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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


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


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


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