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Fourier Series Formalization in ACL2(r) [PDF]
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
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Statistical inference on nonparametric regression model with approximation of Fourier series function: Estimation and hypothesis testing [PDF]
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
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The minimality of mean square error in chirp approximation using fractional fourier series and fractional fourier transform [PDF]
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
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Not available.
G.P. Névai
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On the convergence of Fourier series [PDF]
We define the space Bp={f:(−π,π]→R, f(t)=∑n=0∞cnbn(t), ∑n=0∞|cn|
Geraldo Soares de Souza
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On Fourier Series of Fuzzy-Valued Functions [PDF]
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
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On double Fourier series [PDF]
Gen-ichirô Sunouchi
openalex +3 more sources
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
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A Didactic and Visual Approach to the Fourier Transform
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
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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.
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