Results 41 to 50 of about 4,708,954 (364)
On uniform convergence of Fourier series
, 2012 We consider the space $U(\mathbb T)$ of all continuous functions on the circle $\mathbb T$ with uniformly convergent Fourier series. We show that if $\varphi: \mathbb T\rightarrow\mathbb T$ is a continuous piecewise linear but not linear map, then $\|e ...
A. Beurling +5 more
core +1 more source
International Journal of Adaptive Control and Signal Processing, EarlyView.Workflow of the parameter optimization process for ITSC fault detection, applying Differential Evolution optimization and the Smooth Pseudo Wigner‐Ville Distribution for signal processing. The optimized parameters are then used in the failure identification pipeline, which combines the signal processing with a YOLO‐based architecture for fault severity
Rafael Martini Silva +4 more
wiley +1 more source
On the convergence of Fourier series
International 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 +1 more source
A Fourier Series Approximation for Deep-water Waves
한국해양공학회지, 2022 Dean (1965) proposed the use of the root mean square error (RMSE) in the dynamic free surface boundary condition (DFSBC) and kinematic free-surface boundary condition (KFSBC) as an error evaluation criterion for wave theories.
JangRyong Shin
doaj +1 more source
The reciprocal of a Fourier series [PDF]
Proceedings of the American Mathematical Society, 1962 Edrei and Szego5 [1] have posed the following problem: Giiven the Foiurier coefficients of a function G(x) find the Fourier coe/ftcients of the reciprocal of the function without actually evaluating G(x). They were able to solve this problem in the case that G(x) ?0.
openaire +2 more sources
Abel Summation of Ramanujan-Fourier Series [PDF]
, 2015 Using Abel summation the paper proves a weak form of the Wiener-Khinchin formula for arithmetic functions with point-wise convergent Ramanujan-Fourier expansions.
Washburn, John
core
Advanced Engineering Materials, Volume 27, Issue 6, March 2025.ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur +5 more
wiley +1 more source
Fourier series of atomic radial distribution functions: A molecular fingerprint for machine learning models of quantum chemical properties [PDF]
, 2013 We introduce a fingerprint representation of molecules based on a Fourier series of atomic radial distribution functions. This fingerprint is unique (except for chirality), continuous, and differentiable with respect to atomic coordinates and nuclear ...
O. V. Lilienfeld +3 more
semanticscholar +1 more source
Multifractal behavior of polynomial Fourier series [PDF]
, 2012 We prove non-trivial upper and lower bounds for the "Spectrum of Singularities" of Fourier Series with polynomial frequencies. The Spectrum of Singularities of a function f gives the Hausdorff dimension of the set of points with a given H\"older exponent
Chamizo, Fernando, Ubis, Adrián
core
Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.A high‐performance n‐type element for quasi‐solid‐state thermocells has been introduced, outperforming conventional p‐type elements and showcasing the potential to harness body heat as an energy source or power embedded sensors. This advance significantly contributes to waste thermal energy harvesting and wearable technology, paving the way for self ...
Gilyong Shin +10 more
wiley +1 more source