Results 41 to 50 of about 1,007,951 (256)

Topology on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$

Karpatsʹkì Matematičnì Publìkacìï, 2017
It is known that the so-called elementary symmetric polynomials $R_n(x) = \int_{[0,1]}(x(t))^n\,dt$ form an algebraic basis in the algebra of all symmetric continuous polynomials on the complex Banach space $L_\infty,$ which is dense in the Fr\'{e}chet ...
T.V. Vasylyshyn
doaj   +1 more source

Hypersymmetric functions and Pochhammers of 2×2 nonautonomous matrices

International Journal of Mathematics and Mathematical Sciences, 2004
We introduce the hypersymmetric functions of 2×2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices.
A. F. Antippa
doaj   +1 more source

Dunkl Operators and Canonical Invariants of Reflection Groups

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups. We verify that the elementary canonical invariants of the symmetric group are deformations of the elementary symmetric polynomials.
Arkady Berenstein, Yurii Burman
doaj   +1 more source

A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy

Advanced Engineering Materials, EarlyView.
A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle, Cesar Alvarez‐Llamas, Vincent Motto‐Ros, Christophe Dujardin, Jérémie Margueritat, David Rodney   +5 more
wiley   +1 more source

A Thermodynamic Model of Antiferroelectics and Its Application to Electric Field Induced Antiferroelectric‐Ferroelectric Transition in PbZrO3

Advanced Functional Materials, EarlyView.
A thermodynamic model that incorporates ferroelectric, antiferroelectric, and antiferrodistortive orders of PbZrO3${\rm PbZrO}_3$ is established and parameterized based on experimental measurements and first‐principles calculations. We derive a Clapeyron‐like equation for describing the temperature‐dependence of critical electric fields for the ...
Zhiyang Wang, Guodong Zhao, Aiden Ross, Long‐Qing Chen   +3 more
wiley   +1 more source

Wreath Macdonald operators

Forum of Mathematics, Sigma
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald P-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree.
Daniel Orr, Mark Shimozono, Joshua Wen
doaj   +1 more source

Elementary Symmetric Polynomials for Optimal Experimental Design

, 2017
We revisit the classical problem of optimal experimental design (OED) under a new mathematical model grounded in a geometric motivation. Specifically, we introduce models based on elementary symmetric polynomials; these polynomials capture "partial volumes" and offer a graded interpolation between the widely used A-optimal design and D-optimal design ...
Zelda E. Mariet, Suvrit Sra
openaire   +3 more sources

Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula [PDF]

, 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, Śniady, Piotr, Sniady, P.   +2 more
core   +1 more source

Intelligent Orthopedics: Machine Learning in Diagnosis of Bone Disease, Implants, and Bone Health Monitoring

Advanced Healthcare Materials, EarlyView.
Efficient recovery from traumatic or degenerative diseases is a great challenge, even after all the advancements in bone and cartilage regeneration. Machine learning (ML) algorithms have presented opportunities to enhance these aspects by accurately analyzing imaging data.
Maryam Kamaei, Hesam Mohammadi, Shamim Golafshan, Mojtaba Alehosseini, Mahsa Mohammadzadeh, Atefeh Golshirazi, Nasim Golafshan, Tatiane Eufrásio‐da‐Silva, Alireza Dolatshahi‐Pirouz, Gorka Orive   +9 more
wiley   +1 more source

Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators

Advanced Materials, EarlyView.
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, Peng Zhang, Gang Qiu, Ting‐Hsun Yang, Chang Niu, Yaochen Li, Wenqiang Cui, Yang Feng, Peide D. Ye, Ke He, Kai Chang, Kang L. Wang   +11 more
wiley   +1 more source