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Limit key polynomials as p-polynomials [PDF]
Journal of Algebra, 2021 The main goal of this paper is to characterize limit key polynomials for a valuation $ $ on $K[x]$. We consider the set $ _ $ of key polynomials for $ $ of degree $ $. We set $p$ be the exponent characteristic of $ $. Our first main result (Theorem 1.1) is that if $Q_ $ is a limit key polynomial for $ _ $, then the degree of $Q_ $ is $p^r ...
Michael de Moraes, Josnei Novacoski
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An Explanation of Mellin’s 1921 Paper
Известия Иркутского государственного университета: Серия "Математика", 2023 In 1921 Mellin published a Comptes Rendu paper computing the principal solution of a polynomial using generalized hypergeometric functions of its coefficients. He used an integral transform nowadays bearing his name.
W. M. Lawton
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Performance Comparison of Classical Methods and Neural Networks for Colour Correction
Journal of Imaging, 2023 Colour correction is the process of converting RAW RGB pixel values of digital cameras to a standard colour space such as CIE XYZ. A range of regression methods including linear, polynomial and root-polynomial least-squares have been deployed.
Abdullah Kucuk +3 more
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SMIRNOV’S INEQUALITY FOR POLYNOMIALS HAVING ZEROS OUTSIDE THE UNIT DISC
Проблемы анализа, 2021 In 1887, the famous chemist D. I. Mendeleev posed the following problem: to estimate |𝑓 ′(𝑥)| for a real polynomial 𝑓 (𝑥), satisfying the condition |𝑓 (𝑥)| ≤ 𝑀 on [𝑎, 𝑏]. This question arose when Mendeleev was studying aqueous solutions.
E. G. Kompaneet, V. V. Starkov
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Energy Analysis and Forecast of a Major Modern Hospital
Buildings, 2022 Healthcare buildings often have high energy use intensity, which is potentially influenced by a few factors, such as occupancy and climate. A suite of data analysis methods, including principal component analysis and regressions, is applied to analyse ...
Aaron Liu +5 more
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Entropy, 2023 In this paper, the radial basis function finite difference method is used to solve two-dimensional steady incompressible Navier–Stokes equations. First, the radial basis function finite difference method with polynomial is used to discretize the spatial ...
Liru Mu, Xinlong Feng
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NTRU-Like Random Congruential Public-Key Cryptosystem for Wireless Sensor Networks
Sensors, 2020 Wireless sensor networks (WSNs) are the core of the Internet of Things and require cryptographic protection. Cryptographic methods for WSN should be fast and consume low power as these networks rely on battery-powered devices and microcontrollers.
Anas Ibrahim +5 more
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Reasoning Method between Polynomial Error Assertions
Information, 2021 Error coefficients are ubiquitous in systems. In particular, errors in reasoning verification must be considered regarding safety-critical systems. We present a reasoning method that can be applied to systems described by the polynomial error assertion ...
Peng Wu +3 more
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Entire solutions of two certain Fermat-type ordinary differential equations
Open Mathematics, 2023 In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
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Nonnegative Polynomials and Circuit Polynomials
SIAM Journal on Applied Algebra and Geometry, 2022 21 ...
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