Results 121 to 130 of about 2,413 (304)

Differential and Integral Equations Involving Multivariate Special Polynomials with Applications in Computer Modeling

Fractal and Fractional
This work introduces a new family of multivariate hybrid special polynomials, motivated by their growing relevance in mathematical modeling, physics, and engineering.
Mohra Zayed, Taghreed Alqurashi, Shahid Ahmad Wani, Dixon Salcedo, Mohammad Esmael Samei   +4 more
doaj   +1 more source

A partial factorization of the powersum formula

International Journal of Mathematics and Mathematical Sciences, 2004
For any univariate polynomial P whose coefficients lie in an ordinary differential field 𝔽 of characteristic zero, and for any constant indeterminate α, there exists a nonunique nonzero linear ordinary differential operator ℜ of finite order such that ...
John Michael Nahay
doaj   +1 more source

Cornus Mas L. Seed‐Derived Biosorbent for Methylene Blue Removal: Surface Characterization and Biosorption Performance

Advanced Materials Interfaces, EarlyView.
Cornus mas L. seeds are transformed into a high‐performance biosorbent through chemical modification, effectively removing methylene blue from aqueous solutions. Comprehensive characterization and optimization reveal a maximum biosorption capacity of 71.71 mg g−1, establishing this sustainable, cost‐effective material as a promising solution for ...
Hakan Yıldız, Adem Necip, Arslan Yusuf Yüksel   +2 more
wiley   +1 more source

Differential Equation of Appell Polynomials Via the Factorization Method [PDF]

, 2002
Let {Pn(x)}∞n=0 be a sequence of polynomials of degree n. We define two sequences of differential operators Φn and Ψn satisfying the following properties: By constructing these two operators for Appell polynomials, we determine their differential ...
He, Matthew, Ricci, P.E., Ricci, Paolo E., He, M.X.   +3 more
core   +2 more sources

A Hybrid Computational Framework for PCF‐based SPR Sensor With Machine Learning and xAI

Advanced Materials Interfaces, EarlyView.
A photonic crystal fiber‐based surface plasmon resonance (SPR) sensor integrating rectangular air holes along with conventional circular air holes achieves exceptional wavelength sensitivity of 15,000 nm/RIU across a broad refractive index range of 1.31–1.39. Integrated machine learning with explainable AI (xAI) models achieves high prediction accuracy
Mahabur Rahman Fahim, Sudeep Paul, Musrat Jahan, Md Abu Shahid Chowdhury   +3 more
wiley   +1 more source

On factorization of generalized Macdonald polynomials [PDF]

, 2016
A remarkable feature of Schur functions—the common eigenfunctions of cut-and-join operators from $$W_\infty $$—is that they factorize at the peculiar two-parametric topological locus in the space of time variables, which is known as the hook formula for ...
Ya. Kononov, A. Morozov
core   +1 more source

Smart and Sustainable Sizing: Investigating the Sensing Behavior of Glass Fabrics Coated With Waterborne Polyurethane/Graphene Dispersions

Advanced Materials Technologies, EarlyView.
Waterborne polyurethane/graphene formulations are developed as piezoresistive coatings on glass fabric to enable flexible strain sensing. The graphene‐enabled conductive network provides a stable electromechanical response under cyclic compression. The coating demonstrates reliable pressure‐dependent resistance changes, highlighting its potential for ...
Vishnu Vijayan Pillai, Premika Govindaraj, Sai Aditya Pradeep, Olivia Sequerth, Srikanth Pilla, Franz Konstantin Fuss, Peter Kingshott, Nishar Hameed, Nisa V Salim   +8 more
wiley   +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

The Influence of Mesoscale Particle Structure on the Electrode Degradation and Resultant Electrochemistry of Lithium Ion Cells With Nickel Rich Lithium Nickel Manganese Cobalt Oxide Positive Electrodes

Advanced Materials Technologies, EarlyView.
Milled polycrystalline NMC811 cathode (MPC NMC) with smaller secondary particle and higher surface area had 1) greater cathode tortuosity, 2) reduced surface Ni on the cycled MPC cathodes consistent with surface reconstruction, and 3) increased Ni deposition from cathode‐anode crosstalk, manifesting in lower functional capacity and higher impedance ...
Edelmy J. Marin Bernardez, Andrew Nicoll, David J. Arnot, Armando Rodriguez Campos, Patrick J. Barry, Marie F. Millares, Cynthia Huang, Melissa A. Guercio, Grace K. Dono, Alexis Pace, Xianghui Xiao, Cherno Jaye, Conan Weiland, Jianming Bai, Hui Zhong, Michael Drakopoulos, Zhong Zhong, Nghia T. Vo, Xiao Tong, Esther S. Takeuchi, Amy C. Marschilok, Shan Yan, Kenneth J. Takeuchi   +22 more
wiley   +1 more source

Factoring a Graph in Polynomial Time

European Journal of Combinatorics, 1987
The Cartesian product \(G\times H\) of graphs G and H has vertices (g,h) where g is a vertex in G and h a vertex in H. Two vertices of \(G\times H\), say \((g_ 1,h_ 1)\) and \((g_ 2,h_ 2)\), are connected by an edge in \(G\times H\), just when either \(\{g_ 1,g_ 2\}\) is an edge of G and \(h_ 1=h_ 2\), or when \(g_ 1=g_ 2\) and \(\{h_ 1,h_ 2\}\) is an ...
openaire   +1 more source