Results 31 to 40 of about 1,716,432 (375)
Mathematical approximator based on basic spline approximation [PDF]
E3S Web of ConferencesThe article considers the problem of constructing a mathematical piecewise linear approximator based on approximation by basis splines. An algorithm has been developed designed to implement a class of special functions and create parallel ...
Turdimatov Mamirjon +5 more
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Integration of a Generalized Ratio of Polynomials
Mathematics, 2021 This paper provides a closed-form solution to the indefinite integral of a ratio of generalized polynomials where the denominator polynomial is raised to the general order r∈Z+.
Matthew J. Brandsema, Donovan E. Brocker
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Tutte Polynomials and Link Polynomials [PDF]
Proceedings of the American Mathematical Society, 1988 We show how the Tutte polynomial of a plane graph can be evaluated as the "homfly" polynomial of an associated oriented link. Then we discuss some consequences for the partition function of the Potts model, the Four Color Problem and the time complexity of the computation of the homfly polynomial.
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Polynomial Distributions and Transformations
Mathematics, 2023 Polynomials are common algebraic structures, which are often used to approximate functions, such as probability distributions. This paper proposes to directly define polynomial distributions in order to describe stochastic properties of systems rather ...
Yue Yu, Pavel Loskot
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The taut polynomial and the Alexander polynomial
Journal of Topology, 2023 AbstractLandry, Minsky and Taylor defined the taut polynomial of a veering triangulation. Its specialisations generalise the Teichmüller polynomial of a fibred face of the Thurston norm ball. We prove that the taut polynomial of a veering triangulation is equal to a certain twisted Alexander polynomial of the underlying manifold.
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Sensors, 2018 Continuous monitoring of natural human gait in real-life environments is essential in many applications including disease monitoring, rehabilitation, and professional sports.
Erfan Shahabpoor, Aleksandar Pavic
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Polynomial reconstruction of the matching polynomial
Electronic Journal of Graph Theory and Applications, 2015 The matching polynomial of a graph is the generating function of the numbers of its matchings with respect to their cardinality. A graph polynomial is polynomial reconstructible, if its value for a graph can be determined from its values for the vertex-deleted subgraphs of the same graph.
Yongtang Shi, Xueliang Li, Martin Trinks
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Polynomials biorthogonal to Appell's polynomials [PDF]
Bulletin of the Australian Mathematical Society, 1974 We present the solution of a long-standing problem, namely, the determination of a set of polynomials in two independent variables which are biorthogonal over a triangular region to a set of polynomials previously introduced by Appell. Some elementary properties of our polynomials are investigated.
R.A. Littler, Edward D. Fackerell
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When is a trigonometric polynomial not a trigonometric polynomial? [PDF]
, 2011 As an application of B\'ezout's theorem from algebraic geometry, we show that the standard notion of a trigonometric polynomial does not agree with a more naive, but reasonable notion of trigonometric polynomial.Comment: 3 ...
Borzellino, Joseph E., Sherman, Morgan
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Mathematics, 2019 In this paper, new refinements and improvements of Jordan’s and Kober’s inequalities are presented. We give new polynomial bounds for the s i n c ( x ) and cos ( x ) functions based on the interpolation and approximation ...
Lina Zhang, Xuesi Ma
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