Results 111 to 120 of about 3,729,724 (366)
Model Order Selection From Noisy Polynomial Data Without Using Any Polynomial Coefficients
IEEE Access, 2020 Given a set of noisy data values from a polynomial, determining the degree and coefficients of the polynomial is a problem of polynomial regressions. Polynomial regressions are very common in engineering, science, and other disciplines, and it is at the ...
Asoke K. Nandi
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Algebraic derivations with constants satisfying a polynomial identity
Israel Journal of Mathematics, 2003 The authors continue the line of investigation started by \textit{I. N. Herstein} and \textit{L. Neumann} [Ann. Mat. Pura Appl., IV. Ser. 102, 37-44 (1975; Zbl 0302.16020)]. The philosophy is that if \(R\) is a unitary algebra over a commutative ring \(C\) and \(b\in R\) is integral over \(C\), then the centralizer \(C_R(b)\) is large enough in the ...
Chuang, C. L., Lee, T. K.
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Pattern Formation in Non‐Equilibrium Architected Materials
Advanced Materials Technologies, EarlyView.This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
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Images of polynomial maps with constants
MathematikaAbstractLet be the matrix algebra over and be the invertible elements in . Inspired by Kaplansky–Lv́ov conjecture, we explore the image of polynomials with constants, namely polynomials from the free algebra . In this article, we compute the images of the polynomial maps given by (a) generalized sum of powers and (b) generalized commutator map ...
Saikat Panja, Prachi Saini, Anupam Singh
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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 +5 more
wiley +1 more source
A finite-dimensional integrable system associated with a polynomial eigenvalue problem
International Journal of Mathematics and Mathematical Sciences, 2006 M. Antonowicz and A. P. Fordy (1988) introduced the second-order polynomial eigenvalue problem Lφ=(∂2+∑i=1nviλi)φ=αφ(∂=∂/∂x,α=constant) and discussed its multi-Hamiltonian structures.
Taixi Xu, Weihua Mu, Zhijun Qiao
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Equidistant Nodes Orthogonal Polynomial Fitting for Harmonic Constants of Long-Period Tides Based on Satellite Altimeter Data [PDF]
, 2023 Yunfei Zhang +5 more
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Degree estimates for polynomials constant on a hyperplane
Michigan Mathematical Journal, 2007 The study of proper rational mappings between balls in complex Euclidean spaces naturally leads to the relationship between the degree and imbedding dimension of such a mapping. The special case for monomial mappings is equivalent to the question discussed in this paper. Estimate the degree $d$ of a polynomial in $n$ real variables, assumed to have non-
D'Angelo, John +2 more
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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 +6 more
wiley +1 more source