Concept
Fonction elliptique
Publications associées (60)
On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros
Recently, we have applied the generalized Littlewood theorem concerning contour integrals of the logarithm of the analytical function to find the sums over inverse powers of zeros for the incomplete gamma and Riemann zeta functions, polygamma functions, an ...
MDPI2024WeChat as an unavoidable research tool for fieldwork, and its problems
I did not use WeChat as my main method or main source of materials, but I realized that during my fieldwork in China, I did use WeChat very often to help me collect data, and I see the potential of using WeChat as an increasingly important method for furth ...
2022An elementary treatment on the diffraction of crystalline structures
Although W. L. Bragg's law can be easily derived for beginners in the field of crystallography, its interpretation however seems to cause some difficulties which lies essentially in the relation between the concept of lattice planes and the unit cell const ...
2022Extrapolation and Spectral Bias of Neural Nets with Hadamard Product: a Polynomial Net Study
Volkan Cevher, Grigorios Chrysos, Fanghui Liu, Zhenyu Zhu, Yongtao Wu
Neural tangent kernel (NTK) is a powerful tool to analyze training dynamics of neural networks and their generalization bounds. The study on NTK has been devoted to typical neural network architectures, but it is incomplete for neural networks with Hadamar ...
2022Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure
Luis Guillermo Villanueva Torrijo, Seniz Esra Küçük, Soumya Yandrapalli, Victor Plessky
Dispersion of A1 Lamb mode near onset frequency is discussed. This mode is close to that used in XBAR devices. The typically used approximation is based on elliptic form of slowness curve and ignoring mode interaction is not valid for widely used materials ...
IEEE2021Generalized and Reduced Analytical Formulation for Ultra-Fast 3-D Field and Vector Potential Calculation From Arch-Shaped Axially Magnetized Bodies in Electrical Machines
Basile Kawkabani, Frédéric Michael Maurer
Arch-shaped axially magnetized bodies tend to appear frequently in electrical machine analysis such as in the overhang parts of the classical radial-flux machines as well as in the main parts of the axial-flux machines. The calculation of the 3-D fields or ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020A conformal dispersion relation: correlations from absorption
We introduce the analog of Kramers-Kronig dispersion relations for correlators of four scalar operators in an arbitrary conformal field theory. The correlator is expressed as an integral over its "absorptive part", defined as a double discontinuity, times ...
2020A partially self-regenerating synthetic cell
Sebastian Maerkl, Barbora Lavickova, Nadanai Laohakunakorn
Self-regeneration is a fundamental function of all living systems. Here we demonstrate partial molecular self-regeneration in a synthetic cell. By implementing a minimal transcription-translation system within microfluidic reactors, the system is able to r ...
NATURE RESEARCH2020A Bayesian numerical homogenization method for elliptic multiscale inverse problems
Assyr Abdulle, Andrea Di Blasio
A new strategy based on numerical homogenization and Bayesian techniques for solving multiscale inverse problems is introduced. We consider a class of elliptic problems which vary at a microscopic scale, and we aim at recovering the highly oscillatory tens ...
2020Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
This paper presents two new approaches for finding the homogenized coefficients of multiscale elliptic PDEs. Standard approaches for computing the homogenized coefficients sufer from the so-called resonance error, originating from a mismatch between the tr ...
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