Results 21 to 30 of about 1,750,438 (373)

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
doaj   +1 more source

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
core   +2 more sources

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.
openaire   +1 more source

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
doaj   +1 more source

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, C. Greene, D.J.A. Welsh, F.J. MacWilliams, H. Crapo, I.M. Duursma, I.M. Duursma, I.M. Duursma, J.G. Oxley, M. Aigner, M.A. Boer de, N. White, R.P.M.J. Jurrius, Relinde Jurrius, T. Kløve, T. Zaslavsky   +15 more
core   +3 more sources

Polynomial Algebras Have Polynomial Growth [PDF]

Transactions of the American Mathematical Society, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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, Feng, Pengming, Guan, Jian, Wang, Wenwu, Wang, Xuan   +4 more
core   +2 more sources

Generalized and Extended Versions of Ankeny–Rivlin and Improved, Generalized, and Extended Versions of Rivlin Type Inequalities for the s^th Derivative of a Polynomial

Mathematics, 2021
Let p(z) be a polynomial of degree n having no zeros in |z|
Kshetrimayum Krishnadas, Reingachan Ngamchui, Barchand Chanam   +2 more
doaj   +1 more source

Polynomial Relations between Polynomial Roots

Journal of Algebra, 1995
Let \(f\) be a separable polynomial of degree \(n\) over a field \(K\) and let \(G\) be the Galois group of its splitting field. It has been shown by \textit{C. J. Smyth} [J. Number Theory 23, 243-254 (1986; Zbl 0586.12001)]\ that if \(G= S_n\) and the characteristic of \(K\) either is zero or exceeds \(n\), then there are no non-trivial additive ...
Baron, G., Drmota, M., Skalba, M.
openaire   +1 more source

Mathematical approximator based on basic spline approximation [PDF]

E3S Web of Conferences
The 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, Mukhtarov Farrukh, Ibrokhimov Nodirbekh, Umarov Shukhratjon, Mirzayev Jamshid, Rakhmatov Rasuljon   +5 more
doaj   +1 more source