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harmonic measure

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  • Harmonic measure — In mathematics, harmonic measure is a concept that arises in the theory of harmonic functions, where it can be used to estimate the modulus of an analytic function inside a domain D given bounds on the modulus on the boundary of the domain. In a… …   Wikipedia

  • Harmonic series (music) — Harmonic series of a string. Pitched musical instruments are often based on an approximate harmonic oscillator such as a string or a column of air, which oscillates at numerous frequencies simultaneously. At these resonant frequencies, waves… …   Wikipedia

  • Harmonic map — A (smooth) map φ: M → N between Riemannian manifolds M and N is called harmonic if it is a critical point of the energy functional E (φ).This functional E will be defined precisely below mdash;one way of understanding it is to imagine that M is… …   Wikipedia

  • Harmonic rhythm — In music theory, harmonic rhythm, also known as harmonic tempo is the rate at which the chords change. According to Joseph Swain (2002 p.4) it is simply that perception of rhythm that depends on changes in aspects of harmony. According to Walter… …   Wikipedia

  • harmonic analysis — Math. 1. the calculation of Fourier series and their generalization. 2. the study of Fourier series and their generalization. Also called Fourier analysis. [1865 70] * * * ▪ mathematics       mathematical procedure for describing and analyzing… …   Universalium

  • measure — Synonyms and related words: A, Alexandrine, Spenserian stanza, Stabreim, a, accent, accent mark, accentuation, accommodate, accommodation, accomplished fact, accomplishment, accord, achievement, acreage, act, acta, action, ad hoc measure, adapt,… …   Moby Thesaurus

  • harmonic analyzer — noun An instrument used to measure the amplitudes, frequencies and phases of the components of a nonsinusoidal waveform; especially one used for analyzing audio frequencies …   Wiktionary

  • harmonic mean — noun A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie …   Wiktionary

  • Noncommutative harmonic analysis — In mathematics, noncommutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups which are not commutative. Since for locally compact abelian groups have a well understood theory, Pontryagin… …   Wikipedia

  • Secondary measure — In mathematics, the secondary measure associated with a measure of positive density ho when there is one, is a measure of positive density mu, turning the secondary polynomials associated with the orthogonal polynomials for ho into an orthogonal… …   Wikipedia

  • Haar measure — In mathematical analysis, the Haar measure is a way to assign an invariant volume to subsets of locally compact topological groups and subsequently define an integral for functions on those groups.This measure was introduced by Alfréd Haar, a… …   Wikipedia

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