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CrossType Transformations and the Path Consistency Condition, Music Theory Spectrum 29/1
, 2007
"... Two kinds of extensions to David Lewin's transformation theory are proposed. First, crosstype transformations transform one sort of object to another: for instance, mappings from triads to seventh chords. Special cases include GIS homomorphisms and interscalar transpositions and inversions. T ..."
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Cited by 3 (0 self)
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Two kinds of extensions to David Lewin's transformation theory are proposed. First, crosstype transformations transform one sort of object to another: for instance, mappings from triads to seventh chords. Special cases include GIS homomorphisms and interscalar transpositions and inversions
Structure as Process: Rereading Hauptmann’s Use of Dialectical Form.” Music Theory Spectrum 31, no. 2 (Fall 2009
"... Moritz Hauptmann's reliance on dialectical form as the mode of musictheoretical presentation in The Nature of Harmony and Meter remains strangely resistant to interpretation. The most influential reading of Hauptmann's work follows Riemann's assessment of it from the standpoint of h ..."
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Cited by 1 (0 self)
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and idiom, but also, through dialectical form, sets in motion a genetic mode of explanation and production of content that enables Hauptmann to present the theory of music as a perpetually nascent process.
Uniformity, balance, and smoothness in atonal voice leading. Music Theory Spectrum, 25(2):305–352, Autumn 2003
"... This paper offers a broadly applicable model for atonal voice leading, a model of pitchclass counterpoint to connect any two harmonies. Voice leadings are evaluated by three criteria: (1) uniformity: the extent to which the voices move by the same interval distance and thus approach traditional ..."
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Cited by 2 (0 self)
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This paper offers a broadly applicable model for atonal voice leading, a model of pitchclass counterpoint to connect any two harmonies. Voice leadings are evaluated by three criteria: (1) uniformity: the extent to which the voices move by the same interval distance and thus approach traditional transposition; (2) balance: the extent to which the voices move by the same index number and thus approach traditional inversion; and (3) smoothness: the extent to which the voices travel the shortest possible distance. The most uniform, most balanced, or smoothest way of moving from one set to another in pitchclass space, or from one set class to another in a proposed voiceleading space, provides a standpoint from which to assess any specific compositional realization in pitch space. I.
Domain Theory
 Handbook of Logic in Computer Science
, 1994
"... Least fixpoints as meanings of recursive definitions. ..."
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Cited by 546 (25 self)
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Least fixpoints as meanings of recursive definitions.
Algebraic Graph Theory
"... Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area is the investiga ..."
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Cited by 868 (12 self)
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is the investigation of the relation between properties of a graph and the spectrum of its adjacency matrix. A central topic and important source of tools is the theory of association schemes. An association scheme is, roughly speaking, a collection of graphs on a common vertex set which fit together in a highly
Spectrum Auctions
, 2001
"... Auctions have emerged as the primary means of assigning spectrum licenses to companies wishing to provide wireless communication services. Since July 1994, the Federal Communications Commission (FCC) has conducted 33 spectrum auctions, assigning thousands of licenses to hundreds of firms. Countries ..."
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Cited by 450 (20 self)
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Auctions have emerged as the primary means of assigning spectrum licenses to companies wishing to provide wireless communication services. Since July 1994, the Federal Communications Commission (FCC) has conducted 33 spectrum auctions, assigning thousands of licenses to hundreds of firms. Countries
Lightness and Retinex Theory
 JOURNAL OF THE OPTICAL SOCIETY OF AMERICA
, 1971
"... Sensations of color show a strong correlation with reflectance, even though the amount of visible light reaching the eye depends on the product of reflectance and illumination. The visual system must achieve this remarkable result by a scheme that does not measure flux. Such a scheme is described as ..."
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Cited by 495 (3 self)
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as the basis of retinex theory. This theory assumes that there are three independent cone systems, each starting with a set of receptors peaking, respectively, in the long, middle, and shortwavelength regions of the visible spectrum. Each system forms a separate image of the world in terms of lightness
String theory and noncommutative geometry
 JHEP
, 1999
"... We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from ..."
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Cited by 801 (8 self)
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We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 692 (18 self)
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The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary
Results 1  10
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649,546