a Geometric Group Theorist

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691158662
eISBN:
9781400885398
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691158662.003.0016
Subject:
Mathematics, Geometry / Topology

This chapter considers the Thompson's group F. Thompson's group F exhibits several behaviors that appear paradoxical. For example: F is finitely presented and contains a copy of F x F, indicating ... More


Preliminary notions

Brian Conrad and Gopal Prasad

in Classification of Pseudo-reductive Groups (AM-191)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691167923
eISBN:
9781400874026
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691167923.003.0002
Subject:
Mathematics, Numerical Analysis

This chapter considers some preliminary notions, starting with standard pseudo-reductive groups, Levi subgroups, and root systems. It reviews the “standard construction” of pseudo-reductive k-groups ... More


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