Fourier transform

American  

[foor-ee-ey trans-fawrm, -ee-er] / ˈfʊər iˌeɪ ˌtræns fɔrm, -i ər /

noun

Mathematics.

1. a mapping of a function, as a signal, that is defined in one domain, as space or time, into another domain, as wavelength or frequency, where the function is represented in terms of sines and cosines. FT

---

Fourier transform British  

noun

1. an integral transform, used in many branches of science, of the form F( x ) = [1/√(2π)]ʃe ^ixy f( y )d y , where the limits of integration are from –∞ to +∞ and the function F is the transform of the function f

---

Etymology

Origin of Fourier transform

First recorded in 1920–25; see origin at Fourier analysis

Example Sentences

Again his mobile features transformed, his expression became soft, warm.

From "Twilight" by Stephenie Meyer

It bore the outline of Pierre, but now strangely filled with features transformed, and unfamiliar to him; feverish eagerness, fear, and nameless forebodings of ill!

From Pierre; or The Ambiguities by Melville, Herman

He threw it down with features transformed in the uplifting thought and the relief of a final resolution taken.

From The Last Shot by Palmer, Frederick