Results 11 to 20 of about 275,582 (319)
Point Orthogonal Projection onto a Spatial Algebraic Curve
Mathematics, 2020 Point orthogonal projection onto a spatial algebraic curve plays an important role in computer graphics, computer-aided geometric design, etc. We propose an algorithm for point orthogonal projection onto a spatial algebraic curve based on Newton’s ...
Taixia Cheng +3 more
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A Topological View of Reed–Solomon Codes
Mathematics, 2021 We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve.
Alberto Besana, Cristina Martínez
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Cherednik Algebras for Algebraic Curves [PDF]
, 2010 For any smooth algebraic curve C, Pavel Etingof introduced a `global' Cherednik algebra as a natural deformation of the cross product of the algebra of differential operators on C^n and the symmetric group. We provide a construction of the global Cherednik algebra in terms of quantumn Hamiltonian reduction. We study a category of character D-modules on
Michael Finkelberg, Victor Ginzburg
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Quadratic systems with a symmetrical solution
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: \begin{equation*} \begin{split} \frac{dx(t)}{dt}& = P_2(x,y) \equiv a_{00}+a_{10}x+a_{01}y+a_{20}x^2+a_{11}xy+a_{02}y^2 ...
Andre Zegeling, Robert Kooij
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Application of Said Ball Curve for Solving Fractional Differential-Algebraic Equations
Mathematics, 2021 The aim of this paper is to apply the Said Ball curve (SBC) to find the approximate solution of fractional differential-algebraic equations (FDAEs). This method can be applied to solve various types of fractional order differential equations. Convergence
Fateme Ghomanjani, Samad Noeiaghdam
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On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space
Applied Mathematics in Science and Engineering, 2022 In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces.
F. G. Abdullayev, M. Imashkyzy
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Computational algebra and algebraic curves [PDF]
ACM SIGSAM Bulletin, 2003 The development of computational techniques in the last decade has made possible to attack some classical problems of algebraic geometry. In this survey, we briefly describe some open problems related to algebraic curves which can be approached from a computational viewpoint.
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On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles
MANAS: Journal of Engineering, 2021 In this work we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with interior zero and exterior non zero angles.
Cevahir Doğanay Gün
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On the topology of planar algebraic curves [PDF]
Proceedings of the twenty-fifth annual symposium on Computational geometry, 2009 We introduce a method to compute the topology of planar algebraic curves. The curve may not be in generic position and may have vertical asymptotes. The algebraic tools are rational univariate representation for zero-dimensional ideals and multiplicities in these ideals. Experiments show the efficiency of our algorithm.
Cheng, Jinsan +5 more
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Batteries &Supercaps, Volume 6, Issue 1, January 2023., 2023 We introduce a computer algorithm that incorporates the experience of battery researchers to extract information from experimental data reproducibly. This enables the fitting of complex models that take up to a few minutes to simulate. For validation, we process full‐cell GITT measurements to characterize the diffusivities of both electrodes non ...
Yannick Kuhn +3 more
wiley +1 more source