Results 91 to 100 of about 2,413 (304)
Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
Factorization of colored knot polynomials at roots of unity
Physics Letters B, 2015 HOMFLY polynomials are the Wilson-loop averages in Chern–Simons theory and depend on four variables: the closed line (knot) in 3d space–time, representation R of the gauge group SU(N) and exponentiated coupling constant q.
Ya. Kononov, A. Morozov
doaj +1 more source
Topology and factorization of polynomials
MATHEMATICA SCANDINAVICA, 2009 For any polynomial $P\in {\mathsf C} [X_1,X_2,\ldots,X_n]$, we describe a $\mathsf C$-vector space $F(P)$ of solutions of a linear system of equations coming from some algebraic partial differential equations such that the dimension of $F(P)$ is the number of irreducible factors of $P$.
openaire +3 more sources
Factorization of operator-valued polynomials in several non-commuting variables [PDF]
, 2001 A version of Fejer–Riesz factorization and factorization of positive operator-valued polynomials in several non-commuting variables holds.
McCullough, Scott
core +1 more source
Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
On the Factorization of Polynomials Over Discrete Valuation Domains
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We study some factorization properties for univariate polynomials with coefficients in a discrete valuation domain (A,v). We use some properties of the Newton index of a polynomial F(X)=∑i=0daiXd-i∈ A[X] to deduce conditions on v(ai) that allow us to ...
Ştefănescu Doru
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
Wiener-Hopf factorization of placewise matrix polynomials [PDF]
, 1983 A theory of companion divisors for systems of matrix polynomials is developed. This serves as a main tool for study of Wiener-Hopf factorization of piecewise matrix polynomials with respect to a contour which bounds a multiply connected domain ...
Gohberg, I., Lerer, L., Rodman, L.
core +1 more source
Algorithms for the factorization of matrix polynomials [PDF]
, 1992 142 p. : ill. ; 30 cmThe factorization (root finding) of scalar polynomials is an important tool of analysis and design for linear systems. This thesis is a part of an ongoing effort to generalize these tools to multivariable systems via the ...
Dahimene, Abdelhakim
core +2 more sources
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (
Hiroshi Miki +2 more
doaj +1 more source