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- This is a '''list of things named after Joseph Fourier''': *[[Budan–Fourier theorem]], see [[Budan's theorem]] ...2 KB (293 words) - 12:51, 21 February 2023
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- This is a '''list of things named after Joseph Fourier''': *[[Budan–Fourier theorem]], see [[Budan's theorem]] ...2 KB (293 words) - 12:51, 21 February 2023
- {{Short description|Special cases of the Fourier series}} ...and cosine series''' are two [[mathematical series]] named after [[Joseph Fourier]]. ...2 KB (378 words) - 14:17, 2 November 2024
- ...ntury and has been referred to as '''Fourier's''', '''Budan–Fourier''', '''Fourier–Budan''', and even Budan's theorem. ...used. For Budan's theorem, it is the sequence of the coefficients. For the Fourier's theorem, it is the sequence of values of the successive derivatives at a ...15 KB (2,567 words) - 07:14, 27 January 2025
- ...005>{{cite book |first=Joseph|last=Goodman|year=2005|title=Introduction to Fourier Optics|edition=3rd|publisher=Roberts & Co Publishers|isbn=0-9747077-2-4}}</ ...unction is also directly related to the [[point spread function]] by its [[Fourier transform]]. As such, the effect of aberrations on the point spread functio ...5 KB (820 words) - 01:03, 3 February 2022
- ...s the benefit of a separable Fourier kernel. The existence of a separable Fourier kernel for a hexagonally sampled image allows the use of existing FFT routi ===Hexagonal discrete Fourier transform=== ...8 KB (1,365 words) - 02:08, 27 November 2020
- ...ess when the divisor has more than two digits. It was invented by [[Joseph Fourier]]. ...3 KB (527 words) - 08:07, 10 May 2024
- ...sed in the 18th century by mathematicians such as [[Leonhard Euler]] and [[Joseph-Louis Lagrange]],<ref name=Jahnke>{{citation|title=A history of analysis|fi ...erm gives ({{EquationNote|1}}), an identity which is known to be true by [[Fourier analysis]]. ...3 KB (382 words) - 17:03, 10 April 2024
- ...|linear theory]]. In this regime, the density contrast field is Gaussian, Fourier modes evolve independently, and the power spectrum is sufficient to complet The power spectrum is most commonly understood as the Fourier transform of the [[two-point correlation function|autocorrelation function] ...8 KB (1,162 words) - 13:59, 14 April 2024
- '''Alexander Joseph Nagel''' (born 13 September 1945 in [[New York City]]) is an [[Americans|Am ...homology in Banach Algebras''.<ref>{{MathGenealogy|id=9273|title=Alexander Joseph Nagel}}</ref> At the [[University of Wisconsin, Madison]], Nagel was from 1 ...7 KB (887 words) - 08:01, 6 May 2024
- ...es [[diffraction]] of wave propagation between two fields. It belongs to [[Fourier optics]] rather than [[geometric optics]]. The disturbance of diffraction ...sform, [[Joseph von Fraunhofer|Fraunhofer]] transform and the [[fractional Fourier transform]]. It can be easily controlled by its four parameters, ''a'', ''b ...6 KB (940 words) - 00:10, 4 May 2023
- Heat conduction in a Newtonian context is modelled by the [[heat equation|Fourier equation]],<ref>{{Cite book |first1=H. S. |last1=Carslaw |first2=J. C. |las This Fourier equation can be derived by substituting Fourier’s linear approximation of the heat flux vector, '''''q''''', as a function ...10 KB (1,312 words) - 09:41, 10 October 2024
- ...p://scienceworld.wolfram.com/biography/Fraunhofer.html | title=Fraunhofer, Joseph von (1787-1826) -- from Eric Weisstein's World of Scientific Biography}}</r It can be seen that the integral in the above equations is the [[Fourier transform]] of the aperture function evaluated at frequencies.<ref>{{harvnb ...34 KB (5,389 words) - 19:53, 26 February 2025
- ...built his result by analogy with the [[heat transfer]] theory of [[Joseph Fourier]] (the transmission of an electrical step down a line is analogous to sudde ...p. 13</ref> This kind of analysis, using the [[frequency domain]] with [[Fourier analysis]] rather than the [[time domain]], was unknown to telegraph engine ...10 KB (1,430 words) - 21:40, 3 February 2025
- ===Separable Fourier kernel=== ...ys be of size <math>n\times m</math>. Let <math>X(b, s, d)</math> be the [[Fourier transform]] of ''x.'' The HDFT equation for the forward transform is g ...14 KB (1,974 words) - 12:38, 1 July 2024
- ...Scientific Research#Employment|Directeur de Recherches]]" at the Institute Fourier in [[Grenoble]]. He is the younger brother of [[Fields Medal]]ist [[Laurent ...one of only three French mathematicians to win two gold medals (besides [[Joseph Najnudel]], 1997–98, and [[Aurélien Fourré]], 2020-21).<ref>{{IMO results | ...5 KB (573 words) - 05:55, 27 September 2024
- ...in this equation becomes <math>Y(f) = H(f)X(f)</math>, where Y(f) is the [[Fourier transform]] of y(t) and H(f) is the linear system [[transfer function]]. Si ...9 KB (1,467 words) - 20:39, 17 July 2024
- ...enkin-Ramirez formulas with weight factors | journal=Annales de l'Institut Fourier | publisher=Cellule MathDoc/CEDRAM | volume=32 | issue=3 | year=1982 | issn ...<math>L^2</math> methods that had been introduced by [[Lars Hörmander]], [[Joseph J. Kohn]] and others in the 1960s and he modified these methods to obtain u ...6 KB (764 words) - 10:04, 3 February 2025
- ===Fourier transform=== The Alesker-Fourier transform is a natural, <math>GL(V)</math>-equivariant isomorphism of compl ...34 KB (5,365 words) - 15:23, 25 February 2025
- ...r expansions into both the multiple Fourier integral and the trigonometric Fourier series. ...theorem on equiconvergence of spectral expansion with the expansion into a Fourier integral for the case when the expansion itself has no uniform convergence. ...13 KB (1,777 words) - 22:27, 7 February 2025
- ...of Pauli matrices|'''clock-and-shift''']] operators introduced by [[James Joseph Sylvester|J. J. Sylvester]] (1882),<ref>{{citation | last=Sylvester | first ...I''' (1884) 7–9. Summarized in ''The Collected Mathematics Papers of James Joseph Sylvester'' (Cambridge University Press, 1909) v '''III''' . ...13 KB (1,723 words) - 02:51, 10 October 2024