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Fourier Series Formalization in ACL2(r) [PDF]
Electronic 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
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Fourier series of higher-order Bernoulli functions and their applications. [PDF]
J Inequal Appl, 2017 In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them.
Kim T, Kim DS, Rim SH, Dolgy DV.
europepmc +2 more sources
Statistical inference on nonparametric regression model with approximation of Fourier series function: Estimation and hypothesis testing [PDF]
MethodsXNonparametric 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]
Scientific 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
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On Fourier Series of Fuzzy-Valued Functions [PDF]
The 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
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Journal of Numerical Analysis and Approximation Theory, 1976 Not available.
G.P. Névai
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The determination of parameters in crystal structures by means of Fourier series
, 1929 The Fourier representation of the results of X-ray analysis was first suggested by W. H. Bragg. It was developed independently by Duane, and used by Havighurst and Compton to give striking representations of the distribution of scattering matter in ...
W. L. Bragg
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Multidimensional Fourier series with quantum circuits [PDF]
Physical Review A, 2023 Quantum machine learning is the field that aims to integrate machine learning with quantum computation. In recent years, the field has emerged as an active research area with the potential to bring new insights to classical machine learning problems. One
Berta Casas, Alba Cervera-Lierta
semanticscholar +1 more source
Seeing Implicit Neural Representations as Fourier Series [PDF]
IEEE Workshop/Winter Conference on Applications of Computer Vision, 2021 Implicit Neural Representations (INR) use multilayer perceptrons to represent high-frequency functions in low-dimensional problem domains. Recently these representations achieved state-of-the-art results on tasks related to complex 3D objects and scenes.
Nuri Benbarka +3 more
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