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Measures of EEG Dynamic Properties

Paul L. Nunez and Ramesh Srinivasan

in Electric Fields of the Brain: The neurophysics of EEG

Published in print:
2006
Published Online:
May 2009
ISBN:
9780195050387
eISBN:
9780199865673
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195050387.003.0009
Subject:
Neuroscience, Neuroendocrine and Autonomic, Techniques

This chapter suggests a general working framework for experimental study of large-scale dynamics of EEG, including interpretation of data recorded at different spatial and temporal scales. It views ... More


Rotating Stars and Revolving Planets: Bayesian Exploration of the Pulsating Sky *

Thomas J. Loredo

in Bayesian Statistics 9

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199694587
eISBN:
9780191731921
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199694587.003.0012
Subject:
Mathematics, Probability / Statistics

I describe ongoing work on the development of Bayesian methods for exploring periodically varying phenomena in astronomy, addressing two classes of sources: pulsars, and extrasolar planets ... More


Function Spaces and Partial Differential Equations: Volume 1 - Classical Analysis

Ali Taheri

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198733133
eISBN:
9780191797712
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198733133.001.0001
Subject:
Mathematics, Analysis

This book, which is the first volume of two, presents a comprehensive treatment of aspects of classical and modern analysis relating to theory of ‘partial differential equations’ and the associated ... More


Function Spaces and Partial Differential Equations: Volume 2: Contemporary Analysis

Ali Taheri

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198733157
eISBN:
9780191797729
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198733157.001.0001
Subject:
Mathematics, Analysis

This book presents a comprehensive treatment of aspects of classical and modern analysis relating to theory of ‘partial differential equations’ and the associated ‘function spaces’. It begins with a ... More


Toward an Analysis of the Music of Prokofiev’s Middle Period

Konrad Harley

in Rethinking Prokofiev

Published in print:
2020
Published Online:
March 2020
ISBN:
9780190670764
eISBN:
9780190670801
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190670764.003.0020
Subject:
Music, History, Western

Prokofiev’s music is so individual that it is not uncommon for analysts to come up with new terms and concepts to describe it. Many of his devices have their origin in eighteenth- and ... More


Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra Detlef Müller

Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, 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/9780691159416.003.0013
Subject:
Mathematics, Numerical Analysis

This chapter presents three sets of problems and explains how these questions can be answered in an (almost) complete way in terms of Newton polyhedra associated to the given surface S (here, a ... More


Pedagogy of Fundamentals and Diatonic Harmony

Jennifer Snodgrass

in Teaching Music Theory

Published in print:
2020
Published Online:
June 2020
ISBN:
9780190879945
eISBN:
9780197510575
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190879945.003.0005
Subject:
Music, Theory, Analysis, Composition

The earliest levels of the undergraduate music theory core might be some of the more challenging courses to teach. Because students enter the undergraduate theory core with a variety of backgrounds, ... More


Square Functions and Maximal Operators Associated with Radial Fourier Multipliers

Sanghyuk Lee, Keith M. Rogers, and Andreas Seeger

Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, 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/9780691159416.003.0012
Subject:
Mathematics, Numerical Analysis

This chapter begins with an overview on square functions for spherical and Bochner–Riesz means which were introduced by Eli Stein, and discusses their implications for radial multipliers and ... More


Mathematical Models and Quantitative Methods

David R. Legates, Sucharita Gopal, and Peter Rogerson

in Geography in America at the Dawn of the 21st Century

Published in print:
2004
Published Online:
November 2020
ISBN:
9780198233923
eISBN:
9780191917707
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198233923.003.0039
Subject:
Earth Sciences and Geography, Regional Geography

Although the use of mathematical models and quantitative methods in geography accelerated in earnest with the development of quantitative geography and regional science in the late 1950s, such ... More


On Oscillatory Integral Operators in Higher Dimensions

Jean Bourgain

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/9780691159416.003.0003
Subject:
Mathematics, Numerical Analysis

This chapter discusses the progress made towards problems originating from Stein's seminal paper, “Some problems in harmonic analysis.” It is by now well-known that the mapping properties of Fourier ... More


Threshold Phenomena and Influence: Perspectives from Mathematics, Computer Science, and Economics

Gil Kalai and Shmuel Safra

in Computational Complexity and Statistical Physics

Published in print:
2005
Published Online:
November 2020
ISBN:
9780195177374
eISBN:
9780197562260
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195177374.003.0008
Subject:
Computer Science, Mathematical Theory of Computation

Threshold phenomena refer to settings in which the probability for an event to occur changes rapidly as some underlying parameter varies. Threshold phenomena play an important role in probability ... More


Introduction To Stochastic Processes

Abraham Nitzan

in Chemical Dynamics in Condensed Phases: Relaxation, Transfer and Reactions in Condensed Molecular Systems

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198529798
eISBN:
9780191916649
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198529798.003.0013
Subject:
Chemistry, Physical Chemistry

As discussed in Section 1.5, the characterization of observables as random variables is ubiquitous in descriptions of physical phenomena. This is not immediately obvious in view of the fact that ... More


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