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  2. Harmonic function - Wikipedia

    en.wikipedia.org/wiki/Harmonic_function

    The descriptor "harmonic" in the name harmonic function originates from a point on a taut string which is undergoing harmonic motion.The solution to the differential equation for this type of motion can be written in terms of sines and cosines, functions which are thus referred to as harmonics.

  3. Harmonic analysis - Wikipedia

    en.wikipedia.org/wiki/Harmonic_analysis

    Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency.The frequency representation is found by using the Fourier transform for functions on unbounded domains such as the full real line or by Fourier series for functions on bounded domains, especially periodic functions on finite intervals.

  4. Spherical harmonics - Wikipedia

    en.wikipedia.org/wiki/Spherical_harmonics

    Notice, however, that spherical harmonics are not functions on the sphere which are harmonic with respect to the Laplace-Beltrami operator for the standard round metric on the sphere: the only harmonic functions in this sense on the sphere are the constants, since harmonic functions satisfy the Maximum principle.

  5. Harmonic - Wikipedia

    en.wikipedia.org/wiki/Harmonic

    In physics, acoustics, and telecommunications, a harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the fundamental frequency of a periodic signal. The fundamental frequency is also called the 1st harmonic ; the other harmonics are known as higher harmonics .

  6. Harmonic (mathematics) - Wikipedia

    en.wikipedia.org/wiki/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 Laplacians ; the solutions to which are given by eigenvalues corresponding to their modes of vibration.

  7. Table of spherical harmonics - Wikipedia

    en.wikipedia.org/wiki/Table_of_spherical_harmonics

    The saturation of the color at any point represents the magnitude of the spherical harmonic and the hue represents the phase. The nodal 'line of latitude' are visible as horizontal white lines. The nodal 'line of longitude' are visible as vertical white lines. Visual Array of Complex Spherical Harmonics Represented as 2D Theta/Phi Maps

  8. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    Harmonic oscillators occurring in a number of areas of engineering are equivalent in the sense that their mathematical models are identical (see universal oscillator equation above). Below is a table showing analogous quantities in four harmonic oscillator systems in mechanics and electronics.

  9. Category:Harmonic functions - Wikipedia

    en.wikipedia.org/wiki/Category:Harmonic_functions

    Pages in category "Harmonic functions" The following 26 pages are in this category, out of 26 total. This list may not reflect recent changes. ...