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Glite Dictionary
📊 A French mathematician 🤔 A French philosopher
Fourier

Fourier

2 9.1
A French mathematician who created methods to study heat and waves
  • proper noun
  • /ˈfʊəriˌeɪ/
translation icon : Fourier
  • The mathematician Joseph Fourier developed the concept of Fourier series to analyze periodic functions.
  • Fourier transform
  • Fourier-transform spectroscopy
  • Fourier's law

That is, they are the quantum version of the Fourier coefficients.

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Examples

  • And you have the discrete Fourier transform of this really simple signal.

  • With conventional Fourier analysis, this is not possible, since the basis function for Fourier is not well localized in time.

    Academic text (1995)

  • Could you express this shape as a Fourier sine series?

  • But the longer that signal persists, the larger the value of the Fourier transform at that frequency.

  • In practice, the back projection is calculated by Fourier transforming the projection data into spatial frequency space.

    Academic text (1995)

  • You see the two-dimensional Fourier transform of MU.

  • The starting point for the analysis of conductive heat transfer is the 1807 Fourier heat equation:

    Academic text (1999)

  • In the mathematical description of the Fourier transform, signals are described as circular paths in the so-called complex plane.

    Academic text (2011)

  • A second key development was the two-dimensional Fourier transform, which enabled one to study selectively a particular coupling between interacting spins.

    Academic text (2002)

  • In his groundbreaking work, Fourier introduced methods that transformed how we understand heat transfer.

Compounds

Fourier analysis
  • Specialized
1 9.0

A method that breaks a repeating signal into simple sine and cosine waves

Fourier series
  • Specialized
8.6

A way to write a repeating shape or wave as a sum of sine and cosine waves

Surface Forms

Fourier main

Etymology

Fourier is a French family name. A helpful way to remember Joseph Fourier is to think of four as a small clue: he showed how waves and sounds can be split into simple parts. That is why his name is used for the Fourier transform in math and engineering.