harmonic function

harmonic function
harmoninė funkcija statusas T sritis automatika atitikmenys: angl. harmonic function vok. harmonische Funktion, f rus. гармоническая функция, f pranc. fonction harmonique, f

Automatikos terminų žodynas. – Vilnius: Technika. . 2004.

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  • 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 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 function — harmoninė funkcija statusas T sritis fizika atitikmenys: angl. harmonic function vok. harmonische Funktion, f rus. гармоническая функция, f pranc. fonction harmonique, f …   Fizikos terminų žodynas

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

  • 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

  • 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 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 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 (mathematics) — In mathematics, a number of concepts employ the word harmonic. The similarity of this terminology to that of music is not accidental: the equations of motion of vibrating strings, drums and columns of air are given by formulas involving… …   Wikipedia

  • Harmonic — Har*mon ic (h[aum]r*m[o^]n [i^]k), Harmonical Har*mon ic*al ( [i^]*kal), a. [L. harmonicus, Gr. armoniko s; cf. F. harmonique. See {Harmony}.] 1. Concordant; musical; consonant; as, harmonic sounds. [1913 Webster] Harmonic twang! of leather, horn …   The Collaborative International Dictionary of English

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