## Nine Risk Regulation Regimes Compared

*Christopher Hood, Henry Rothstein, and Robert Baldwin*

### in The Government of Risk: Understanding Risk Regulation Regimes

- Published in print:
- 2001
- Published Online:
- November 2003
- ISBN:
- 9780199243631
- eISBN:
- 9780191599507
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199243638.003.0003
- Subject:
- Political Science, Comparative Politics

Uses the analytic framework developed in Ch. 2 to compare nine different risk regulation regimes, bringing out their similarities and differences. Those risks include attacks by dangerous dogs ... More

## Quantum tomography

*J. C. Garrison and R. Y. Chiao*

### in Quantum Optics

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780198508861
- eISBN:
- 9780191708640
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508861.003.0018
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This chapter begins with a review of classical tomography, which reconstructs hidden structures inside an object by successive transmissions of an X-ray beam at different angles and lateral ... More

## OPTIMAL EXISTENCE THEORY FOR NON-NEGATIVE SOLUTIONS

*Juan Luis Vázquez*

### in The Porous Medium Equation: Mathematical Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198569039
- eISBN:
- 9780191717468
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198569039.003.0013
- Subject:
- Mathematics, Mathematical Physics

This chapter studies the existence and uniqueness of solutions of the Cauchy problem for the PME posed in the whole space, which take a Radon measure as initial data. Section 13.1 constructs limit ... More

## Introduction

*Joram Lindenstrauss, David Preiss, and Tiˇser Jaroslav*

### in Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691153551
- eISBN:
- 9781400842698
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153551.003.0001
- Subject:
- Mathematics, Analysis

This book deals with the existence of Fréchet derivatives of Lipschitz functions from X to Y, where X is an Asplund space and Y has the Radon-Nikodým property (RNP). It considers whether every ... More

## Gâteaux differentiability of Lipschitz functions

*Joram Lindenstrauss, David Preiss, and Tiˇser Jaroslav*

### in Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691153551
- eISBN:
- 9781400842698
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153551.003.0002
- Subject:
- Mathematics, Analysis

This chapter presents the main results on Gâteaux differentiability of Lipschitz functions by recalling the notions of the Radon-Nikodým property (RNP) and null sets. The discussion focuses not only ... More

## Integration

*James Davidson*

### in Stochastic Limit Theory: An Introduction for Econometricians

- Published in print:
- 1994
- Published Online:
- November 2003
- ISBN:
- 9780198774037
- eISBN:
- 9780191596117
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198774036.003.0004
- Subject:
- Economics and Finance, Econometrics

The concept of an abstract integral is developed from first principles. Riemann‐Stieltjes and Lebesgue‐Stieltjes integrals are defined. The monotone convergence theorem, fundamental properties of ... More

## Three-Dimensional Reconstruction

*Joachim Frank*

### in Three-Dimensional Electron Microscopy of Macromolecular Assemblies: Visualization of Biological Molecules in Their Native State

- Published in print:
- 2006
- Published Online:
- April 2010
- ISBN:
- 9780195182187
- eISBN:
- 9780199893416
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195182187.003.0005
- Subject:
- Biology, Biochemistry / Molecular Biology

This chapter introduces mathematical principles underlying the relationship between a three-dimensional object and its projections, the projection theorem and Radon's theorem. The shape transform is ... More

## Cancer of the Lung, Larynx, and Pleura

*Paolo Boffetta and Dimitrios Trichopoulos*

### in Textbook of Cancer Epidemiology

- Published in print:
- 2008
- Published Online:
- September 2009
- ISBN:
- 9780195311174
- eISBN:
- 9780199865093
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195311174.003.0014
- Subject:
- Public Health and Epidemiology, Public Health, Epidemiology

Lung cancer was the most important epidemic of the 20th century, and it will likely remain a major public health problem in the 21st century also. Control of tobacco smoking is by far the most ... More

## Radon and You

*David Fisher*

### in Much Ado about (Practically) Nothing: A History of the Noble Gases

- Published in print:
- 2010
- Published Online:
- November 2020
- ISBN:
- 9780195393965
- eISBN:
- 9780197562796
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195393965.003.0024
- Subject:
- Chemistry, History of Chemistry

A review for one of my National Science Foundation grant proposals began “He isn’t the world’s greatest experimentalist, but …” I couldn’t argue with that. In fact, ... More

## Extremizers of a Radon Transform Inequality

*Michael Christ*

*Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, and Stephen Wainger (eds)*

### in Advances in Analysis: The Legacy of Elias M. Stein

- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691159416
- eISBN:
- 9781400848935
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691159416.003.0005
- Subject:
- Mathematics, Numerical Analysis

This chapter discusses the extremizers of a Radon transform inequality. The model for this analysis is Lieb's characterization of extremizers for the Hardy–Littlewood–Sobolev inequality for certain ... More

## Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms

*Alexandru D. Ionescu, Akos Magyar, and Stephen Wainger*

*Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, and Stephen Wainger (eds)*

### in Advances in Analysis: The Legacy of Elias M. Stein

- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691159416
- eISBN:
- 9781400848935
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691159416.003.0007
- Subject:
- Mathematics, Numerical Analysis

This chapter concentrates on the averages of functions along polynomial sequences in discrete nilpotent groups, illustrating the problems that arise from studying these averages. Though special ... More

## Borderlands

*Brian Baker*

### in Iain Sinclair

- Published in print:
- 2007
- Published Online:
- July 2012
- ISBN:
- 9780719069048
- eISBN:
- 9781781700891
- Item type:
- chapter

- Publisher:
- Manchester University Press
- DOI:
- 10.7228/manchester/9780719069048.003.0008
- Subject:
- Literature, 20th-century and Contemporary Literature

This chapter discusses Sinclair's three novels, namely Dining on Stones, Landor's Tower and Radon Daughters. It notes that these three novels share structural similarities, motifs that have to do ... More

## Invisible Dangers

*Michael Barkun*

### in Chasing Phantoms: Reality, Imagination, and Homeland Security Since 9/11

- Published in print:
- 2011
- Published Online:
- July 2014
- ISBN:
- 9780807834701
- eISBN:
- 9781469603230
- Item type:
- chapter

- Publisher:
- University of North Carolina Press
- DOI:
- 10.5149/9780807877692_barkun.5
- Subject:
- Political Science, American Politics

This book about invisible dangers begins with a definition of “invisibility.” The term is employed here in a broader sense than is customary, to refer not merely to what cannot be seen but to ... More

## Ionizing and Non-ionizing Radiation

*John Cardarelli*

### in Occupational and Environmental Health

- Published in print:
- 2017
- Published Online:
- November 2017
- ISBN:
- 9780190662677
- eISBN:
- 9780190662707
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190662677.003.0015
- Subject:
- Public Health and Epidemiology, Public Health

This chapter describes ionizing radiation and non-ionizing radiation, ways to measure it in the environment, describes the potential health effects from chronic and acute exposures as well as a ... More

## 20 Urbanization, Industrialization, and Mining

*Ed de Mulder and Chris Bremmer*

### in The Physical Geography of Western Europe

- Published in print:
- 2005
- Published Online:
- November 2020
- ISBN:
- 9780199277759
- eISBN:
- 9780191917639
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199277759.003.0031
- Subject:
- Earth Sciences and Geography, Physical Geography and Topography

Urbanization, industrialization, and mining are three different responses by mankind to survive, to develop, to create wealth and prosperity, and to organize life. Of the three, mining is the ... More

## The Pricing of Stock Options

*Lisa Borland*

### in Nonextensive Entropy: Interdisciplinary Applications

- Published in print:
- 2004
- Published Online:
- November 2020
- ISBN:
- 9780195159769
- eISBN:
- 9780197562024
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195159769.003.0022
- Subject:
- Earth Sciences and Geography, Atmospheric Sciences

We describe how a stock price model based on nonextensive statistics can be used to derive a generalized theory for pricing stock options. A review of theoretical and empirical results is ... More

## Functions of Real Variables

*Fon-Che Liu*

### in Real Analysis

- Published in print:
- 2016
- Published Online:
- January 2017
- ISBN:
- 9780198790426
- eISBN:
- 9780191831676
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198790426.003.0004
- Subject:
- Mathematics, Analysis

Functions of real variables are studied in terms of measure in this chapter; mostly the measure in question is the Lebesgue measure. The Lusin theorem, which characterizes Lebesgue measurable ... More

## Integration Theory

*Adel N. Boules*

### in Fundamentals of Mathematical Analysis

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198868781
- eISBN:
- 9780191905254
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198868781.003.0008
- Subject:
- Mathematics, Analysis, Applied Mathematics

The Lebesgue measure on ?n (presented in section 8.4) is a pivotal component of this chapter. The approach in the chapter is to extend the positive linear functional provided by the Riemann integral ... More

## Ionizing Radiation

*Amy Berrington de GonzÁlez, André Bouville, Preetha Rajaraman, and Mary Schubauer-Berigan*

### in Cancer Epidemiology and Prevention

- Published in print:
- 2017
- Published Online:
- December 2017
- ISBN:
- 9780190238667
- eISBN:
- 9780190238698
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190238667.003.0013
- Subject:
- Public Health and Epidemiology, Epidemiology, Public Health

Ionizing radiation is a universal carcinogen due to its ability to induce cancer in most organs following exposure at any age, including in utero. Several organs are especially radiosensitive, ... More

## Air Pollution

*Jonathan M. Samet and Aaron J. Cohen*

### in Cancer Epidemiology and Prevention

- Published in print:
- 2017
- Published Online:
- December 2017
- ISBN:
- 9780190238667
- eISBN:
- 9780190238698
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190238667.003.0017
- Subject:
- Public Health and Epidemiology, Epidemiology, Public Health

A wide variety of manmade and naturally occurring air pollutants are known to cause cancer. Diverse exposures such as tobacco smoke, radionuclides (radon), chemicals (benzene, mustard gas, and ... More