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multiple harmonic function

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  • Multiple zeta function — For a different but related multiple zeta function, see Barnes zeta function. In mathematics, the multiple zeta functions generalisations of the Riemann zeta function, defined by and converge when Re(s1)+...+Re(si) > i for all i.… …   Wikipedia

  • Harmonic oscillator — This article is about the harmonic oscillator in classical mechanics. For its uses in quantum mechanics, see quantum harmonic oscillator. Classical mechanics …   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

  • Multiple comparisons — In statistics, the multiple comparisons or multiple testing problem occurs when one considers a set of statistical inferences simultaneously.[1] Errors in inference, including confidence intervals that fail to include their corresponding… …   Wikipedia

  • harmonic — harmonically, adv. harmonicalness, n. /hahr mon ik/, adj. 1. pertaining to harmony, as distinguished from melody and rhythm. 2. marked by harmony; in harmony; concordant; consonant. 3. Physics. of, pertaining to, or noting a series of… …   Universalium

  • Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …   Wikipedia

  • Maximal function — Maximal functions appear in many forms in harmonic analysis (an area of mathematics). One of the most important of these is the Hardy–Littlewood maximal function. They play an important role in understanding, for example, the differentiability… …   Wikipedia

  • Partition function (statistical mechanics) — For other uses, see Partition function (disambiguation). Partition function describe the statistical properties of a system in thermodynamic equilibrium. It is a function of temperature and other parameters, such as the volume enclosing a gas.… …   Wikipedia

  • Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… …   Wikipedia

  • Describing function — The Describing function (DF) method of Nikolay Mitrofanovich Krylov and Nikolay Bogolyubov is an approximate procedure for analyzing certain nonlinear control problems. It is based on quasi linearization, which is the approximation of the non… …   Wikipedia

  • Transfer function — A transfer function (also known as the system function[1] or network function) is a mathematical representation, in terms of spatial or temporal frequency, of the relation between the input and output of a linear time invariant system. With… …   Wikipedia

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