slovodefinícia
fourier
(encz)
Fourier,
fourier
(wn)
Fourier
n 1: French mathematician who developed Fourier analysis and
studied the conduction of heat (1768-1830) [syn: Fourier,
Jean Baptiste Joseph Fourier, {Baron Jean Baptiste Joseph
Fourier}]
2: French sociologist and reformer who hoped to achieve
universal harmony by reorganizing society (1772-1837) [syn:
Fourier, Charles Fourier, {Francois Marie Charles
Fourier}]
podobné slovodefinícia
fourier
(encz)
Fourier,
fourier analysis
(encz)
Fourier analysis,
fourier series
(encz)
Fourier series,
Fourierism
(gcide)
Fourierism \Fou"ri*er*ism\, n.
The co["o]perative socialistic system of Charles Fourier, a
Frenchman, who recommended the reorganization of society into
small communities, living in common. Fourierist
Fourierist
(gcide)
Fourierist \Fou"ri*er*ist\, Fourierite \Fou"ri*er*ite\, n.
One who adopts the views of Fourier.
[1913 Webster]
Fourierite
(gcide)
Fourierist \Fou"ri*er*ist\, Fourierite \Fou"ri*er*ite\, n.
One who adopts the views of Fourier.
[1913 Webster]
baron jean baptiste joseph fourier
(wn)
Baron Jean Baptiste Joseph Fourier
n 1: French mathematician who developed Fourier analysis and
studied the conduction of heat (1768-1830) [syn: Fourier,
Jean Baptiste Joseph Fourier, {Baron Jean Baptiste Joseph
Fourier}]
charles fourier
(wn)
Charles Fourier
n 1: French sociologist and reformer who hoped to achieve
universal harmony by reorganizing society (1772-1837) [syn:
Fourier, Charles Fourier, {Francois Marie Charles
Fourier}]
fourier
(wn)
Fourier
n 1: French mathematician who developed Fourier analysis and
studied the conduction of heat (1768-1830) [syn: Fourier,
Jean Baptiste Joseph Fourier, {Baron Jean Baptiste Joseph
Fourier}]
2: French sociologist and reformer who hoped to achieve
universal harmony by reorganizing society (1772-1837) [syn:
Fourier, Charles Fourier, {Francois Marie Charles
Fourier}]
fourier analysis
(wn)
Fourier analysis
n 1: analysis of a periodic function into a sum of simple
sinusoidal components [syn: Fourier analysis, {harmonic
analysis}]
fourier series
(wn)
Fourier series
n 1: the sum of a series of trigonometric expressions; used in
the analysis of periodic functions
francois marie charles fourier
(wn)
Francois Marie Charles Fourier
n 1: French sociologist and reformer who hoped to achieve
universal harmony by reorganizing society (1772-1837) [syn:
Fourier, Charles Fourier, {Francois Marie Charles
Fourier}]
jean baptiste joseph fourier
(wn)
Jean Baptiste Joseph Fourier
n 1: French mathematician who developed Fourier analysis and
studied the conduction of heat (1768-1830) [syn: Fourier,
Jean Baptiste Joseph Fourier, {Baron Jean Baptiste Joseph
Fourier}]
discrete fourier transform
(foldoc)
discrete Fourier transform
DFT

(DFT) A Fourier transform, specialized to the
case where the abscissas are integers.

The DFT is central to many kinds of signal processing,
including the analysis and compression of video and sound
information.

A common implementation of the DFT is the {Fast Fourier
Transform} (FFT).

See also discrete cosine transform.

(1997-03-10)
fast fourier transform
(foldoc)
Fast Fourier Transform
FFT

(FFT) An algorithm for computing the {Fourier
transform} of a set of discrete data values. Given a finite
set of data points, for example a periodic sampling taken from
a real-world signal, the FFT expresses the data in terms of
its component frequencies. It also solves the essentially
identical inverse problem of reconstructing a signal from the
frequency data.

The FFT is a mainstay of numerical analysis. Gilbert Strang
described it as "the most important algorithm of our
generation". The FFT also provides the asymptotically fastest
known algorithm for multiplying two polynomials.

Versions of the algorithm (in C and Fortran) can be found
on-line from the GAMS server {here
(http://gams.nist.gov/cgi-bin/gams-serve/class/J1.html)}.

["Numerical Methods and Analysis", Buchanan and Turner].

(1994-11-09)
fourier transform
(foldoc)
Fourier transform

A technique for expressing a waveform as a
weighted sum of sines and cosines.

Computers generally rely on the version known as {discrete
Fourier transform}.

Named after J. B. Joseph Fourier (1768 -- 1830).

See also wavelet, discrete cosine transform.

(1997-03-9)

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