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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.[citation needed] Thus, the term "harmonic" is applied when one is considering functions with sinusoidal variations, or solutions of Laplace's equation and related concepts.[citation needed]
Mathematical terms whose names include "harmonic" include:
- Projective harmonic conjugate
- Cross-ratio
- Harmonic analysis
- Harmonic conjugate
- Harmonic form
- Harmonic function
- Harmonic mean
- Harmonic mode
- Harmonic number
- Harmonic series
- Harmonic tremor
- Spherical harmonics
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