Results 11 to 20 of about 135,613 (269)
Local polynomials are polynomials [PDF]
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
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
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]
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]
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]
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
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]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Polynomial Relations between Polynomial Roots
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
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

