Results 41 to 50 of about 9,360 (297)
The Trigonometric Polynomial Like Bernstein Polynomial
The Scientific World Journal, 2014 A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed.
Xuli Han
doaj +1 more source
Dual Grothendieck polynomials via last-passage percolation
Comptes Rendus. Mathématique, 2020 The ring of symmetric functions has a basis of dual Grothendieck polynomials that are inhomogeneous $K$-theoretic deformations of Schur polynomials. We prove that dual Grothendieck polynomials determine column distributions for a directed last-passage ...
Yeliussizov, Damir
doaj +1 more source
, 2008 We study asymptotics of an irreducible representation of the symmetric group Sn corresponding to a balanced Young diagram λ (a Young diagram with at most View the MathML source rows and columns for some fixed constant C) in the limit as n tends to ...
Rattan, Amarpreet +2 more
core +1 more source
Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
Mathematics, 2018 In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree n.
Dongkyu Lim, Feng Qi
doaj +1 more source
Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Advanced Engineering Materials, EarlyView.Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari +3 more
wiley +1 more source
Advanced Materials, EarlyView.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
Noncommutative Symmetric Hall-Littlewood Polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis ...
Lenny Tevlin
doaj +1 more source
Advanced Materials, EarlyView.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
Asymptotics of symmetric polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We develop a new method for studying the asymptotics of symmetric polynomials of representation–theoretic origin as the number of variables tends to infinity.
Vadim Gorin, Greta Panova
doaj +1 more source
Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
Nuclear Physics B, 2021 We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marginals of the probability density functions.
Leonardo Santilli, Miguel Tierz
doaj +1 more source