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Axioms, 2023 This paper considers the computation of approximations of matrix functionals of form F(A):=vTf(A)v, where A is a large symmetric positive definite matrix, v is a vector, and f is a Stieltjes function.
Jihan Alahmadi +2 more
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Construction of Optimal Locally Repairable Codes via Automorphism Groups of Rational Function Fields [PDF]
IEEE Transactions on Information Theory, 2017 Locally repairable codes, or locally recoverable codes (LRC for short), are designed for applications in distributed and cloud storage systems. Similar to classical block codes, there is an important bound called the Singleton-type bound for locally ...
Lingfei Jin, Liming Ma, C. Xing
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Results in Physics, 2020 A new and general wave traveling solutions for Sharma-Tasso-Olver and (2 + 1)-dimensional Sharma-Tasso-Olver equation are deduced by using the extension exponential rational function method. The solution’s graphics described the physical phenomena of the
K. El-Rashidy
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Rational Ahlfors Functions [PDF]
Constructive Approximation, 2014 26 pages, 6 figures, to appear in Constructive ...
Fortier Bourque, Maxime, Younsi, Malik
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New exact travelling solutions of the generalized Hirota equation
Partial Differential Equations in Applied Mathematics, 2021 In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method.
Yaning Tang, Zaijun Liang, Meiling Zhou
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Rational Transfer Function Approximations to Transport Delay [PDF]
Modeling, Identification and Control, 1990 A method is presented for determining a rational transfer function approximation to transport delay which has the property that the error in the frequency response phase shift is zero at certain frequencies.
Jens G. Balchen
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Rational Hypergeometric Functions [PDF]
Compositio Mathematica, 2001 Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors projectively dual to torus orbit closures. We show that most of these potential denominators never appear in rational hypergeometric functions.
Cattani, E, Dickenstein, A, Sturmfels, B
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Introduction to Rational Functions [PDF]
Formalized Mathematics, 2012 Summary In this article we formalize rational functions as pairs of polynomials and define some basic notions including the degree and evaluation of rational functions [8]. The main goal of the article is to provide properties of rational functions necessary to prove a theorem on the stability of ...
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Multipartite Rational Functions
Documenta Mathematica, 2020 Consider a tensor product of free algebras over a field \Bbbk , the so-called multipartite free algebra \mathcal{A}=\Bbbk<X^{(1)}> \otimes\cdots\otimes\Bbbk<X^{(G)}>
Klep, Igor +2 more
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Quadratic Poisson algebras on k[x, y, z]and their automorphisms
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 One of the important directions in modern mathematics is applications of Poisson structures and to various problems of mathematics and theoretical mechanics. These problems arise in dynamics of a rigid body, the celestial mechanics, the theory of curls,
U.K. Turusbekova, G.T. Azieva
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