Results 41 to 50 of about 323,104 (323)
Generalizations of Chebyshev polynomials and polynomial mappings [PDF]
Transactions of the American Mathematical Society, 2007 In this paper we show how polynomial mappings of degree K \mathfrak {K} from a union of disjoint intervals onto [ − 1 , 1 ] [-1,1] generate a countable number of special cases of generalizations of Chebyshev polynomials.
Yang Chen +3 more
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Nonlinear Evolutionary Pattern Recognition of Land Subsidence in the Beijing Plain
Remote SensingBeijing is a city on the North China Plain with severe land subsidence. In recent years, Beijing has implemented effective measures to control land subsidence.
Mingyuan Lyu +10 more
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On Eisenstein polynomials and zeta polynomials [PDF]
Journal of Pure and Applied Algebra, 2019 11 ...
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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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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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Algebras and Representation Theory, 2018 Let $V$ be a vector space over a field $k, P:V\to k, d\geq 3$. We show the existence of a function $C(r,d)$ such that $rank (P)\leq C(r,d)$ for any field $k,char (k)>d$, a finite-dimensional $k$-vector space $V$ and a polynomial $P:V\to k$ of degree $d$ such that $rank(\partial P/\partial t)\leq r$ for all $t\in V-0$.
Kazhdan, David, Ziegler, Tamar
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IS THE JONES POLYNOMIAL OF A KNOT REALLY A POLYNOMIAL? [PDF]
Journal of Knot Theory and Its Ramifications, 2006 The Jones polynomial of a knot in 3-space is a Laurent polynomial in q, with integer coefficients. Many people have pondered why this is so, and what a proper generalization of the Jones polynomial for knots in other closed 3-manifolds is. Our paper centers around this question.
Thang T. Q. Le, Stavros Garoufalidis
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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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A review of artificial intelligence in brachytherapy
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen +4 more
wiley +1 more source
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose This study aims to quantify and compare the dosimetric effects of varying thicknesses of StrataXRT, a silicone‐based gel, and other topical agents on the skin surface during volumetric modulated arc therapy (VMAT) for breast cancer.
Tenyoh Suzuki +13 more
wiley +1 more source