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The image of polynomials in one variable on 2×2 upper triangular matrix algebras
AIMS Mathematics, 2022 In the present paper, we give a description of the image of polynomials in one variable on 2×2 upper triangular matrix algebras over an algebraically closed field.
Lan Lu +3 more
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Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer [PDF]
SIAM Review, 1995 A digital computer is generally believed to be an efficient universal computing device; that is, it is believed to be able to simulate any physical computing device with an increase in computation time by at most a polynomial factor. This may not be true
P. Shor
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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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Breaking SIDH in polynomial time
IACR Cryptology ePrint Archive, 2022 .
Damien Robert
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Semilocal smoothihg S-splines [PDF]
Компьютерные исследования и моделирование, 2010 Semilocal smoothing splines or S-splines from class C p are considered. These splines consist of polynomials of a degree n, first p + 1 coefficients of each polynomial are determined by values of the previous polynomial and p its derivatives at the point
Dmitrii Alekseevich Silaev
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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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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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The number of rational points on a class of hypersurfaces in quadratic extensions of finite fields
Electronic Research Archive, 2023 Let $ q $ be an even prime power and let $ \mathbb{F}_{q} $ be the finite field of $ q $ elements. Let $ f $ be a nonzero polynomial over $ \mathbb{F}_{q^2} $ of the form $ f = a_{1}x_{1}^{m_{1}}+\dots+a_{s}x_{s}^{m_{s}}+y_{1}y_{2}+\dots+y_{n-1}y_{n}+y_ ...
Qinlong Chen , Wei Cao
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Simple Local Polynomial Density Estimators [PDF]
Journal of the American Statistical Association, 2018 This article introduces an intuitive and easy-to-implement nonparametric density estimator based on local polynomial techniques. The estimator is fully boundary adaptive and automatic, but does not require prebinning or any other transformation of the ...
M. D. Cattaneo +2 more
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The Maximal Complexity of Quasiperiodic Infinite Words
Axioms, 2021 A quasiperiod of a finite or infinite string is a word whose occurrences cover every part of the string. An infinite string is referred to as quasiperiodic if it has a quasiperiod.
Ludwig Staiger
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