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Definition: Fourier

Part of Speech Definition
Noun 1. French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830).[Wordnet]
2. French sociologist and reformer who hoped to achieve universal harmony by reorganizing society (1772-1837).[Wordnet].

Source: WordNet 3.0 Copyright © 2006 by Princeton University. All rights reserved.

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"Fourier" is a common misspelling or typo for: courier, flourier, fourrier.

Date "Fourier" was first used in popular English literature: sometime before 1732. (references)

Common Expressions: Fourier

Expressions Definition
Annales de l'Institut Fourier The Annales de l'Institut Fourier is a French mathematical research journal in. It was started in 1949. (references)
Baron Jean Baptiste Joseph Fourier French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830). Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved.
Charles Fourier French sociologist and reformer who hoped to achieve universal harmony by reorganizing society (1772-1837). Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved.
Charles Fourier François Marie Charles Fourier was a French utopian socialist. He was born on April 7, 1772 and he died on October 10, 1837. Fourier inspired the founding of the communist community called La Reunion near present-day Dallas, Texas as well as several other communities within the United States of America. (references)
Convergence of Fourier series Rich field of research, sometimes called classic harmonic analysis, a branch of pure mathematics. For most engineering uses of Fourier analysis, convergence is generally simply assumed without justification; this article shows that convergence is not necessarily a given in the general case, and discusses the criteria which need to be met for convergence to occur. (references)
Discrete-time Fourier transform The discrete-time Fourier transform (or DTFT) is part of the family of Fourier transforms. It transforms a function f(n) of a discrete "time" variable n where n \in \mathbb{Z}. The DTFT produces a continuous, periodic spectrum F(e^{i \omega}). (references)
Fourier (crater) Fourier is a lunar crater that is located in the southwestern part of the Moon's near side, just to the southeast of Vieta crater. To the northeast is the Mare Humorum. The rim of this crater is roughly circular, but appears oval when viewed from the Earth due to foreshortening. (references)
Fourier analysis Analysis of a periodic function into a sum of simple sinusoidal components. Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved.
Fourier inversion theorem In mathematics, Fourier inversion recovers a function from its Fourier transform. Several different Fourier inversion theorems exist. (references)
Fourier number The quantity is named after the mathematician Fourier. (references)
Fourier operator The Fourier operator is the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform. (references)
Fourier optics To explain the basic principle of Fourier optics, it might be useful to consider the analogue with acoustics: If an arbitrary sound is analyzed through a spectrum analyzer, you will get all the different frequencies and their individual amplitudes that, together, form the sound. You can imagine that in a female soprano voice there are much more high frequency components than in a male bass voice. (references)
Fourier profilometry Fourier profilometry is a method for measuring profiles using distortions in periodic patterns. The method uses Fourier analysis (a 2-dimensional Fast Fourier transform) to determine localized slopes on a curving surface. (references)
Fourier series The sum of a series of trigonometric expressions; used in the analysis of periodic functions. Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved.
Fourier theorem In mathematics, the Fourier theorem is a theorem stating that a periodic function f(x), which is reasonably continuous, may be expressed as the sum of a series of sine and cosine terms (called the Fourier series), each of which has specific amplitude and phase coefficients known as Fourier coefficients. The theorem was developed by the French mathematician J.B. Fourier around 1800. (references)
Fourier transform ion cyclotron resonance Fourier transform ion cyclotron resonance mass spectrometry, also known as Fourier transform mass spectrometry, is a type of mass analyzer (or mass spectrometer) for determining the mass to charge ratio (m/z) of ions based on the cyclotron frequency of the ions in a fixed magnetic field. The ions are trapped in a Penning trap (a magnetic field with electric trapping plates) where they are excited to a larger cyclotron radius by an oscillating electric field perpendicular to the magnetic field. The excitation also results in the ions moving in phase (in a packet). The signal is detected as an image current on a pair of plates which the packet of ions passes close to as they cyclotron. The resulting signal is called a free induction decay (fid), transient or interferogram that consists of a superposition of sine waves. The useful signal is extracted from this data by performing a Fourier transform to give a mass spectrum. Specifically a fast Fourier transform (FFT) is usually used to transform the discrete fid data. (references)
Fractional Fourier transform The fractional Fourier transform (FRFT) is a linear transformation generalizing the continuous Fourier transform, which can be thought of as the Fourier transform to the n-th power where n need not be an integer — thus, it can transform a function to an intermediate domain between time and frequency. Its applications range from filter design and signal analysis to phase retrieval and pattern recognition. (references)
Francois Marie Charles Fourier French sociologist and reformer who hoped to achieve universal harmony by reorganizing society (1772-1837). Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved.
Generalized Fourier series The relation \sim becomes equality if Φ is a complete set, i.e., an orthonormal basis of the space of all square-integrable functions on [a, b], as opposed to a smaller orthonormal set, provided the convergence of the series is understood to be convergence in mean square and not necessarily pointwise convergence, nor convergence almost everywhere. (references)
Half range fourier series A Fourier series with range a < x < b can be extended to include the range -L < x < L. Also this can be used to give the series either odd or even properties useful in solving Differential Equations. (references)
Jean Baptiste Joseph Fourier French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830). Source: Wordnet 3.0 Copyright © 2006 by Princeton University. All rights reserved.
Quantum Fourier transform The quantum Fourier transform is the discrete Fourier transform with a particular decomposition into a product of simpler unitary matrices. Using this decomposition, the discrete Fourier transform can be implemented as a quantum circuit consisting of Hadamard gates and controlled phase shift gates. (references)
Short-time Fourier transform The short-time Fourier transform (STFT), or alternatively short-term Fourier transform, is a Fourier-related transform used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time. (references)

Source: compiled by the editor from various references; see credits.

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Specialty Expressions: Fourier

Expressions Domain Definition
Direct electronic Fourier transform Post & Telecom A device using propagating surface acoustic waves(SAW)to interact with the spatial light distribution of an image, which is focused on a photoconductive surface(e. g. a film of CDS). Source: European Union. (references)
Discrete Fourier transform Computing (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). Source: The Free On-line Dictionary of Computing..
Fast Fourier Transform Computing (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). Source: The Free On-line Dictionary of Computing..
Fast fourier transform Math An algorithm to convert a set of uniformly spaced points from the time domain to the frequency domain. (references)
Fast Fourier Transformation Physics A Fourier Transform is the mathematical operation that takes measurements made with a radio interferometer and transforms them into an image of the radio sky. The Fast Fourier Transform is technique used by computer programs that allows the Fourier Transform to be computed very quickly. (FFT). (references)
Fourier analysis Aerospace The representation of physical or mathematical data by the use of the Fourier series or Fourier integral. (references)
Fourier analysis Business The definition of a periodic waveform of arbitrary shape as a summation of sine waves having specific amplitudes and phases, and having frequencies corresponding to the harmonics of the waveform being defined. Note: A Fourier analysis is particularly well suited for communications equipment design and for predicting the performance of a given design. (references)
Fourier analysis Statistics The determination of the harmonic components of a complex waveform either mathematically or by a wave analyzer device. Source: European Union. (references)
Fourier coefficients Aerospace See Fourier series. (references)
Fourier integral Mathematics The representation of a function (t), by an integral of the form. Source: European Union. (references)
Fourier Optics Space Optical equipment and theory based on spatial and frequency transforms and their function and analysis. (references)
Fourier principle Electrical Engineering Principle which shows that all repeating waveforms can be resolved into sine wave components, consisting of a fundamental and a series of harmonics at multiples of this frequency. Source: European Union. (references)
Fourier series Mathematics Series of terms representing the function, consisting of its mean value and sinusoidal terms having frequencies that are integral multiples of the frequency of the function, the multiple constituting the order of the term. Source: European Union. (references)
Fourier transform Aerospace An analytical transformation of a function f (x) obtained (if it exists) by multiplying the function by e-iux and integrating over all x, where u is the new variable of the transform F (u) and i2 = -1. If the Fourier transform of a function is known, the function itself may be recovered by use of the inversion formula: The Fourier transform has the same uses as the Fourier series: for example, the integrand F (u) exp (iux) is a solution of a given linear differential equation, so that the integral sum of these solutions is the most general solution of the equation. When the variable u is complex, the Fourier transform is equivalent to the Laplace transform. See Fourier integral, spectral function. (references)
Fourier transform Electrical Engineering 1: A mathematical relation between the energy in a transient and that in a continuous energy spectrum of adjacent component frequencies. Source: European Union. (references)
    2: The transform of a function (t), to a function F (omega) of the real variable omega, given by. Source: European Union. (references)
    3: The transform of a function(t), to a function F(omega)of the real variable omega, given by. . . Source: European Union. (references)
Fourier transform Computing 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). Source: The Free On-line Dictionary of Computing..
Fourier Transform (FT) Space A mathematical technique for separating an image into its various spatial frequency components. (references)
Fourier Transform Of The Time-Interval Probability (FT-TIPS) Space A mathematical image processing technique. (references)
Fourier transform spectrometer (FTS) Aerospace Spectrometer that consists of a collimator and beam splitter, which divides the source beam into two parallel beams with equal amplitudes. (references)
Fourier transform spectrometer (FTS) Space A sensor that usually operates in the IR region of the EM spectrum to provide high resolution data. Most FTS use an interferometer in the sensor design. FTS data can be used for a wide range of applications: Earth surface imaging, atmospheric soundings of temperature and water vapor versus altitude, environmental monitoring of trace gas concentrations and distributions, pollutants, atmospheric process studies, and characterization of optical backgrounds, to name a few. Many FTS sensors have been or are being built including FTS (NPL), AES (JPL), FIRS-2 (SAO), MIPAS (KfF), MIROR (DLR), ATMOS (JPL), IASI (CNES/ASI) and SAFIRE-A (CNR/IROE). (references)
Spectroscopy, Fourier Transform Infrared Health A spectroscopic technique in which a range of wavelengths is presented simultaneously with an interferometer and the spectrum is mathematically derived from the pattern thus obtained. (references)

Source: compiled by the editor from various references; see credits.

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Extended Definition: Fourier

Fourier

Fourier (pronounced /ˈfʊərieɪ/, French pronunciation IPA: [fuʁie]) may refer to:

  • Charles Fourier (1772–1837), a French utopian socialist thinker
  • Joseph Fourier (1768–1830), a French mathematician and physicist
    • Mathematics, physics, and engineering terms named in his honor for his work on the concepts underlying them:
      • Mathematics tools:
        • The Fourier mode, a simple sinusoidal function such as x = sinθ, in its role as a component of a Fourier series
        • The Fourier series, a series, a weighted sum of component normal Fourier modes, the result of Fourier analysis
        • Fourier analysis, the analysis of a periodic function by decomposition into a Fourier series
        • The Fourier transform, the type of linear canonical transform that is the generalization of the Fourier series
        • The Fourier operator, the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform
        • Fourier inversion theorem, any one of several theorems by which Fourier inversion recovers a function from its Fourier transform
        • List of Fourier-related transforms, a list of linear transformations of functions related to Fourier analysis
        • Short-time Fourier transform or short-term Fourier transform (STFT), a Fourier transform during a short term of time, used in the area of signal analysis
        • Fractional Fourier transform (FRFT), a linear transformation generalizing the Fourier transform, used in the area of harmonic analysis
        • Discrete-time Fourier transform (DTFT), the reverse of the Fourier series, a special case of the Z-transform around the unit circle in the complex plane
        • Discrete Fourier transform (DFT), occasionally called the finite Fourier transform, the Fourier transform of a discrete periodic sequence (yielding discrete periodic frequencies), which can also be thought of as the DTFT of a finite-length sequence evaluated at discrete frequencies
        • Fast Fourier transform (FFT), a fast algorithm for computing a Discrete Fourier transform
        • Generalized Fourier series, generalizations of Fourier series that are special cases of decompositions over an orthonormal basis of an inner product space
      • Physics and engineering:
        • The Fourier number (Fo) (also known as the Fourier modulus), a ratio αt / d2 of the rate of heat conduction αt to the rate of thermal energy storage d2
        • Fourier transform spectroscopy, a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source, using time-domain measurements of the electromagnetic radiation or other type of radiation, including several methods such as the continuous wave Michelson or Fourier transform spectrometer and the pulsed Fourier transform spectrograph
  • Peter Fourier (1565–1640), a French saint in the Roman Catholic Church and priest of Mattaincourt

Source: adapted by the editor from Wikipedia, the free encyclopedia; from the article "Fourier". Image Credit.
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Topics by Level of Interest: Fourier

Topics sorted by level of Interest Level (1=low, 600=high)     Topics sorted Alphabetically Level (1=low, 600=high)
Discrete Fourier transform 75     A derivation of the discrete Fourier transform 12
Fourier transform 72     Annales de l'Institut Fourier 2
Fourier series 46     Arithmetic complexity of the discrete Fourier transform 7
Discrete-time Fourier transform 41     Charles Fourier 28
Fast Fourier transform 38     Convergence of Fourier series 23
Fourier analysis 31     Discrete Fourier transform 75
Fourier optics 30     Discrete-time Fourier transform 41
Charles Fourier 28     Fast Fourier transform 38
Relations between Fourier transforms and Fourier series 27     Finite Fourier transform 4
Convergence of Fourier series 23     Fourier 16
Short-time Fourier transform 19     Fourier (crater) 11
Fourier 16     Fourier algebra 9
Joseph Fourier 16     Fourier analysis 31
Fourier transform ion cyclotron resonance 16     Fourier complex 4
Fractional Fourier transform 14     Fourier integral operator 3
Fourier transform spectroscopy 13     Fourier inversion theorem 6
A derivation of the discrete Fourier transform 12     Fourier number 3
Fourier (crater) 11     Fourier operator 5
Joseph Fourier University 10     Fourier optics 30
Fourier algebra 9     Fourier pair 2
Generalized Fourier series 8     Fourier profilometry 3
Quantum Fourier transform 8     Fourier series 46
Arithmetic complexity of the discrete Fourier transform 7     Fourier theorem 5
Planetary Fourier Spectrometer 6     Fourier transform 72
Fourier inversion theorem 6     Fourier transform ion cyclotron resonance 16
Peter Fourier 5     Fourier transform spectroscopy 13
Fourier operator 5     Fractional Fourier transform 14
Fourier theorem 5     Generalized Fourier series 8
List of Fourier analysis topics 4     Half range Fourier series 3
Finite Fourier transform 4     Joseph Fourier 16
Fourier complex 4     Joseph Fourier University 10
Fourier integral operator 3     List of Fourier analysis topics 4
Fourier number 3     Peter Fourier 5
Half range Fourier series 3     Planetary Fourier Spectrometer 6
Fourier profilometry 3     Quantum Fourier transform 8
Annales de l'Institut Fourier 2     Relations between Fourier transforms and Fourier series 27
Fourier pair 2     Short-time Fourier transform 19

Source: the editor, created by/for EVE to gauge likely levels of human interest in linguistically triggered topics (compiled across various sources, such as Wikipedia and specialty expression glosses).

Translations: Fourier

Language Translations (or nearest inflections or synonyms, in parentheses)
Al Arabiya تحويل فورييه العكسي (inverse Fourier transform), مقياس الطيف دون الأحمر بتحويل فورييه (Fourier transform infrared spectrometer), محول فورييه السريع (fast Fourier transform), تحويل فورييه (Fourier transform). Additional references: Al Arabiya, Saudi Arabia, Algeria, Fourier. (volunteer & more translations)
Al Fus-Ha تحويل فورييه العكسي (inverse Fourier transform), مقياس الطيف دون الأحمر بتحويل فورييه (Fourier transform infrared spectrometer), محول فورييه السريع (fast Fourier transform), تحويل فورييه (Fourier transform). Additional references: Al Fus-Ha, Saudi Arabia, Algeria, Fourier. (volunteer & more translations)
Arabic تحويل فورييه العكسي (inverse Fourier transform), مقياس الطيف دون الأحمر بتحويل فورييه (Fourier transform infrared spectrometer), محول فورييه السريع (fast Fourier transform), تحويل فورييه (Fourier transform). Additional references: Arabic, Saudi Arabia, Algeria, Fourier. (volunteer & more translations)
Íslenska Jean Baptiste Joseph Fourier (Joseph Fourier), Fouriersgreining (Fourier analysis). Additional references: Íslenska, Iceland, Fourier. (volunteer & more translations)
Bahasa Indonesia Jean Baptiste Joseph Fourier (Joseph Fourier), Transformasi Fourier (Fourier transform). Additional references: Bahasa Indonesia, Indonesia, Java, Fourier. (volunteer & more translations)
Basque Fourier transformatua (Fourier transform). Additional references: Basque, Spain, Fourier. (volunteer & more translations)
Bohemian Fourierov (Fourier), Fourierova analiza (Fourier analysis), diskretna F o uri e rova transformacija (discrete Fourier transform), diskretna Fourierova transformacija (discrete Fourier transform), diskretna Fourier-ova transformacija (discrete Fourier transform), rezultat diskretne F o uri e rova transformacije (discrete Fourier transform), brza F o uri e rova transformacija (fast Fourier transform), rezultat brze Fourierove transformacije (fast Fourier transform), Fourierova transformacija (Fourier transform, Fourier transformation, Fourier's transformation), Fourierova inverzija (Fourier inversion). Additional references: Bohemian, Czech Republic, Fourier. (volunteer & more translations)
Catalan Jean Baptiste Joseph Fourier (Joseph Fourier). Additional references: Catalan, Spain, Andorra, Fourier. (volunteer & more translations)
Central Danish FFT (fast Fourier transform, fast Fourier transformation), fast Fourier transformation (fast Fourier transform), Fourier-transformation (Fourier integral equation, Fourier transform), Fourier-analyse (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis), spektralanalyse (Fourier analysis, frequency-domain analysis, spectral analysis, spectral method, spectroscopic analysis). Additional references: Central Danish, Denmark, Germany, Fourier. (volunteer & more translations)
Central Tai การแปลงฟูริเยร์ต่อเนื่อง (Continuous Fourier transform), การแปลงฟูริเยร์ (Fourier transform), อนุกรมฟูริเยร์ (Fourier series). Additional references: Central Tai, Thailand, Fourier. (volunteer & more translations)
Cestina Fourierov (Fourier), Fourierova analiza (Fourier analysis), diskretna F o uri e rova transformacija (discrete Fourier transform), diskretna Fourierova transformacija (discrete Fourier transform), diskretna Fourier-ova transformacija (discrete Fourier transform), rezultat diskretne F o uri e rova transformacije (discrete Fourier transform), brza F o uri e rova transformacija (fast Fourier transform), rezultat brze Fourierove transformacije (fast Fourier transform), Fourierova transformacija (Fourier transform, Fourier transformation, Fourier's transformation), Fourierova inverzija (Fourier inversion). Additional references: Cestina, Czech Republic, Fourier. (volunteer & more translations)
Chinese Simplified 傅立叶 (fourier, Francois-Maire Charles Fourier), 傅里叶 (Jean-Baptiste-Joseph Fourier), 快速傅里叶变换 (fast fourier transform). Additional references: Chinese Simplified, China, Brunei, Fourier. (volunteer & more translations)
Chinese Traditional 傅立葉 (fourier, Francois-Maire Charles Fourier), 傅里葉 (Jean-Baptiste-Joseph Fourier), 快速傅裡葉變換 (fast fourier transform). Additional references: Chinese Traditional, China, Brunei, Fourier. (volunteer & more translations)
Czech Fourierov (Fourier), Fourierova analiza (Fourier analysis), diskretna F o uri e rova transformacija (discrete Fourier transform), diskretna Fourierova transformacija (discrete Fourier transform), diskretna Fourier-ova transformacija (discrete Fourier transform), rezultat diskretne F o uri e rova transformacije (discrete Fourier transform), brza F o uri e rova transformacija (fast Fourier transform), rezultat brze Fourierove transformacije (fast Fourier transform), Fourierova transformacija (Fourier transform, Fourier transformation, Fourier's transformation), Fourierova inverzija (Fourier inversion). Additional references: Czech, Czech Republic, Fourier. (volunteer & more translations)
Danish FFT (fast Fourier transform, fast Fourier transformation), fast Fourier transformation (fast Fourier transform), Fourier-transformation (Fourier integral equation, Fourier transform), Fourier-analyse (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis), spektralanalyse (Fourier analysis, frequency-domain analysis, spectral analysis, spectral method, spectroscopic analysis). Additional references: Danish, Denmark, Germany, Fourier. (volunteer & more translations)
Dansk FFT (fast Fourier transform, fast Fourier transformation), fast Fourier transformation (fast Fourier transform), Fourier-transformation (Fourier integral equation, Fourier transform), Fourier-analyse (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis), spektralanalyse (Fourier analysis, frequency-domain analysis, spectral analysis, spectral method, spectroscopic analysis). Additional references: Dansk, Denmark, Germany, Fourier. (volunteer & more translations)
Deutsch Fouriersch (Fourier), Fourierreihe (Fourier series), Fourierintegral (inverse Fourier transform), die Fourierreihe (Fourier series), Fouriertransformation (Fourier transformation), die Fouriertransformation (Fourier transformation), Jean Baptiste Joseph Fourier (Joseph Fourier), Fourier-Transformations-Infrarot-Spektrometer (Fourier transform spectroscopy), Fourier-Transformation (Fourier transform), Schnelle Fourier-Transformation (Fast Fourier transform). Additional references: Deutsch, Germany, Austria, Fourier. (volunteer & more translations)
Dutch fouriertransformatie (Fourier transform, Fourier integral equation), Jean-Baptiste Joseph Fourier (Joseph Fourier), Fourierreeks (Fourier series), Fast Fourier Transform (Fast Fourier transform), Discrete-tijd fouriertransformatie (Discrete-time Fourier transform), Discrete fouriertransformatie (Discrete Fourier transform), Charles Fourier (Charles Fourier), spectrumanalyse (Fourier analysis, frequency analysis, spectral analysis, spectrum analysis, wave analysis), Fourier analyse (Fourier analysis). Additional references: Dutch, Netherlands, Aruba, Fourier. (volunteer & more translations)
Euskera Fourier transformatua (Fourier transform). Additional references: Euskera, Spain, Fourier. (volunteer & more translations)
Finnish Jean Baptiste Joseph Fourier (Joseph Fourier), Fourier'n muunnos (Fourier transform), nopea Fourier-muunnos (fast Fourier transform, fast Fourier transformation), suora elektroninen Fourier-muunnos (deft, direct electronic Fourier transform), Fourier-muunnos (Fourier integral equation, Fourier transform), Fourierin muunnos (Fourier transform), spektrianalyysi (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis), Fourier-analyysi (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis). Additional references: Finnish, Finland, Russia (Europe), Fourier. (volunteer & more translations)
Français transformée de Fourier (Fourier transform, Fourier transformation, Fourier's transform, Fourier integral equation), série de Fourier (Fourier series), transformée de Fourier rapide (fast Fourier transform), analyse de Fourier (Fourier analysis), transformation de Fourier (Fourier transform, Fourier transformation, Fourier integral equation), transformée inverse de Fourier (inverse Fourier transform), spectre de fourier (Fourier spectrum), spectre de série de fourier (Fourier series), spectre de phase de fourier (Fourier phase spectrum), signatures de la transformée de Fourier (Fourier transform signatures). Additional references: Français, France, Algeria, Fourier. (volunteer & more translations)
French transformée de Fourier (Fourier transform, Fourier transformation, Fourier's transform, Fourier integral equation), série de Fourier (Fourier series), transformée de Fourier rapide (fast Fourier transform), analyse de Fourier (Fourier analysis), transformation de Fourier (Fourier transform, Fourier transformation, Fourier integral equation), transformée inverse de Fourier (inverse Fourier transform), spectre de fourier (Fourier spectrum), spectre de série de fourier (Fourier series), spectre de phase de fourier (Fourier phase spectrum), signatures de la transformée de Fourier (Fourier transform signatures). Additional references: French, France, Algeria, Fourier. (volunteer & more translations)
Galego Óptica de Fourier (Fourier optics). Additional references: Galego, Spain, Portugal, Fourier. (volunteer & more translations)
Galician Óptica de Fourier (Fourier optics). Additional references: Galician, Spain, Portugal, Fourier. (volunteer & more translations)
Gallego Óptica de Fourier (Fourier optics). Additional references: Gallego, Spain, Portugal, Fourier. (volunteer & more translations)
German Fouriersch (Fourier), Fourierreihe (Fourier series), Fourierintegral (inverse Fourier transform), die Fourierreihe (Fourier series), Fouriertransformation (Fourier transformation), die Fouriertransformation (Fourier transformation), Jean Baptiste Joseph Fourier (Joseph Fourier), Fourier-Transformations-Infrarot-Spektrometer (Fourier transform spectroscopy), Fourier-Transformation (Fourier transform), Schnelle Fourier-Transformation (Fast Fourier transform). Additional references: German, Germany, Austria, Fourier. (volunteer & more translations)
Greek Σαρλ Φουριέ (Charles Fourier), μετασχηματισμός Fourier (Fourier integral equation, Fourier transform), γρήγορος μετασχηματισμός Φουριέ (fast Fourier transform, fast Fourier transformation), ευθύς ηλεκτρονικός μετασχηματισμός Φουριέ (deft, direct electronic Fourier transform), ανάλυση Fourier (Fourier analysis), μετασχηματισμός Φουριέ (Fourier transform), Μετασχηματισμός Fourier (Fourier analysis), φασματοσκοπική ανάλυση (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis). Additional references: Greek, Greece, Albania, Fourier. (volunteer & more translations)
Greek (transliteration) sarl foirie (Charles Fourier), metaskhimatismos fourier (Fourier integral equation, Fourier transform), grigoros metaskhimatismos foirie (fast Fourier transform, fast Fourier transformation), eithus ilektronikos metaskhimatismos foirie (deft, direct electronic Fourier transform), analisi fourier (Fourier analysis), metaskhimatismos foirie (Fourier transform), metaskhimatismos fourier (Fourier analysis), fasmatoskopiki analisi (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis). Additional references: Greek, Greece, Albania, Fourier. (volunteer & more translations)
Hanguk Mal 푸리에 (Fourier), 장 밥티스트 조제프 푸리에 (Joseph Fourier), 푸리에 급수 (Fourier series). Additional references: Hanguk Mal, Korea, South, Korea, Fourier. (volunteer & more translations)
Hanguohua 푸리에 (Fourier), 장 밥티스트 조제프 푸리에 (Joseph Fourier), 푸리에 급수 (Fourier series). Additional references: Hanguohua, Korea, South, Korea, Fourier. (volunteer & more translations)
Hebrew ז'אן בטיסט ז'וזף פורייה (Joseph Fourier), ספקטרוסקופייתפוריה (Fourier transform spectroscopy), טור פורייה (Fourier series), התמרתפורייההרציפה (Continuous Fourier transform). Additional references: Hebrew, Israel, Fourier. (volunteer & more translations)
High Arabic تحويل فورييه العكسي (inverse Fourier transform), مقياس الطيف دون الأحمر بتحويل فورييه (Fourier transform infrared spectrometer), محول فورييه السريع (fast Fourier transform), تحويل فورييه (Fourier transform). Additional references: High Arabic, Saudi Arabia, Algeria, Fourier. (volunteer & more translations)
High German Fouriersch (Fourier), Fourierreihe (Fourier series), Fourierintegral (inverse Fourier transform), die Fourierreihe (Fourier series), Fouriertransformation (Fourier transformation), die Fouriertransformation (Fourier transformation), Jean Baptiste Joseph Fourier (Joseph Fourier), Fourier-Transformations-Infrarot-Spektrometer (Fourier transform spectroscopy), Fourier-Transformation (Fourier transform), Schnelle Fourier-Transformation (Fast Fourier transform). Additional references: High German, Germany, Austria, Fourier. (volunteer & more translations)
Hochdeutsch Fouriersch (Fourier), Fourierreihe (Fourier series), Fourierintegral (inverse Fourier transform), die Fourierreihe (Fourier series), Fouriertransformation (Fourier transformation), die Fouriertransformation (Fourier transformation), Jean Baptiste Joseph Fourier (Joseph Fourier), Fourier-Transformations-Infrarot-Spektrometer (Fourier transform spectroscopy), Fourier-Transformation (Fourier transform), Schnelle Fourier-Transformation (Fast Fourier transform). Additional references: Hochdeutsch, Germany, Austria, Fourier. (volunteer & more translations)
Icelandic Jean Baptiste Joseph Fourier (Joseph Fourier), Fouriersgreining (Fourier analysis). Additional references: Icelandic, Iceland, Fourier. (volunteer & more translations)
Indonesian Jean Baptiste Joseph Fourier (Joseph Fourier), Transformasi Fourier (Fourier transform). Additional references: Indonesian, Indonesia, Java, Fourier. (volunteer & more translations)
Ivrit ז'אן בטיסט ז'וזף פורייה (Joseph Fourier), ספקטרוסקופייתפוריה (Fourier transform spectroscopy), טור פורייה (Fourier series), התמרתפורייההרציפה (Continuous Fourier transform). Additional references: Ivrit, Israel, Fourier. (volunteer & more translations)
Japanese フーリエ (Fourier), フーリエ変換 (Fourier transform), 離散フーリエ変換 (DFT, discrete Fourier transform), 高速フーリエ変換 (fast Fourier transform, FFT), 短時間フーリエ変換 (Short-time Fourier transform), ジョゼフ・フーリエ (Joseph Fourier), 高速フリエ変換 (fast Fourier transform, FFT), 逆フーリェ変換 (inverse fourier transform), 逆高速フーリエ変換 (inverse fast Fourier transform), 二次元高速フーリエ変換 (two dimensional fast Fourier transform). Additional references: Japanese, Japan, Taiwan, Fourier. (volunteer & more translations)
Korean 푸리에 (Fourier), 장 밥티스트 조제프 푸리에 (Joseph Fourier), 푸리에 급수 (Fourier series). Additional references: Korean, Korea, South, Korea, Fourier. (volunteer & more translations)
Portuguese Jean-Baptiste Joseph Fourier (Joseph Fourier), Transformada de Fourier (Fourier transform). Additional references: Portuguese, Portugal, Angola, Fourier. (volunteer & more translations)
Ruotsi Fourier-transform (Fourier transform), Fourier-analys (Fourier analysis), Jean-Baptiste Joseph Fourier (Joseph Fourier), FFT (Fast Fourier transform), spektralanalys (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis, Spectrum analyzer), Fourieranalys (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis). Additional references: Ruotsi, Sweden, Finland, Fourier. (volunteer & more translations)
Siamese การแปลงฟูริเยร์ต่อเนื่อง (Continuous Fourier transform), การแปลงฟูริเยร์ (Fourier transform), อนุกรมฟูริเยร์ (Fourier series). Additional references: Siamese, Thailand, Fourier. (volunteer & more translations)
Sjaelland FFT (fast Fourier transform, fast Fourier transformation), fast Fourier transformation (fast Fourier transform), Fourier-transformation (Fourier integral equation, Fourier transform), Fourier-analyse (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis), spektralanalyse (Fourier analysis, frequency-domain analysis, spectral analysis, spectral method, spectroscopic analysis). Additional references: Sjaelland, Denmark, Germany, Fourier. (volunteer & more translations)
Slovak Jean Baptiste Joseph Fourier (Joseph Fourier). Additional references: Slovak, Slovakia, Hungary, Fourier. (volunteer & more translations)
Slovakian Jean Baptiste Joseph Fourier (Joseph Fourier). Additional references: Slovakian, Slovakia, Hungary, Fourier. (volunteer & more translations)
Spanish transformada de Fourier (Fourier transform, Fourier integral equation), análisis de Fourier (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis), serie de Fourier (Fourier series), transformación de Fourier (Fourier transform, Fourier integral equation), transformada inversa de Fourier (inverse Fourier transform), transformada discreta de Fourier (discrete Fourier transform), TFR (fast Fourier transform, fast Fourier transformation), transformación de Fourier rápida (fast Fourier transform, fast Fourier transformation), transformación de Fourier rapida (fast Fourier transform). Additional references: Spanish, Spain, Mexico, Fourier. (volunteer & more translations)
Standard Thai การแปลงฟูริเยร์ต่อเนื่อง (Continuous Fourier transform), การแปลงฟูริเยร์ (Fourier transform), อนุกรมฟูริเยร์ (Fourier series). Additional references: Standard Thai, Thailand, Fourier. (volunteer & more translations)
Suomea Jean Baptiste Joseph Fourier (Joseph Fourier), Fourier'n muunnos (Fourier transform), nopea Fourier-muunnos (fast Fourier transform, fast Fourier transformation), suora elektroninen Fourier-muunnos (deft, direct electronic Fourier transform), Fourier-muunnos (Fourier integral equation, Fourier transform), Fourierin muunnos (Fourier transform), spektrianalyysi (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis), Fourier-analyysi (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis). Additional references: Suomea, Finland, Russia (Europe), Fourier. (volunteer & more translations)
Suomi Jean Baptiste Joseph Fourier (Joseph Fourier), Fourier'n muunnos (Fourier transform), nopea Fourier-muunnos (fast Fourier transform, fast Fourier transformation), suora elektroninen Fourier-muunnos (deft, direct electronic Fourier transform), Fourier-muunnos (Fourier integral equation, Fourier transform), Fourierin muunnos (Fourier transform), spektrianalyysi (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis), Fourier-analyysi (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis). Additional references: Suomi, Finland, Russia (Europe), Fourier. (volunteer & more translations)
Svenska Fourier-transform (Fourier transform), Fourier-analys (Fourier analysis), Jean-Baptiste Joseph Fourier (Joseph Fourier), FFT (Fast Fourier transform), spektralanalys (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis, Spectrum analyzer), Fourieranalys (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis). Additional references: Svenska, Sweden, Finland, Fourier. (volunteer & more translations)
Swedish Fourier-transform (Fourier transform), Fourier-analys (Fourier analysis), Jean-Baptiste Joseph Fourier (Joseph Fourier), FFT (Fast Fourier transform), spektralanalys (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis, Spectrum analyzer), Fourieranalys (Fourier analysis, frequency-domain analysis, spectral analysis, spectrum analysis). Additional references: Swedish, Sweden, Finland, Fourier. (volunteer & more translations)
Thai การแปลงฟูริเยร์ต่อเนื่อง (Continuous Fourier transform), การแปลงฟูริเยร์ (Fourier transform), อนุกรมฟูริเยร์ (Fourier series). Additional references: Thai, Thailand, Fourier. (volunteer & more translations)
Thaiklang การแปลงฟูริเยร์ต่อเนื่อง (Continuous Fourier transform), การแปลงฟูริเยร์ (Fourier transform), อนุกรมฟูริเยร์ (Fourier series). Additional references: Thaiklang, Thailand, Fourier. (volunteer & more translations)
Turkish Fourier dönüşümü (Fourier transform), Fourier dizisi (Fourier series), Fourier analizi (Fourier analysis), ayrık Fourier dizisi (discrete Fourier series). Additional references: Turkish, Turkey, Bulgaria, Fourier. (volunteer & more translations)
Vascuense Fourier transformatua (Fourier transform). Additional references: Vascuense, Spain, Fourier. (volunteer & more translations)
Source: Eve, based on a combination of meta analysis and graph theory (for near and back translations). Top

Constructed Language Translations: Fourier

Language Translations for “Fourier” or closest synonym(s); back translations in parentheses.
Athag Fathagourathagiathager (Fourier). Additional references: Athag, Fourier. (volunteer)
Double Dutch Fagouragiager (Fourier). Additional references: Double Dutch, Fourier. (volunteer)
Leet |>}{0(_)|2|&|2 (Fourier). Additional references: Leet, Fourier. (volunteer)
Oppish Fopouropioper (Fourier). Additional references: Oppish, Fourier. (volunteer)
Pig Latin Ourierfay (Fourier). Additional references: Pig Latin, Fourier. (volunteer)
Terran B Fouriers (Fourier). Additional references: Terran B, Fourier. (volunteer)
Ubbi Dubbi Fubourubiuber (Fourier). Additional references: Ubbi Dubbi, Fourier. (volunteer)
Source: compiled by the editor. Top