Results 31 to 40 of about 5,044 (263)
Symmetric $*$-polynomials on $\mathbb C^n$
Karpatsʹkì Matematičnì Publìkacìï, 2018 $*$-Polynomials are natural generalizations of usual polynomials between complex vector spaces. A $*$-polynomial is a function between complex vector spaces $X$ and $Y,$ which is a sum of so-called $(p,q)$-polynomials.
T.V. Vasylyshyn
doaj +1 more source
Symmetric and nonsymmetric Macdonald polynomials [PDF]
Annals of Combinatorics, 1999 AMS-Latex, 24 ...
openaire +2 more sources
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 +5 more
wiley +1 more source
Some symmetric polynomial and related identities [PDF]
ریاضی و جامعهIn this paper, we study some symmetric polynomials and their properties. In addition to the elementary and complete symmetric polynomials, we consider the accumulative versions of these polynomials and using common combinatorial tools, particularly ...
Narges Ghareghani +1 more
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
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 +3 more
wiley +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
AN IDENTITY ON SYMMETRIC POLYNOMIALS
Tạp chí Khoa học Đại học Đà Lạt, 2020 In this paper, we propose and prove an identity on symmetric polynomials. In order to obtain this identity, we use the interpolation theory, in particular, the Lagrange interpolation formula. In the proof of the identity, we propose two different proofs.
Đặng Tuấn Hiệp, Lê Văn Vĩnh
doaj +1 more source
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 +9 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