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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 ^{R}3, 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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