Results 41 to 50 of about 6,757 (143)
The collapse of the local, Spitzer-Haerm formulation and a global-local generalization for heat flow in an inhomogeneous, fully ionized plasma [PDF]
The breakdown of the classical (CBES) field aligned transport relations for electrons in an inhomogeneous, fully ionized plasma as a mathematical issue of radius of convergence is addressed, the finite Knudsen number conditions when CBES results are ...
Olbert, S., Scudder, J. D.
core +1 more source
One‐level densities in families of Grössencharakters associated to CM elliptic curves
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley +1 more source
A Simple Expansion‐Based HPM for Cubic–Quintic Damped Nonlinear Oscillator
In the present article, a new amplitude expansion–based homotopy perturbation method (AE‐HPM) is used to study the nonlinear behavior of a damped oscillator. The traditional homotopy perturbation method is extended, considering a simple amplitude expansion to determine the solution and amplitude frequency relationship for the damped nonlinear system ...
Nazmul Sharif, Kartik Ariyur
wiley +1 more source
Boolean derivatives and computation of cellular automata
The derivatives of a Boolean function are defined up to any order. The Taylor and MacLaurin expansions of a Boolean function are thus obtained. The last corresponds to the ring sum expansion (RSE) of a Boolean function, and is a more compact form than ...
Bagnoli, Franco
core +1 more source
Research Progress on Memristors for Compute‐In‐Memory Architectures
The era of artificial intelligence and big data has witnessed an explosive growth in computational demands. The von Neumann architecture faces constraints from the “memory wall” and “power wall” due to its separation of storage and computation. Compute‐in‐memory (CIM) technology has emerged as a key pathway to overcome the von Neumann bottleneck.
Yida Shang +17 more
wiley +1 more source
A convergent expansion of the Airy's integral with incomplete Gamma functions
There are two main power series for the Airy functions, namely the Maclaurin and the asymptotic expansions. The former converges for all finite values of the complex variable, $z$, but it requires a large number of terms for large values of $|z|$, and ...
Alvarez-Perez, Jose Luis
core
Substrate‐Restricted Asymmetric Evolution of Solid‐State Nanopores
Standalone nanopores can either expand or shrink based on the nucleation mechanism. A substrate‐restricted asymmetric pore dynamics are uncovered ‐ top expansion and bottom shrinkage, with minimum aperture reduced and forming a conical geometry, driven by molecular migration along an energy potential gradient within nanopores.
Hongshuai Liu +4 more
wiley +1 more source
This paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and ...
Feng Qi
doaj +1 more source
A Level Set Topology Optimization Theory Based on Hamilton's Principle
ABSTRACT In this article, we propose a unified variational framework for deriving the evolution equation of the level set function in topology optimization, departing from conventional Hamilton–Jacobi‐based formulations. The key idea is the introduction of an auxiliary domain, geometrically identical to the physical design domain, occupied by ...
Jan Oellerich, Takayuki Yamada
wiley +1 more source
Learning Physically Interpretable Atmospheric Models From Data With WSINDy
Abstract The multiscale and turbulent nature of Earth's atmosphere has historically rendered accurate weather modeling a hard problem. Recently, there has been an explosion of interest surrounding data‐driven approaches to weather modeling, which in many cases show improved forecasting accuracy and computational efficiency when compared to traditional ...
Seth Minor +3 more
wiley +1 more source

