## The Factorization Method for Inverse Problems

*Andreas Kirsch and Natalia Grinberg*

- Published in print:
- 2007
- Published Online:
- September 2008
- ISBN:
- 9780199213535
- eISBN:
- 9780191707629
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199213535.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book is devoted to problems of shape identification in the context of (inverse) scattering problems and problems of impedance tomography. In contrast to traditional methods which are based on ... More

## Numerical Methods for Image Registration

*Jan Modersitzki*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198528418
- eISBN:
- 9780191713583
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528418.001.0001
- Subject:
- Mathematics, Applied Mathematics

This text provides an introduction to the theoretical, practical, and numerical aspects of image registration, with special emphasis on medical imaging. Given a so-called reference and template ... More

## The Mean Duration of Cabinets

*Rein Taagepera*

### in Predicting Party Sizes: The Logic of Simple Electoral Systems

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780199287741
- eISBN:
- 9780191713408
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199287741.003.0010
- Subject:
- Political Science, Democratization

Again the quantity to watch is the ‘seat product’. The inverse square law of cabinet durations says that the mean cabinet duration in a country is approximately forty-two years divided by the square ... More

## The Fundamental Theorem of Linear Algebra

*Gidon Eshel*

### in Spatiotemporal Data Analysis

- Published in print:
- 2011
- Published Online:
- October 2017
- ISBN:
- 9780691128917
- eISBN:
- 9781400840632
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691128917.003.0010
- Subject:
- Environmental Science, Environmental Studies

This chapter summarizes pictorially some of the linear algebraic foundations discussed thus far by revisiting the fundamental theorem of linear algebra, the unifying view of matrices, vectors, and ... More

## MEG: An Introduction to Methods

*Peter Hansen, Morten Kringelbach, and Riitta Salmelin (eds)*

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780195307238
- eISBN:
- 9780199863990
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195307238.001.0001
- Subject:
- Neuroscience, Behavioral Neuroscience, Techniques

Magnetoencephalography (MEG) is an exciting brain imaging technology that allows real-time tracking of neural activity, making it an invaluable tool for advancing our understanding of brain function. ... More

## The MUSIC algorithm and scattering by an inhomogeneous medium

*Andreas Kirsch and Natalia Grinberg*

### in The Factorization Method for Inverse Problems

- Published in print:
- 2007
- Published Online:
- September 2008
- ISBN:
- 9780199213535
- eISBN:
- 9780191707629
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199213535.003.0004
- Subject:
- Mathematics, Applied Mathematics

This chapter examines the case of a penetrable scatterer with an index of refraction that can be space-dependent and is assumed to be different from the constant background index. The inverse ... More

## Alternative sampling and probe methods

*Andreas Kirsch and Natalia Grinberg*

### in The Factorization Method for Inverse Problems

- Published in print:
- 2007
- Published Online:
- September 2008
- ISBN:
- 9780199213535
- eISBN:
- 9780191707629
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199213535.003.0007
- Subject:
- Mathematics, Applied Mathematics

The Factorization Method is not the only sampling method. This final chapter introduces three alternative methods which belong to this class but, in contrast to the Factorization Method, are based on ... More

## Inverse Problems

*Peter Monk*

### in Finite Element Methods for Maxwell's Equations

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198508885
- eISBN:
- 9780191708633
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508885.003.0014
- Subject:
- Mathematics, Numerical Analysis

This final chapter introduces an inverse electromagnetic reconstruction problem of finding the shape of a scatterer from far field data. It focuses on the Linear Sampling Method that reduces the ... More

## INTRODUCTION

*Moody T. Chu and Gene H. Golub*

### in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566649
- eISBN:
- 9780191718021
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566649.003.0001
- Subject:
- Mathematics, Applied Mathematics

This chapter introduces the underlying difference between a forward problem and an inverse problem. Fundamental issues such as solvability, computability, sensitivity, and feasibility are raised. ... More

## APPLICATIONS

*Moody T. Chu and Gene H. Golub*

### in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566649
- eISBN:
- 9780191718021
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566649.003.0002
- Subject:
- Mathematics, Applied Mathematics

Inverse eigenvalue problems arise in a remarkable variety of applications. This chapter briefly highlights a few applications. The discussion is divided into six categories of applications: feedback ... More

## SPECTRALLY CONSTRAINED APPROXIMATION

*Moody T. Chu and Gene H. Golub*

### in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566649
- eISBN:
- 9780191718021
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566649.003.0007
- Subject:
- Mathematics, Applied Mathematics

This chapter shows that the problems of computing least squares approximations for various types of real and symmetric matrices subject to spectral constraints share a common structure. A general ... More

## INTRODUCTION

*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/9780198528418.003.0001
- Subject:
- Mathematics, Applied Mathematics

This chapter states the problem of image registration and presents various applications, including remote sensing and medical image registration. Three examples which serve as test cases throughout ... More

## Seeing in the cyclopean domain

*Ian P. Howard and Brian J. Rogers*

### in Seeing in Depth: Volume 1: Basic Mechanics/ Volume 2: Depth Perception 2-Volume Set

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780195367607
- eISBN:
- 9780199867264
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195367607.003.0017
- Subject:
- Psychology, Cognitive Neuroscience, Cognitive Psychology

Images in the two eyes may be superimposed or juxtaposed to produce a perceptual effect not evident when either image is presented alone. Any such effect is known as a cyclopean effect. This chapter ... More

## Voice and transitivity in Guaraní

*Maura Velázquez‐castillo*

### in The Typology of Semantic Alignment

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780199238385
- eISBN:
- 9780191716768
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199238385.003.0015
- Subject:
- Linguistics, Semantics and Pragmatics

This chapter shows that the closest equivalents to voice alternations in Guarani cut across the transitive divide and respond to spatial relations between events and event participants. The ... More

## Stevens' Power Law

*Donald Laming*

### in The Measurement of Sensation

- Published in print:
- 1997
- Published Online:
- January 2008
- ISBN:
- 9780198523420
- eISBN:
- 9780191712425
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198523420.003.0005
- Subject:
- Psychology, Cognitive Neuroscience

This chapter introduces Stevens' direct methods of magnitude estimation, magnitude production, and cross-modality matching. It summarizes Stevens' estimates of exponent values for twenty-four ... More

## The Voice Continuum

*William Croft*

### in Radical Construction Grammar: Syntactic Theory in Typological Perspective

- Published in print:
- 2001
- Published Online:
- September 2007
- ISBN:
- 9780198299554
- eISBN:
- 9780191708091
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198299554.003.0008
- Subject:
- Linguistics, Syntax and Morphology

Some constructions are claimed to be universal, including the passive and the inverse voice constructions. In fact, the syntactic properties used to define passive and inverse constructions, and ... More

## Statistical Models of Spike Trains

*Liam Paninski, Emery N. Brown, Satish Iyengar, and Robert E. Kass*

### in Stochastic Methods in Neuroscience

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199235070
- eISBN:
- 9780191715778
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199235070.003.0010
- Subject:
- Mathematics, Biostatistics

Spiking neurons make inviting targets for analytical methods based on stochastic processes: spike trains carry information in their temporal patterning, yet they are often highly irregular across ... More

## Optimal Commodity Taxation

*Chris Jones*

### in Applied Welfare Economics

- Published in print:
- 2005
- Published Online:
- July 2005
- ISBN:
- 9780199281978
- eISBN:
- 9780191602535
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199281971.003.0009
- Subject:
- Economics and Finance, Public and Welfare

Rules for setting Ramsey (1927) optimal commodity taxes are derived in this chapter using the conventional welfare analysis presented in Ch. 6. When these tax rules apply, Diamond and Mirrlees (1971) ... More

## Parliament and Congress: Representation and Scrutiny in the Twenty-First Century

*William McKay and Charles W. Johnson*

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199273621
- eISBN:
- 9780191594281
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199273621.001.0001
- Subject:
- Political Science, American Politics, UK Politics

The constitutional background of both legislatures and their procedures are described and where possible compared. Currently unsolved problems often have much in common, in vexed areas such as ethics ... More

## The Inequality–Growth Nexus in the Short and Long Run: Empirical Evidence from China *

*Guanghua Wan, Ming Lu, and Zhao Chen*

### in Inequality and Growth in Modern China

- Published in print:
- 2008
- Published Online:
- May 2008
- ISBN:
- 9780199535194
- eISBN:
- 9780191715730
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199535194.003.0001
- Subject:
- Economics and Finance, Development, Growth, and Environmental

This chapter argues that the conventional approach of data averaging is problematic for exploring the growth-inequality nexus. It introduces the polynominal inverse lag (PIL) framework so that the ... More