fourier

listen to the pronunciation of fourier
İngilizce - İngilizce
{i} family name; Jean Baptiste Joseph Fourier (1768-1830), French mathematician and physicist who studied the conduction of heat; Francois Marie Charles Fourier (1772-1837), French utopian socialist; name of a lunar crater
French mathematician and physicist who formulated a method for analyzing periodic functions and studied the conduction of heat. Fourier series Fourier transform Fourier François Marie Charles Fourier Jean Baptiste Joseph Baron
French sociologist and reformer who hoped to achieve universal harmony by reorganizing society (1772-1837)
French sociologist and reformer who hoped to achieve universal harmony by reorganizing society (1772-1837) French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830)
French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830)
Fourier series
A series of cosine and sine functions or complex exponentials resulting from the decomposition of a periodic function
Fourier transform
a transform, applied to a function, used to determine the function's frequency composition (temporal, spatial or otherwise); it has many scientific and industrial applications, especially in signal processing
Fourier transforms
plural form of Fourier transform
fourier analysis
The branch of mathematics concerned with the approximation of periodic functions by the Fourier series and with generalizations of such approximations to a wider class of functions
Fourier series
An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions. In mathematics, an infinite series used to solve special types of differential equations. It consists of an infinite sum of sines and cosines, and because it is periodic (i.e., its values repeat over fixed intervals), it is a useful tool in analyzing periodic functions. Though investigated by Leonhard Euler, among others, the idea was named for Joseph Fourier, who fully explored its consequences, including important applications in engineering, particularly in heat conduction
Fourier transform
In mathematical analysis, an integral transform useful in solving certain types of partial differential equations. A function's Fourier transform is derived by integrating the product of the function and a kernel function (an exponential function raised to a negative complex power) over the interval from - to +. The Fourier transform of a function g is given by
fourier analysis
analysis of a periodic function into a sum of simple sinusoidal components
fourier series
A series proposed by the French mathematician Fourier about the year 1807 The series involves the sines and cosines of whole multiples of a varying angle and is usually written in the following form: y = Ho + A1 sin x + A2 sin 2x + A3 sin 3x + B1 cos x + B2 cos 2x + B3 cos 3x + By taking a sufficient number of terms the series may be made to represent any periodic function of x
fourier series
The mathematical basis of harmonic analysis of tides and of tidal predictions, a series of sinusoids of different frequencies representing different tidal harmonic constituents First presented in 1807 by Fourier as a tool for representing any periodic function
fourier series
An infinite series of the form Such series represent singly periodic meromorphic functions f(z), where f(z+1) = f(z) for all z There is an extensive theory developed around the properties of such series, having many uses in both theoretical and applied mathematics
fourier series
The representation of a function f(x) in an interval (-L, L) by a series consisting of sines and cosines with a common period 2L, in the form, where the Fourier coefficients are defined as and
fourier series
A method that defines a periodic or discontinuous function as a series of sine and cosine waves, and can be used to predict a value or the level of system response
fourier series
the sum of a series of trigonometric expressions; used in the analysis of periodic functions
discrete Fourier transform
The process of converting a discrete time-based function into its frequency-based representation
discrete Fourier transforms
plural form of discrete Fourier transform
fast Fourier transform
A member of a certain family of algorithms for efficiently computing the discrete Fourier transform of data
fast Fourier transform
An instance of performing one of these algorithms
fast Fourier transforms
plural form of fast Fourier transform
inverse Fourier transform
A mathematical operation that transforms a function for a discrete or continuous spectrum into a function for the amplitude with the given spectrum; an inverse transform of the Fourier transform
inverse Fourier transforms
plural form of inverse Fourier transform
Charles Fourier
born April 7, 1772, Besançon, France died Oct. 10, 1837, Paris French social theorist. He advocated a reconstruction of society based on communal associations of producers known as phalanges (phalanxes). His system became known as Fourierism. He felt that phalanges would distribute wealth more equitably than would capitalism and that they would contribute both to a cooperative lifestyle and to individual self-fulfillment. After inheriting his mother's estate in 1812, he devoted himself to writing and refining his theories. Cooperative settlements based on Fourierism were started in France and the U.S., including Brook Farm
Francois Marie Charles Fourier
{i} Charles Fourier (1772-1837), French utopian socialist and reformer
François-Marie- Charles Fourier
born April 7, 1772, Besançon, France died Oct. 10, 1837, Paris French social theorist. He advocated a reconstruction of society based on communal associations of producers known as phalanges (phalanxes). His system became known as Fourierism. He felt that phalanges would distribute wealth more equitably than would capitalism and that they would contribute both to a cooperative lifestyle and to individual self-fulfillment. After inheriting his mother's estate in 1812, he devoted himself to writing and refining his theories. Cooperative settlements based on Fourierism were started in France and the U.S., including Brook Farm
Jean Baptiste Joseph Fourier
{i} Baron Jean Baptiste Joseph Fourier (1768-1830), French mathematician and physicist who studied the conduction of heat
Jean-Baptiste- Joseph Baron Fourier
born March 21, 1768, Auxerre, France died May 16, 1830, Paris French mathematician and Egyptologist. While an engineer on Napoleon's Egyptian expedition, he conducted (1798-1801) anthropological investigations and wrote the preface to the monumental Description de l'Égypte, whose publication he oversaw (1809-28). In 1808 he was created a baron by Napoleon. In mathematics he is primarily known for his work in heat conduction (1807-22), for his use of the Fourier series to solve differential equations, and for the related concept of the Fourier transform. As a scientist and humanist, he epitomized the spirit of French intellectualism of the Revolutionary era
Joseph Baron Fourier
born March 21, 1768, Auxerre, France died May 16, 1830, Paris French mathematician and Egyptologist. While an engineer on Napoleon's Egyptian expedition, he conducted (1798-1801) anthropological investigations and wrote the preface to the monumental Description de l'Égypte, whose publication he oversaw (1809-28). In 1808 he was created a baron by Napoleon. In mathematics he is primarily known for his work in heat conduction (1807-22), for his use of the Fourier series to solve differential equations, and for the related concept of the Fourier transform. As a scientist and humanist, he epitomized the spirit of French intellectualism of the Revolutionary era