Results 71 to 80 of about 48,254 (265)

Recursive Polynomial Sets and Their Some Algebraic Applications

Cumhuriyet Science Journal
This paper primarily defines the framework for a new class of polynomial sets over a finite field GF (2), providing a recursive definition and delving into pertinent algebraic properties.
Hacı Aktaş
doaj   +1 more source

Polynomial Solutions to the Matrix Equation X−AXTB=C

Journal of Applied Mathematics, 2014
Solutions are constructed for the Kalman-Yakubovich-transpose equation X−AXTB=C. The solutions are stated as a polynomial of parameters of the matrix equation. One of the polynomial solutions is expressed by the symmetric operator matrix, controllability
Caiqin Song, Jun-e Feng
doaj   +1 more source

Linear barycentric rational collocation method for solving biharmonic equation

Demonstratio Mathematica, 2022
Two-dimensional biharmonic boundary-value problems are considered by the linear barycentric rational collocation method, and the unknown function is approximated by the barycentric rational polynomial.
Li Jin
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

Squeezed Polynomial Codes: Communication-Efficient Coded Computation in Straggler-Exploiting Distributed Matrix Multiplication

IEEE Access, 2020
In a distributed computing environment, there may exist slow processing workers, which are known as “stragglers”, and they can slow down the whole computing process.
Sangwoo Hong, Heecheol Yang, Jungwoo Lee
doaj   +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

Controlling Ultrafast Photonic‐Plasmonic Coupling in a Hybrid Platform for Biosensing Applications

Advanced Optical Materials, EarlyView.
A metal–dielectric hybrid composed of gold nanocaps on opal exhibits a broad near‐infrared plasmonic resonance interacting with the photonic bandgap under ultrafast transient conditions. This coupling can be controlled by varying the excitation wavelength and is responsive to bacterial deposition, opening new opportunities for ultrafast biosensing ...
Diego Florio, Andrea Chiappini, Laura Pasquardini, Mario Barozzi, Monica Bollani, Salvatore Stagira, Tersilla Virgili   +6 more
wiley   +1 more source

Privacy-preserving verifiable delegation of polynomial and matrix functions

Journal of Mathematical Cryptology, 2020
Outsourcing computation has gained significant popularity in recent years due to the development of cloud computing and mobile services. In a basic outsourcing model, a client delegates computation of a function f on an input x to a server. There are two
Zhang Liang Feng, Safavi-Naini Reihaneh
doaj   +1 more source

Observation of the Differential Goos‐Hänchen Shifts in Wavelength Domain Using a Helical Fiber Grating

Advanced Optical Materials, EarlyView.
Goos‐Hänchen shift (GHS) is a phenomenon in which an optical beam experiences a longitudinal displacement upon total internal reflection. In this work, we experimentally demonstrate an enhanced GHS in the wavelength domain using a helical fiber grating (HFG).
Zhang Meng, Yuto Kotani, Naoto Murata, Pawel Pogorzelski, Reza Abdi‐Ghaleh, Peng Wang, Hua Zhao, Hongpu Li   +7 more
wiley   +1 more source

Determinantal polynomials and the base polynomial of a square matrix over a finite field [PDF]

Arab Journal of Mathematical Sciences
Purpose – The author studies forms over finite fields obtained as the determinant of Hermitian matrices and use these determinatal forms to define and study the base polynomial of a square matrix over a finite field.
Edoardo Ballico
doaj   +1 more source