## 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