Results 101 to 110 of about 4,716 (302)
Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li +5 more
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AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
Sums of finite products of Genocchi functions
In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Bernoulli functions.
Taekyun Kim +3 more
doaj +1 more source
Polynomial identities for hypermatrices
65 pages. Several results expanded.
openaire +4 more sources
Young subgroups and polynomial identities
We study the Young cosets of the symmetric group and determine the ones in which the number of full cycles is minimal: They are, among other characterizations, the ones whose graph is a tree.
Leron, Uri
core +1 more source
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
wiley +1 more source
New results on the q-generalized Bernoulli polynomials of level m
This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of
Urieles Alejandro +3 more
doaj +1 more source
Derivations and Identities for Kravchuk Polynomials [PDF]
We introduce the notion of Kravchuk derivations of the polynomial algebra. We prove that any element of the kernel of the derivation gives a polynomial identity satisfied by the Kravchuk polynomials. Also, we prove that any kernel element of the basic Weitzenbök derivations yields a polynomial identity satisfied by the Kravchuk polynomials. We describe
openaire +2 more sources
Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators
Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng +11 more
wiley +1 more source
On Some k-Oresme Polynomials with Negative Indices
In this study, \textit{k-} Oresme polynomials with negative indices, which are the generalization of Oresme polynomials, were examined and defined. By examining the algebraic properties of recently defined polynomial sequences, some important identities
Serpil Halıcı, Elifcan Sayın
doaj +1 more source

