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Fourier Series Formalization in ACL2(r) [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
We formalize some basic properties of Fourier series in the logic of ACL2(r), which is a variant of ACL2 that supports reasoning about the real and complex numbers by way of non-standard analysis.
Cuong K. Chau   +2 more
doaj   +6 more sources

Statistical inference on nonparametric regression model with approximation of Fourier series function: Estimation and hypothesis testing [PDF]

open access: yesMethodsX
Nonparametric regression is an approximation method in regression analysis that is not constrained by the assumption of knowing the regression curve. One of the functions to approximate the curve is a Fourier series function. The nonparametric regression
Mustain Ramli   +2 more
doaj   +2 more sources

The minimality of mean square error in chirp approximation using fractional fourier series and fractional fourier transform [PDF]

open access: yesScientific Reports, 2022
Chirps are familiar in nature, have a built-in resistance to noise and interference, and are connected to a wide range of highly oscillatory processes.
Omar T. Bafakeeh   +9 more
doaj   +2 more sources

On Fourier series

open access: yesJournal of Numerical Analysis and Approximation Theory, 1976
Not available.
G.P. Névai
doaj   +4 more sources

On the convergence of Fourier series [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
We define the space Bp={f:(−π,π]→R,   f(t)=∑n=0∞cnbn(t),   ∑n=0∞|cn|
Geraldo Soares de Souza
doaj   +2 more sources

On Fourier Series of Fuzzy-Valued Functions [PDF]

open access: yesThe Scientific World Journal, 2014
Fourier analysis is a powerful tool for many problems, and especially for solving various differential equations of interest in science and engineering.
Uğur Kadak, Feyzi Başar
doaj   +2 more sources

On double Fourier series [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1950
Gen-ichirô Sunouchi
openalex   +3 more sources

Sobre séries de Fourier [PDF]

open access: yesCQD Revista Eletrônica Paulista de Matemática, 2016
O objetivo principal deste trabalho é apresentar alguns pontos importantes da teoria da Análise de Fourier. Na primeira seção descrevemos a trajetória de Fourier, um dos matemáticos mais citados do século XX. A seção seguinte introduz a Série de Fourier
Felipe Felix Souto, Marta Cilene Gadotti
doaj   +2 more sources

A Didactic and Visual Approach to the Fourier Transform

open access: yesRevista Brasileira de Ensino de Física, 2023
This work provides a comprehensive derivation of the Fourier transform, with less emphasis on the mathematical rigor associated with the theory. Instead, its primary goal is to serve as a didactic resource that fosters an understanding of various ...
Daniel José Kmita   +1 more
doaj   +1 more source

Fourier's Series [PDF]

open access: yesNature, 1898
I SHOULD like to add a few words concerning the subject of Prof. Michelson's letter in NATURE of October 6. In the only reply which I have seen (NATURE, October 13), the point of view of Prof. Michelson is hardly considered.
  +9 more sources

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