Results 31 to 40 of about 1,880,861 (238)

Approximation of irrationals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
The author uses a new modification of Jacobi-Perron Algorithm which holds for complex fields of any degree (abbr. ACF), and defines it as Generalized Euclidean Algorithm (abbr. GEA) to approximate irrationals.
Malvina Baica
doaj   +1 more source

Topology and Polarization of Optical Vortex Fields from Atomic Phased Arrays

open access: yesApplied Sciences, 2023
We developed a theoretical formalism for the generation of optical vortices by phased arrays of atoms. Using the Jacobi–Anger expansion, we demonstrated the resulting field topology and determined the least number of individual atoms necessary for the ...
Hao Wang, Andrei Afanasev
doaj   +1 more source

Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition

open access: yesComplexity, 2020
Additive eigenvalue problem appears in ergodic optimal control or the homogenization of Hamilton–Jacobi equations. It has wide applications in several fields including computer science and then attracts the attention.
Hongmei Li, Peihe Wang
doaj   +1 more source

New traveling wave solutions and dynamic behavior analysis of the nonlinear Rangwala–Rao model

open access: yesResults in Physics, 2023
This work investigates the nonlinear Rangwala–Rao equation, which stems from the mixed derivative nonlinear Schrödinger equation. For retrieving new exact solutions to the equation, the complete discriminant system for polynomial method is employed.
Chen Peng, Zhao Li
doaj   +1 more source

Deriving spin-1 quartic interaction vertices from closure of the Poincaré algebra

open access: yesNuclear Physics B, 2018
We derive the quartic interaction vertex of pure Yang–Mills theory by demanding closure of the light-cone Poincaré algebra in four-dimensional Minkowski spacetime. This calculation explicitly shows why structure constants must satisfy the Jacobi identity.
Sudarshan Ananth   +3 more
doaj   +1 more source

A comparison theorem on magnetic jacobi fields [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1997
A scalar multiple of the Kähler form of a Kähler manifold is called a Kähler magnetic field. We are focused on trajectories of charged particles under this action. As a variation of trajectories we define a magnetic Jacobi field. In this paper we discuss a comparison theorem on magnetic Jacobi fields, which corresponds to the Rauch's comparison theorem.
openaire   +2 more sources

Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective

open access: yesAdvanced Electronic Materials, EarlyView.
Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe   +4 more
wiley   +1 more source

Multiscale Analysis of Amine‐Containing CO2 Capture Membrane via Dissipative Particle Dynamics Simulations Using Ab Initio Elongation Method‐Based Parameters

open access: yesCarbon Energy, EarlyView.
Elongation (ELG) method for calculating the electronic structures of aperiodic polymers was combined with dissipative particle dynamics (DPD) simulation to perform more reliable simulations using quantum chemistry (QC)‐based parameters. The method was employed to analyze phase separation in an amine‐containing CO2 capture membrane, and the results ...
Yuuichi Orimoto, Yuriko Aoki
wiley   +1 more source

Dynamic geo‐hydrogeological monitoring‐driven situational awareness for real‐time floor water inrush risk prediction in deep mining

open access: yesDeep Underground Science and Engineering, EarlyView.
The fused data extracted from the distributed monitoring system as the data basis, combined with dynamic geological data, are imported into a deep learning model. As the geological conditions of mining and excavation change, the risk of water inrush at the working face is retrieved in real time.
Yongjie Li   +4 more
wiley   +1 more source

Symplectic tracking through straight three dimensional fields by a method of generating functions

open access: yesPhysical Review Accelerators and Beams, 2016
For simulating single-particle trajectories, the derivation of final coordinates from known initial coordinates through arbitrary electromagnetic fields is of key interest in accelerator physics.
M. Titze, J. Bahrdt, G. Wüstefeld
doaj   +1 more source

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