Results 21 to 30 of about 1,291,137 (334)
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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Relations between M\"obius and coboundary polynomial [PDF]
, 2012 It is known that, in general, the coboundary polynomial and the M\"obius polynomial of a matroid do not determine each other. Less is known about more specific cases.
A. Faldum +15 more
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, 2018 In this paper, we study polynomial norms, i.e. norms that are the $d^{\text{th}}$ root of a degree-$d$ homogeneous polynomial $f$. We first show that a necessary and sufficient condition for $f^{1/d}$ to be a norm is for $f$ to be strictly convex, or ...
Ahmadi, Amir Ali +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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Polynomial Cohomology and Polynomial Maps on Nilpotent Groups [PDF]
, 2019 We introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficients admits a description in terms of ordinary cohomology with polynomial ...
Kyed, David, Petersen, Henrik Densing
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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.
Garoufalidis, Stavros, Lê, Thang Tq
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On Eisenstein polynomials and zeta polynomials II [PDF]
International Journal of Number Theory, 2019 Eisenstein polynomials, which were defined by the second author, are analogues to the concept of an Eisenstein series. The second author conjectured that there exist some analogous properties between Eisenstein series and Eisenstein polynomials. In the previous paper, the first author provided new analogous properties of Eisenstein polynomials and ...
Miezaki, Tsuyoshi, Oura, Manabu
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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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Polynomial, Neural Network, and Spline Wavelet Models for Continuous Wavelet Transform of Signals
Sensors, 2021 In this paper a modified wavelet synthesis algorithm for continuous wavelet transform is proposed, allowing one to obtain a guaranteed approximation of the maternal wavelet to the sample of the analyzed signal (overlap match) and, at the same time, a ...
Andrey Stepanov
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Matrix of Polynomials Model based Polynomial Dictionary Learning Method for Acoustic Impulse Response Modeling [PDF]
, 2017 We study the problem of dictionary learning for signals that can be represented as polynomials or polynomial matrices, such as convolutive signals with time delays or acoustic impulse responses.
Dong, Jing +4 more
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