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harmonic integral

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  • harmonic — [här män′ik] adj. [L harmonicus < Gr harmonikos < harmonia, HARMONY] 1. harmonious in feeling or effect; agreeing 2. Math. designating or of a harmonic progression 3. Music a) of or pertaining to harmony rather than to melody or rhythm b) …   English World dictionary

  • Harmonic series (mathematics) — In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string s… …   Wikipedia

  • Harmonic number — The term harmonic number has multiple meanings. For other meanings, see harmonic number (disambiguation) .In mathematics, the n th harmonic number is the sum of the reciprocals of the first n natural numbers::H n=… …   Wikipedia

  • Harmonic function — In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U rarr; R (where U is an open subset of R n ) which satisfies Laplace s equation,… …   Wikipedia

  • Harmonic divisor number — This article is about harmonic divisor numbers. For meanings of harmonic number, see harmonic number (disambiguation). In mathematics, a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive… …   Wikipedia

  • Integral test for convergence — In mathematics, the integral test for convergence is a method used to test infinite series of non negative terms for convergence. An early form of the test of convergence was developed in India by Madhava in the 14th century, and by his followers …   Wikipedia

  • Harmonic conjugate — For geometric conjugate points, see Projective harmonic conjugates. In mathematics, a function defined on some open domain is said to have as a conjugate a function if and only if they are respectively real and imaginary part of a holomorphic… …   Wikipedia

  • Integral de Lebesgue — La integral de una función no negativa puede ser interpretada como el área bajo la curva. En matemática, la integración de una función no negativa (por considerar el caso más simple) puede considerarse como el área entre la gráfica de una curva y …   Wikipedia Español

  • harmonic function — ▪ mathematics       mathematical function of two variables having the property that its value at any point is equal to the average of its values along any circle around that point, provided the function is defined within the circle. An infinite… …   Universalium

  • 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

  • harmonic — I. adjective Date: 1570 1. musical 2. of or relating to musical harmony or a harmonic 3. pleasing to the ear ; harmonious 4. of an integrated nature ; congruous • harmonically adverb II …   New Collegiate Dictionary

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