Results 11 to 20 of about 135,613 (269)

Local polynomials are polynomials [PDF]

open access: yesStudia Mathematica, 1995
Summary: We prove that a function \(f\) is a polynomial if \(G\circ f\) is a polynomial for every bounded linear functional \(G\). We also show that an operator-valued function is a polynomial if it is locally a polynomial.
Fong, C. K.   +4 more
openaire   +1 more source

Evaluating Total Electron Content (TEC) Detrending Techniques in Determining Ionospheric Disturbances during Lightning Events in A Low Latitude Region

open access: yesRemote Sensing, 2021
Total Electron Content (TEC) from Global Navigation Satellite Systems (GNSS) is used to ascertain the impact of space weather events on navigation and communication systems. TEC is detrended by several methods to show this impact.
Louis Osei-Poku   +3 more
doaj   +1 more source

The Maximal Complexity of Quasiperiodic Infinite Words

open access: yesAxioms, 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

Mathematical approximator based on basic spline approximation [PDF]

open access: yesE3S 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   +5 more
doaj   +1 more source

Semilocal smoothihg S-splines [PDF]

open access: yesКомпьютерные исследования и моделирование, 2010
Semilocal smoothing splines or S-splines from class C p are considered. These splines consist of polynomials of a degree n, first p + 1 coefficients of each polynomial are determined by values of the previous polynomial and p its derivatives at the point
Dmitrii Alekseevich Silaev
doaj   +1 more source

Tutte Polynomials and Link Polynomials [PDF]

open access: yesProceedings 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

Bounds for the sums of zeros of solutions of $u^{(m)}=P(z)u$ where $P$ is a polynomial

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
The main purpose of this paper is to consider the differential equation $u^{(m)}=P(z)u$ $(m\geq 2)$ where $P$ is a polynomial with in general complex coefficients. Let $z_{k}(u),$ $k=1,2,\ldots$ be the zeros of a nonzero solution $u$ to that equation. We
Ting-Bin Cao, Kai Liu, Hong-Yan Xu
doaj   +1 more source

Polynomial Algebras Have Polynomial Growth [PDF]

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

Polynomial Relations between Polynomial Roots

open access: yesJournal 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

New Polynomial Bounds for Jordan’s and Kober’s Inequalities Based on the Interpolation and Approximation Method

open access: yesMathematics, 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
doaj   +1 more source

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