harmonic function


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harmonic function

[här′män·ik ′fəŋk·shən]
(mathematics)
A function of two real variables which is a solution of Laplace's equation in two variables.
A function of three real variables which is a solution of Laplace's equation in three variables.
References in periodicals archive ?
Let's first recall the Removable Singularity Theorem for a harmonic function (cf.
A constant velocity and a harmonic function are also used to define the follower motion law.
Gunn exhaustively explores each possible affekt and how it is connected to and influenced by formal structure, harmonic function, key, technique, rhythm, dynamics, expression marks, articulation, ornaments, the damper pedal and tempo.
2] gives a harmonic function of [zeta] [member of] [P.
h] be the corresponding discrete harmonic function defined by its values at the CR nodal points of [[GAMMA].
He notes three specific aspects of that influence, " Tonverstellung," applied dominants, and harmonic function, and he discusses at length the role of Johannes Schreyer and the function theory in pedagogical reforms, and the role of Rudolf Louis as the culmination of the function theory.
Each term in the series is a harmonic function of x and vanishes on [partial derivative]H.
Its harmonic function offers a fast way to set up a complex arbitrary waveform in frequency space by allowing the user to set the power and phase for each of the first 16 harmonics of the fundamental from the front panel.
2 x m in the harmonic function will be matched using artificial immune algorithms (AIS).
And we have the definition of the output autocorrelation harmonic function [6]
She views the subject of harmonic function by degree with fresh eyes, noting the occasional absence of a strong concentration on the dominant (e.
The value of a harmonic function in the center of a ball equals the average of its values on the boundary sphere; so at every point any sharpness of the harmonic function is lost, flattened out by averaging.