Results 131 to 140 of about 9,252,756 (359)

Application of the Variational Iteration Method to Strongly Nonlinear 𝑞-Difference Equations

Journal of Applied Mathematics, 2012
The theory of approximate solution lacks development in the area of nonlinear 𝑞-difference equations. One of the difficulties in developing a theory of series solutions for the homogeneous equations on time scales is that formulas for multiplication of ...
Hsuan-Ku Liu
doaj   +1 more source

Characterization of Droplet Formation in Ultrasonic Spray Coating: Influence of Ink Formulation Using Phase Doppler Anemometry and Machine Learning

Advanced Materials Technologies, EarlyView.
This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding, Danny E. P. Vanpoucke, Yunus T. Aksoy, Tobias Corthouts, Maria R. Vetrano, Wim Deferme   +5 more
wiley   +1 more source

Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Applied Mathematics in Science and Engineering
This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj   +1 more source

Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers [PDF]

, 2021
Bruno Eijsvoogel, Lucía Morey, Pablo Román   +2 more
openalex   +1 more source

Self‐Assembly of a Tripodal Terpyridine Based Ligand with Luminescent Lanthanide Ions in Solution and Soft Material

Advanced Optical Materials, Volume 13, Issue 8, March 13, 2025.
The tripodal terpyridine‐1,3,5‐benzene tricarboxamide (BTA) ligand 1 is employed in the self‐assembly formation of novel luminescent materials using a range of lanthanide ions. In the polar protic solution, the results from the photophysical measurements are assessed using nonlinear regression analysis, while the functional material properties of the ...
Jason M. Delente, Oxana Kotova, Niamh Willis‐Fox, John E. O'Brien, Brendan Twamley, Ronan Daly, Thorfinnur Gunnlaugsson   +6 more
wiley   +1 more source

Phase Topology Stability of an Optical Vortex via an Electrically Controlled Twist‐Planar Oriented Liquid Crystal Fresnel Lens

Advanced Optical Materials, EarlyView.
A simple and efficient method for determining the stability of optical vortices via Fourier transform using a conventional spherical lens is presented. The theoretical and experimental results demonstrate a practical approach to directly and unambiguously measure the magnitude and sign of the topological charge of a beam without altering an ...
Elena Melnikova, Katsiaryna Pantsialeyeva, Dmitry Gorbach, Alexei Tolstik, Sergei Slussarenko Jr., Alina Karabchevsky   +5 more
wiley   +1 more source

Photonics of Topological Magnetic Textures

Advanced Optical Materials, EarlyView.
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri, Ramaz Khomeriki, Daniel Erni, Nicolas Tsagareli, Qian Li, Douglas H. Werner, Jamal Berakdar   +6 more
wiley   +1 more source

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Entire functions that share a small function with their linear difference polynomial

, 2021
Minghui Zhang, Jianbin Xiao, Mingliang Fang   +2 more
openalex   +1 more source

Enhanced Trapping with an Optimized Graphene‐Based Bowtie Plasmonic Nanotweezer: Design, Analysis, and Bioanalytical Applications

Advanced Photonics Research, EarlyView.
A graphene‐based bowtie plasmonic nanotweezer is designed and optimized using particle swarm optimization and transfer matrix analysis. The structure achieves strong field confinement, delivering trapping forces up to 6 nN W−1 for 10 nm bioparticles with sixfold lower power requirements than conventional designs.
Saba Ebrahimpanah, Mohammad Hazhir Mozaffari, Ali Farmani   +2 more
wiley   +1 more source