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Random Geometric Graphs

Mathew Penrose

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506263
eISBN:
9780191707858
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506263.001.0001
Subject:
Mathematics, Probability / Statistics

This book sets out a body of rigorous mathematical theory for finite graphs with nodes placed randomly in Euclidean d-space according to a common probability density, and edges added to connect ... More


PRODUCTS AND RETRACTS

Pavol Hell and Jaroslav Nešetřil

in Graphs and Homomorphisms

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528173
eISBN:
9780191713644
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528173.003.0002
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter focuses on certain basic constructions that occur frequently in the rest of the book, emphasizing the product and the retract, but also considering other constructs. These include the ... More


MAXIMUM DEGREE, CLIQUES, AND COLOURINGS

Mathew Penrose

in Random Geometric Graphs

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506263
eISBN:
9780191707858
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506263.003.0006
Subject:
Mathematics, Probability / Statistics

This chapter is concerned with maximum degree, clique number, and chromatic number. A focusing (i.e., two-point concentration) phenomenon is demonstrated for the distribution of the maximum degree in ... More


ORBIT COUNTING AND THE TUTTE POLYNOMIAL

Peter J. Cameron

in Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198571278
eISBN:
9780191718885
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198571278.003.0001
Subject:
Mathematics, Probability / Statistics

This chapter summarizes the various attempts to extend the Tutte polynomial of a matroid to a polynomial which counts orbits of a group on various sets of objects that the usual Tutte polynomial ... More


Duke Bluebeard's Castle: Toward Character Reversal: Reassignment of Pentatonic and Whole‐Tone Spheres

Elliott Antokoletz

in Musical Symbolism in the Operas of Debussy and Bartok

Published in print:
2008
Published Online:
May 2008
ISBN:
9780195365825
eISBN:
9780199868865
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195365825.003.0010
Subject:
Music, Opera

This chapter looks at Doors II (Armoury), III (Treasure Chamber), and IV (Garden) and develops Judith's “Fate” motif and the leitmotif of Stefi Geyer, including the transformation between Judith's ... More


Accentuation in Practice

Clive Brown

in Classical and Romantic Performing Practice 1750-1900

Published in print:
1999
Published Online:
May 2008
ISBN:
9780198161653
eISBN:
9780191716263
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198161653.003.0003
Subject:
Music, Ethnomusicology, World Music

This chapter investigates the relationship between theory and practice in accentuation. It deals with the ways in which notation may imply accentuation where it is not explicitly indicated, for ... More


Chromatic Tonal Spacesm

Fred Lerdahl

in Tonal Pitch Space

Published in print:
2005
Published Online:
May 2008
ISBN:
9780195178296
eISBN:
9780199870370
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195178296.003.0006
Subject:
Music, Theory, Analysis, Composition

This chapter extends the diatonic model of Chapter 2 to chromatic spaces that are relevant to the music of the late 19th and early 20th centuries. First, the evolution of pitch space is demonstrated ... More


Op. 50 (1787)

Floyd Grave and Margaret Grave

in The String Quartets of Joseph Haydn

Published in print:
2006
Published Online:
May 2008
ISBN:
9780195173574
eISBN:
9780199872152
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195173574.003.0013
Subject:
Music, History, Western

Dedicated to Friedrich Wilhelm II and known as the “Prussian” quartets, these difficult works were clearly designed for connoisseurs. Their sale and early publication history involved complex, ... More


Op. 54/55 (1788)

Floyd Grave and Margaret Grave

in The String Quartets of Joseph Haydn

Published in print:
2006
Published Online:
May 2008
ISBN:
9780195173574
eISBN:
9780199872152
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195173574.003.0014
Subject:
Music, History, Western

Noted for timbral brilliance and an accent on taxing first-violin delivery, this set, Op. 54/55, is traditionally linked to the violinist Johann Tost, who served as a middleman in its sale. ... More


Piano Concerto

David Manning

in Vaughan Williams on Music

Published in print:
2007
Published Online:
October 2011
ISBN:
9780195182392
eISBN:
9780199851485
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195182392.003.0084
Subject:
Music, History, Western

The first two movements of the Piano Concerto were sketched in 1926, and the third movement in 1930. The work is dedicated to Miss Harriet Cohen. There are three movements: Toccata leading to Romanza ... More


Some ABCs of Graphs and Games

Jennifer Beineke and Lowell Beineke

in The Mathematics of Various Entertaining Subjects: Research in Recreational Math

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691164038
eISBN:
9781400881338
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691164038.003.0004
Subject:
Mathematics, History of Mathematics

This chapter explores some objects in which graphs have a role, some explicit, some not obvious. These graphical objects are presented as mathematical exhibits at a museum. The chapter starts with ... More


The Prehistory of Chinese Music Theory: Elsley Zeitlyn Lecture On Chinese Archaeology and Culture

Robert Bagley

in Proceedings of the British Academy, Volume 131, 2004 Lectures

Published in print:
2005
Published Online:
January 2012
ISBN:
9780197263518
eISBN:
9780191734021
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197263518.003.0002
Subject:
History, Cultural History

This lecture discusses the prehistory of Chinese music theory. The earliest texts about the music theory in China are the inscriptions of the musical instruments found inside the tomb of Marquis Yi ... More


Chromatic Assimilation: Evidence for a Neural Mechanism

Steven K. Shevell and Dingcai Cao

in Normal and Defective Colour Vision

Published in print:
2003
Published Online:
April 2010
ISBN:
9780198525301
eISBN:
9780191584947
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525301.003.0012
Subject:
Psychology, Cognitive Neuroscience

Chromatic induction refers to the shift in colour appearance caused by nearby light. Most research on chromatic induction has focused on colour contrast, which is a shift in appearance away from the ... More


What Birds See and What They Don’t: Luminance, Contrast, and Spatial and Temporal Resolution

William Hodos

in How Animals See the World: Comparative Behavior, Biology, and Evolution of Vision

Published in print:
2012
Published Online:
May 2012
ISBN:
9780195334654
eISBN:
9780199933167
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334654.003.0002
Subject:
Psychology, Cognitive Neuroscience, Cognitive Psychology

This chapter describes a psychophysical approach to studying the limits of the perceptual abilities of birds. Birds live in an extremely rich visual world that in many ways is similar to ours, but ... More


Audacious Euphony: Chromatic Harmony and the Triad's Second Nature

Richard Cohn

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199772698
eISBN:
9780199932238
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199772698.001.0001
Subject:
Music, Theory, Analysis, Composition

Many nineteenth-century theorists viewed triadic distance in terms of common tones and voice-leading proximity, rather than root consonance and mutual diatonic constituency. Audacious Euphony ... More


True Theories, False Colours

Austen Clark

in A Theory of Sentience

Published in print:
2000
Published Online:
October 2011
ISBN:
9780198238515
eISBN:
9780191679650
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198238515.003.0006
Subject:
Philosophy, Philosophy of Mind

This chapter begins with discussions of falsehood, chromatic atomism, chromatic states, and the false-colour model. It presents three conjectures: that qualitative identity is naught but a global ... More


Aesthetic Agency, Self-Determination, and the Spiritual Quest

INGRID MONSON

in Freedom Sounds: Civil Rights Call Out to Jazz and Africa

Published in print:
2007
Published Online:
January 2010
ISBN:
9780195128253
eISBN:
9780199864492
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195128253.003.0008
Subject:
Music, History, American

The commitment to an intellectual engagement with the materials of music, that is, to theorizing improvisation, seems to have been a central preoccupation of many of the key innovators in jazz. There ... More


HARMONIC PALETTE

LLOYD WHITESELL

in The Music of Joni Mitchell

Published in print:
2008
Published Online:
January 2010
ISBN:
9780195307993
eISBN:
9780199864003
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195307993.003.0005
Subject:
Music, Popular

This chapter turns to musical details, considering the extent of Mitchell's harmonic innovation. A representative survey demonstrates how her songs fall under five broad categories of harmonic ... More


Normal and Defective Colour Vision

John D. Mollon, Joel Pokorny, and Ken Knoblauch (eds)

Published in print:
2003
Published Online:
April 2010
ISBN:
9780198525301
eISBN:
9780191584947
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525301.001.0001
Subject:
Psychology, Cognitive Neuroscience

The topic of colour vision is one that integrates research from psychology, neuroscience, biology, ophthalmology, physics, and genetics. How do we make sense of colour in the world, and how has such ... More


Reaction Times to Stimuli in Isoluminant Colour Space

D. J. Mckeefry, N. R. A. Parry, and D I. J. Murray

in Normal and Defective Colour Vision

Published in print:
2003
Published Online:
April 2010
ISBN:
9780198525301
eISBN:
9780191584947
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525301.003.0013
Subject:
Psychology, Cognitive Neuroscience

Simple reaction times (RTs) are a useful measure of supra-threshold information processing. This chapter examines how the metric used to scale coloured stimuli influences the variation in RT with ... More


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