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harmonic solution

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  • 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 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

  • 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 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 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 function — noun A function of two, three or n variables which is a solution to any of Laplaces equations …   Wiktionary

  • Quantum harmonic oscillator — The quantum harmonic oscillator is the quantum mechanical analogue of the classical harmonic oscillator. It is one of the most important model systems in quantum mechanics because an arbitrary potential can be approximated as a harmonic potential …   Wikipedia

  • Papkovich-Neuber solution — The Papkovich ndash;Neuber solution is a technique for generating analytic solutions to the Newtonian incompressible Stokes equations, though it was originally developed to solve the equations of linear elasticity.It can be shown that any Stokes… …   Wikipedia

  • Simple harmonic motion — is the motion of a simple harmonic oscillator, a motion that is neither driven nor damped. The motion is periodic, as it repeats itself at standard intervals in a specific manner described as being sinusoidal, with constant amplitude. It is… …   Wikipedia

  • Weakly harmonic function — In mathematics, a function f is weakly harmonic in a domain D if :int D f, Delta g = 0 for all g with compact support in D and continuous second derivatives, where Delta; is the Laplacian. This definition is weaker than the definition of harmonic …   Wikipedia

  • Dirichlet problem — In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region. The Dirichlet… …   Wikipedia

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