Results 101 to 110 of about 323,104 (323)
Polynomial zerofinders based on Szegő polynomials
AbstractThe computation of zeros of polynomials is a classical computational problem. This paper presents two new zerofinders that are based on the observation that, after a suitable change of variable, any polynomial can be considered a member of a family of Szegő polynomials.
Ammar, G.S.+3 more
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Self-Reciprocal Polynomials and Coterm Polynomials [PDF]
We classify all self-reciprocal polynomials arising from reversed Dickson polynomials over $\mathbb{Z}$ and $\mathbb{F}_p$, where $p$ is prime. As a consequence, we also obtain coterm polynomials arising from reversed Dickson polynomials.
arxiv
Elucidating Sodium Ion Storage Mechanisms in Hard Carbon Anodes at the Electronic Level
High‐resolution, multi‐frequency continuous wave, and pulsed Electron Paramagnetic Resonance (EPR) spectroscopy uncover the intricate Na ion storage mechanisms in hard carbon. This study reveals the coexistence of Na ion intercalation and solvent co‐intercalation, alongside a subsequent transition of Na ions from ionic to quasi‐metallic to metallic ...
Qingbing Xia+5 more
wiley +1 more source
Sparse polynomial interpolation with Bernstein polynomials
We present an algorithm for interpolating an unknown univariate polynomial f that has a t sparse representation (t
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Graphs which their certain polynomials have few distinct roots- a survey [PDF]
Let G = (V;E) be a simple graph. We consider domination polynomial, matching polynomial and edge cover polynomial of G. Graphs which their polynomials have few roots can give sometimes a very surprising information about the structure of the graph. In this paper we study graphs which their domination polynomial, independence polynomial and edge cover ...
arxiv
Heat Conduction Modulation in Incommensurate Twisted Stacking of Transition‐Metal Dichalcogenide
The interlayer thermal conductance in twisted bilayer TMDs is initially investigated experimentally by the thermoreflectance method. The overlap of lattice vibrations within individual layers and the interlayer interactions, as elucidated through both Raman spectroscopy and molecular dynamics simulations, are demonstrated to be critical factors in ...
Bin Xu+6 more
wiley +1 more source
arXiv admin note: text overlap with arXiv:math/0605193 by different ...
openaire +5 more sources
Vortices and Polynomials [PDF]
The relationship between point vortex dynamics and the properties of polynomials with roots at the vortex positions is discussed. Classical polynomials, such as the Hermite polynomials, have roots that describe the equilibria of identical vortices on the line. Stationary and uniformly translating vortex configurations with vortices of the same strength
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FAULHABER POLYNOMIALS AND RECIPROCAL BERNOULLI POLYNOMIALS
36 pages, 9 tables, 1 figure, final revised ...
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Multiplication of a Schubert polynomial by a Stanley symmetric polynomial [PDF]
We prove, combinatorially, that the product of a Schubert polynomial by a Stanley symmetric polynomial is a truncated Schubert polynomial. Using Monk's rule, we derive a nonnegative combinatorial formula for the Schubert polynomial expansion of a truncated Schubert polynomial.
arxiv