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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.
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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
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FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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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
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, 2019 The theoretical model for description of mutual interlacing of threads in multifilament woven fabric structure using Fourier series derived from plain woven structure has been validated in this work with experimental results. The internal geometry of the
Kolčavová Sirková, Brigita +1 more
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Comparative assessment of crystallographic and cryo‐EM models in the Protein Data Bank
FEBS Open Bio, EarlyView.Raw data obtained by X‐ray crystallography or cryo‐EM result in experimental maps, ultimately fitted by atomic models. Although the physical principles are different, the final results can be viewed, compared, and evaluated in the same way. With cryogenic electron microscopy (cryo‐EM) on track to surpass X‐ray crystallography as the preferred method ...
Alexander Wlodawer +7 more
wiley +1 more source
Estimation of missing data in a geophysical series of precipitation
, 2021 The analysis of dynamic systems is a topic of great interest in the basic sciences since it allows direct inference of the behavior of different systems. The study of physical phenomena provides large databases that, if recorded at regular time intervals,
GALLARDO PÉREZ, HENRY DE JESÚS +2 more
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Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif +17 more
wiley +1 more source
dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source