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Traces and Determinants of Pseudodifferential Operators

Simon Scott

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.001.0001
Subject:
Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More


Likelihood-Based Inference in Cointegrated Vector Autoregressive Models

Søren Johansen

Published in print:
1995
Published Online:
November 2003
ISBN:
9780198774501
eISBN:
9780191596476
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198774508.001.0001
Subject:
Economics and Finance, Econometrics

This monograph is concerned with the statistical analysis of multivariate systems of non‐stationary time series of type I(1). It applies the concepts of cointegration and common trends in the ... More


Introduction

Jeremy D. Schmahmann and Deepak N. Pandya

in Fiber Pathways of the Brain

Published in print:
2006
Published Online:
May 2009
ISBN:
9780195104233
eISBN:
9780199864294
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195104233.003.0001
Subject:
Neuroscience, Techniques, Disorders of the Nervous System

This introductory chapter begins with a discussion of the lack of information on the fiber pathways that link the different components of the distributed neural system. It argues that understanding ... More


The Power Function of the Test for Cointegrating Rank Under Local Alternatives

Søren Johansen

in Likelihood-Based Inference in Cointegrated Vector Autoregressive Models

Published in print:
1995
Published Online:
November 2003
ISBN:
9780198774501
eISBN:
9780191596476
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774508.003.0014
Subject:
Economics and Finance, Econometrics

The local power of the trace test is given for local alternatives. The results use the formulation of local alternatives and near integrated processes as formulated by Phillips. The limit process is ... More


Traces

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0002
Subject:
Mathematics, Analysis

In this Chapter examples of trace structures are given along with some elements of trace theory in general. These facts and examples are called upon and, in the specific case of pseudodifferential ... More


Pseudodifferential Operator Trace Formulae

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0005
Subject:
Mathematics, Analysis

In this chapter details of the construction of the fundamental trace functionals on pseudodifferential operators are given. The approach to traces taken here is through an analysis of the singularity ... More


Computations, Transition Formulae, and the Local Index Formula

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0004
Subject:
Mathematics, Analysis

In this chapter the constructions of chapters 1 and 2 for are illustrated with explicit computations. The first part of the chapter presents various methods of computation commonly used in the ... More


Trace Metals and Infectious Diseases

Jerome O. Nriagu and Eric P. Skaar (eds)

Published in print:
2015
Published Online:
May 2016
ISBN:
9780262029193
eISBN:
9780262327619
Item type:
book
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262029193.001.0001
Subject:
Public Health and Epidemiology, Public Health

Many parts of the world endemic for the most common infectious diseases have the highest prevalence rates of trace metal deficiencies and increasing rates of trace metal pollution. The co-clustering ... More


The Nature of Memory Causation

Sven Bernecker

in Memory: A Philosophical Study

Published in print:
2009
Published Online:
May 2010
ISBN:
9780199577569
eISBN:
9780191722820
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577569.003.0006
Subject:
Philosophy, Philosophy of Mind, Metaphysics/Epistemology

This chapter examines the nature of memory causation. This involves identifying the vehicle of memory causation, specifying the strength of the causal relation constitutive of memory, and ruling out ... More


Emanation and Activity

Eyjólfur Kjalar Emilsson

in Plotinus on Intellect

Published in print:
2007
Published Online:
May 2007
ISBN:
9780199281701
eISBN:
9780191713088
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199281701.003.0002
Subject:
Philosophy, Ancient Philosophy

This chapter deals with the kindred notions of double activity, emanation, and image. It is argued that the notion of double activity is central to all of Plotinus’ thought. It is argued that the ... More


Introduction

Oisín Tansey

in Regime-Building: Democratization and International Administration

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199561032
eISBN:
9780191721496
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199561032.003.0001
Subject:
Political Science, Comparative Politics, Democratization

This introductory chapter sets out the theoretical and empirical context for the book and outlines the overall argument. It situates the book within two literatures — those relating to statebuilding ... More


RADON TRANSFORM AS THE INTERRELATION OF GEOMETRY AND ANALYSIS

Leon Ehrenpreis

in The Universality of the Radon Transform

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198509783
eISBN:
9780191709166
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509783.003.0008
Subject:
Mathematics, Mathematical Physics

This chapter deals with various questions which are related to the Radon transform, for example, the analog for forms, Selberg's trace formula. It gives a sharpening of the classical Euler-Maclaurin ... More


THE SURGERY CLASSIFICATION OF MANIFOLDS

Andrew Ranicki

in Algebraic and Geometric Surgery

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509240
eISBN:
9780191708725
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509240.003.0001
Subject:
Mathematics, Geometry / Topology

This chapter provides an introduction to surgery theory, including the definition of manifold and Poincaré complex. It also discusses h- and s-cobordisms.


Within-Case versus Cross-Case Causal Analysis

Gary Goertz and James Mahoney

in A Tale of Two Cultures: Qualitative and Quantitative Research in the Social Sciences

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149707
eISBN:
9781400845446
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149707.003.0007
Subject:
Sociology, Social Research and Statistics

This chapter examines how the qualitative and quantitative research traditions treat within-case analysis versus cross-case analysis for causal inference. In qualitative research, the primary focus ... More


Causal Mechanisms and Process Tracing

Gary Goertz and James Mahoney

in A Tale of Two Cultures: Qualitative and Quantitative Research in the Social Sciences

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149707
eISBN:
9781400845446
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149707.003.0008
Subject:
Sociology, Social Research and Statistics

This chapter examines how the qualitative and quantitative research traditions empirically assess theories about mechanisms when making causal inferences. In the qualitative paradigm, researchers ... More


Value, Property, and Unjust Enrichment: Trusts of Traceable Proceeds

James Penner

in Philosophical Foundations of the Law of Unjust Enrichment

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199567751
eISBN:
9780191705267
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199567751.003.0011
Subject:
Law, Law of Obligations, Philosophy of Law

This chapter begins with an analysis of the concept of value, and claims that it is incoherent to say that to own property is to own the value of it, for value is realised by the actions of the ... More


PF Feature Checking

Peter Ackema and Ad Neeleman

in Beyond Morphology: Interface Conditions on Word Formation

Published in print:
2004
Published Online:
September 2007
ISBN:
9780199267286
eISBN:
9780191708312
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199267286.003.0007
Subject:
Linguistics, Syntax and Morphology

This chapter extends the approach of Chapter 6 to the operation of feature checking. Some forms of agreement seem to be sensitive to whether or not the controller is right-adjacent to the target, a ... More


Extrapolation, Capacities, and Mechanisms

Daniel P. Steel

in Across the Boundaries: Extrapolation in Biology and Social Science

Published in print:
2007
Published Online:
January 2008
ISBN:
9780195331448
eISBN:
9780199868063
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195331448.003.0005
Subject:
Philosophy, Philosophy of Science

This chapter argues that previous accounts of extrapolation, either by reference to capacities or mechanisms, do not adequately address the challenges confronting extrapolation. It then begins the ... More


Social Mechanisms and Process Tracing

Daniel P. Steel

in Across the Boundaries: Extrapolation in Biology and Social Science

Published in print:
2007
Published Online:
January 2008
ISBN:
9780195331448
eISBN:
9780199868063
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195331448.003.0009
Subject:
Philosophy, Philosophy of Science

This chapter examines how mechanisms can be discovered in the social sciences. Process tracing is sometimes put forward as a procedure for discovering mechanisms and contrasted with inferring causal ... More


Thinking about the Sun II: Thinking-about versus Knowing-which

Joseph Almog

in Cogito?: Descartes and Thinking the World

Published in print:
2008
Published Online:
May 2008
ISBN:
9780195337716
eISBN:
9780199868704
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195337716.003.0003
Subject:
Philosophy, General

This chapter continues the discussion on thinking about the sun. It examines Descartes' principle (D): “No being for a thing in my mind without a causal process inculcating information from it into ... More


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