フーリエ
WordNet
- French sociologist and reformer who hoped to achieve universal harmony by reorganizing society (1772-1837) (同)Charles Fourier, Francois Marie Charles Fourier
- French mathematician who developed Fourier analysis and studied the conduction of heat (1768-1830) (同)Jean Baptiste Joseph Fourier, Baron Jean Baptiste Joseph Fourier
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出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2016/06/02 14:02:09」(JST)
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Fourier may refer to:
Contents
- 1 People named Fourier
- 2 Mathematics
- 3 In physics and engineering
- 4 See also
People named Fourier
- Joseph Fourier (1768–1830), French mathematician and physicist
- Charles Fourier (1772–1837), French utopian socialist thinker
- Peter Fourier (1565–1640), French saint in the Roman Catholic Church and priest of Mattaincourt
Mathematics
- Fourier series, a weighted sum of sinusoids having a common period, the result of Fourier analysis of a periodic function
- Fourier analysis, the description of functions as sums of sinusoids
- Fourier transform, the type of linear canonical transform that is the generalization of the Fourier series
- 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
- 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
In physics and engineering
- The Fourier number () (also known as the Fourier modulus), a ratio of the rate of heat conduction to the rate of thermal energy storage
- Fourier transform spectroscopy, a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source
See also
- List of Fourier-related transforms, a list of linear transformations of functions related to Fourier analysis
UpToDate Contents
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English Journal
- Enhancement of mechanical properties, microstructure, and antimicrobial activities of zein films cross-linked using succinic anhydride, eugenol, and citric Acid.
- Khalil AA1, Deraz SF, Elrahman SA, El-Fawal G.
- Preparative biochemistry & biotechnology.Prep Biochem Biotechnol.2015 Aug 18;45(6):551-67. doi: 10.1080/10826068.2014.940967.
- Zein constitutes about half of the endosperm proteins in corn. Recently, attempts have been made to utilize zein for food coatings and biodegradable materials, which require better physical properties, using chemical modification of zein. In this study, zein proteins were modified using citric acid,
- PMID 25036665
- A simple one pot purification of bacterial amylase from fermented broth based on affinity toward starch-functionalized magnetic nanoparticle.
- Paul T1, Chatterjee S, Bandyopadhyay A, Chattopadhyay D, Basu S, Sarkar K.
- Preparative biochemistry & biotechnology.Prep Biochem Biotechnol.2015 Aug 18;45(6):501-14. doi: 10.1080/10826068.2014.923454.
- Surface-functionalized adsorbant particles in combination with magnetic separation techniques have received considerable attention in recent years. Selective manipulation on such magnetic nanoparticles permits separation with high affinity in the presence of other suspended solids. Amylase is used e
- PMID 24840788
- Investigation of the solubility enhancement mechanism of rebaudioside D using a solid dispersion technique with potassium sorbate as a carrier.
- Pang S1, Ma C1, Zhang N2, He L3.
- Food chemistry.Food Chem.2015 May 1;174:564-70. doi: 10.1016/j.foodchem.2014.11.113. Epub 2014 Nov 26.
- Rebaudioside (Reb) D is a high intensity, natural sweetener that shows great potential for substituting sugar in sweetened beverages. However, Reb D is poorly water soluble, and thus, a solid dispersion technique was recently established to enhance its solubility. The purpose of this study was to el
- PMID 25529720
- Discrimination and characterisation of extra virgin olive oils from three cultivars in different maturation stages using Fourier transform infrared spectroscopy in tandem with chemometrics.
- Gouvinhas I1, de Almeida JM2, Carvalho T3, Machado N4, Barros AI4.
- Food chemistry.Food Chem.2015 May 1;174:226-32. doi: 10.1016/j.foodchem.2014.11.037. Epub 2014 Nov 14.
- A methodology based on Fourier transform infrared (FTIR) spectroscopy, combined with multivariate analysis methods, was applied in order to monitor extra virgin olive oils produced from three distinct cultivars on different maturation stages. For the first time, this kind of methodology is used for
- PMID 25529674
Japanese Journal
- New insights into seismic behavior of building and surrounding soil at Hamaoka nuclear power station during Suruga Bay earthquake in 2009
- Kamagata S.,Takewaki I.
- Soil Dynamics and Earthquake Engineering 53, 73-91, 2013-10-00
- … The non-stationary Fourier spectra clarified that the frequency of the dominant component shifted from 3.0 Hz to 2.5 Hz in the short transient time. …
- NAID 120005312064
- 太陽活動極小期における太陽面上のマグネトグラム時系列の特徴
- 清野 光弘,島袋 知巳,Seino Mitsuhiro,Shimabukuro Tomomi
- 琉球大学理学部紀要 = BULLETIN OF THE FACULTY OF SCIENCE UNIVERSITY OF THE RYUKYUS (96), 1-24, 2013-09-30
- … Packing exponents of Continuum and Magnetogram from 1997 to 2012, power spectra with peaks are calculated by using Fourier transform, respectively. …
- NAID 120005328831
- Estimates for bilinear Fourier multiplier operators and bilinear pseudo-differential operators (Harmonic Analysis and Nonlinear Partial Differential Equations)
- A Fourier analytic approach to list-decoding for sparse random linear codes (New Trends in Theoretical Computer Science)
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- A Fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Fourier series make use of the orthogonality relationships of the sine and cosine functions. The computation and study of ...
- Fourier, Baron Jean Baptiste Joseph 1768-1830. French mathematician and physicist who formulated a method for analyzing periodic functions and studied the conduction of heat. Fourier (ˈfʊərɪˌeɪ; French furje) n 1. (Biography) (François Marie ...
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