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ALL meanings of fourier series

Fou·rier se·ries
F f
  • noun fourier series an infinite series that involves linear combinations of sines and cosines and approximates a given function on a specified domain. 1
  • noun fourier series (mathematics) a series of cosine and sine functions or complex exponentials resulting from the decomposition of a periodic function. 0
  • noun fourier series an infinite trigonometric series of the form 1⁄2a0 + a1cos x + b1sin x + a2cos 2x + b2sin 2x + …, where a0, a1, b1, a2, b2 … are the Fourier coefficients. It is used, esp in mathematics and physics, to represent or approximate any periodic function by assigning suitable values to the coefficients 0
  • noun fourier series the expansion of a periodic function into a series of sines and cosines 0
  • noun fourier series A Fourier series is an infinite series of harmonic sinusoidal components used to represent a periodic function. 0
  • noun fourier series The Fourier series is named for French mathematician Joseph Fourier (1768-1830). 0
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