Concept

Théorie analytique des nombres

Publications associées (97)

Small-argument analytical expressions for the calculation of the ground-return impedance and admittance of underground cables

This paper proposes small-argument approximations for two closed-form equations that were recently derived for the calculation of the ground-return impedance and admittance of underground cables. The proposed expressions are shown to be accurate up to 1 MH ...

ELSEVIER SCIENCE SA2023

On the Double Descent of Random Features Models Trained with SGD

Volkan Cevher, Fanghui Liu

We study generalization properties of random features (RF) regression in high dimensions optimized by stochastic gradient descent (SGD) in under-/overparameterized regime. In this work, we derive precise non-asymptotic error bounds of RF regression under b ...

2022

A Myriad of Exceptions? Challenging the Sonata-Form Typology for the Classical Repertoire

Markus Franz Josef Neuwirth

Present-day sonata theory scholarship increasingly draws on a typology of sonata forms that consists of five interrelated types, placing particular emphasis on the double return and thematic rotation. The present article aims at scrutinising a variety of f ...

WILEY2022

High energy barriers for edge dislocation motion in body-centered cubic high entropy alloys

William Curtin, Recep Ekin Kubilay, Francesco Maresca, Alireza Ghafarollahi

Recent theory proposes that edge dislocations in random body-centered cubic (BCC) high entropy alloys have high barriers for motion, conveying high strengths up to high temperatures. Here, the energy barriers for edge motion are computed for two model allo ...

NATURE RESEARCH2021

Time-Synchronization Attack Detection in Unbalanced Three-Phase Systems

Jean-Yves Le Boudec, Mario Paolone, Marguerite Marie Nathalie Delcourt, Gyorgy Miklos Dan

Phasor measurement units (PMU) rely on an accurate time-synchronization to phase-align the phasors and timestamp the voltage and current phasor measurements. Among the symmetrical components computed from the phasors in three-phase systems, the standard pr ...

2021

On the Initiation of Upward Negative Lightning by Nearby Lightning Activity: An Analytical Approach

Marcos Rubinstein, Antonio Sunjerga

Upward lightning occurs generally from tall structures. The mechanism of the initiation of upward lightning is not yet fully understood. Upward lightning can be classified into two categories based on either the absence or the presence of other lightning a ...

2021

Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions

Florian Karl Richter

We establish two ergodic theorems which have among their corollaries numerous classical results from multiplicative number theory, including the Prime Number Theorem, a theorem of Pillai-Selberg, a theorem of Erd\H{o}s-Delange, the mean value theorem of Wi ...

2020

Generalized 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 INC2020

Imaging Catalysis: Operando Investigation of the CO2 Hydrogenation Reaction Dynamics by Means of Infrared Thermography

Andreas Züttel, Emad Oveisi, Emanuele Moioli, Kun Zhao, Robin Tobias Andreas Mutschler

Infrared thermography is a powerful tool to investigate the dynamic evolution of temperature in chemical reactions. The CO2 hydrogenation reaction is an ideal model reaction to assess the presented technique due to its high exothermicity. Various dynamic e ...

AMER CHEMICAL SOC2020

Rate of change of frequency under line contingencies in high voltage electric power networks with uncertainties

Philippe René Joseph Jacquod, Robin Delabays

In modern electric power networks with fast evolving operational conditions, assessing the impact of contingencies is becoming more and more crucial. Contingencies of interest can be roughly classified into nodal power disturbances and line faults. Despite ...

2019

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