Results 51 to 60 of about 48,781 (279)

A bifurcation analysis on a nonlocal overdetermined problem

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study an overdetermined problem with Kirchhoff type nonlocal terms related to the celebrated work by Serrin. We obtain the precise number of solutions according to the value of the bifurcation parameter and study asymptotics of ...
Kazuki Sato, Futoshi Takahashi
doaj   +1 more source

Models of multiparameter bifurcation problems for the fourth order ordinary differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider the problem of computing the bifurcating solutions of nonlinear eigenvalue problem for an ordinary differential equation of the fourth order, describing the divergence of the elongated plate in a supersonic gas flow, compressing (extending) by
Tat'yana E Badokina
doaj   +1 more source

Crystallization of random trigonometric polynomials

, 2006
We give a precise measure of the rate at which repeated differentiation of a random trigonometric polynomial causes the roots of the function to approach equal spacing. This can be viewed as a toy model of crystallization in one dimension.
D. W. Farmer, David W. Farmer, E. Bogomolny, J. E. A. Dunnage, M. Kac, Mark Yerrington, S. O. Rice   +6 more
core   +1 more source

Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films

Advanced Functional Materials, EarlyView.
The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram, Sophie Meißner, Stephan Kümmel   +2 more
wiley   +1 more source

Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves

Complex Manifolds, 2017
We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ \ {0,1}. The cases of other
Dong Robert Xin
doaj   +1 more source

Asymptotic and Pseudoholomorphic Solutions of Singularly Perturbed Differential and Integral Equations in the Lomov’s Regularization Method

Axioms, 2019
We consider a singularly perturbed integral equation with weakly and rapidly varying kernels. The work is a continuation of the studies carried out previously, but these were focused solely on rapidly changing kernels.
Abduhafiz Bobodzhanov, Valeriy Safonov, Vasiliy Kachalov   +2 more
doaj   +1 more source

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

Advanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source

Asymptotic Precision Corrections to Radiation Reaction

, 2018
The radiative correction to the equation of motion for a moving charged particle is one of the oldest open problems in physics. The problem originates in the emission of radiation by an accelerated charge, which must result in a loss of energy and recoil of the charge, adding a correction to the well-known Lorentz force.
Sheffer, Yarden, Hadad, Yaron, Lynch, Morgan H., Wong, Liang Jie, Kaminer, Ido   +4 more
openaire   +2 more sources

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source

Calculation of Precise Constants in a Probability Model of Zipf’s Law Generation and Asymptotics of Sums of Multinomial Coefficients

International Journal of Mathematics and Mathematical Sciences, 2017
Let ω0,ω1,…,ωn be a full set of outcomes (symbols) and let positive pi, i=0,…,n, be their probabilities (∑i=0npi=1). Let us treat ω0 as a stop symbol; it can occur in sequences of symbols (we call them words) only once, at the very end.
Vladimir Bochkarev, Eduard Lerner
doaj   +1 more source