Results 111 to 120 of about 549,018 (333)
Pattern Formation in Non‐Equilibrium Architected Materials
Advanced Materials Technologies, EarlyView.This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
wiley +1 more source
A new quadra polynomial sequence [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we define a new quadra polynomial sequence by using Özkoç numbers as the coefficients. Then, we derive some properties for this polynomial sequence by the help of Fibonacci and Pell polynomials.
Emre Sevgi
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Classifying and constraining local four photon and four graviton S-matrices
Journal of High Energy Physics, 2020 We study the space of all kinematically allowed four photon and four graviton S-matrices, polynomial in scattering momenta. We demonstrate that this space is the permutation invariant sector of a module over the ring of polynomials of the Mandelstam ...
Subham Dutta Chowdhury +5 more
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Piecewise Certificates of Positivity for matrix polynomials
, 2010 We show that any symmetric positive definite homogeneous matrix polynomial $M\in\R[x_1,...,x_n]^{m\times m}$ admits a piecewise semi-certificate, i.e. a collection of identites $M(x)=\sum_jf_{i,j}(x)U_{i,j}(x)^TU_{i,j}(x)$ where $U_{i,j}(x)$ is a matrix ...
Quarez, Ronan
core +2 more sources
New kinds of matrix polynomials [PDF]
Miskolc Mathematical Notes, 2013 In this study, we introduce new matrix poynomials and derive their properties such as explict representations, recurrence relations and generating matrix functions.
openaire +3 more sources
Advanced Materials Technologies, EarlyView.Waterborne polyurethane/graphene formulations are developed as piezoresistive coatings on glass fabric to enable flexible strain sensing. The graphene‐enabled conductive network provides a stable electromechanical response under cyclic compression. The coating demonstrates reliable pressure‐dependent resistance changes, highlighting its potential for ...
Vishnu Vijayan Pillai +8 more
wiley +1 more source
On some properties of Korobov polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2014 We represent Korobov polynomials as paradeterminants of triangular matrices and prove some of their properties.
V.M. Pylypiv, A.R. Malarchuk
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Algebraic linearizations of matrix polynomials
Linear Algebra and its Applications, 2019 We show how to construct linearizations of matrix polynomials $z\mathbf{a}(z)\mathbf{d}_0 + \mathbf{c}_0$, $\mathbf{a}(z)\mathbf{b}(z)$, $\mathbf{a}(z) + \mathbf{b}(z)$ (when $\mathrm{deg}\left(\mathbf{b}(z)\right) < \mathrm{deg}\left(\mathbf{a}(z)\right)$), and $z\mathbf{a}(z)\mathbf{d}_0\mathbf{b}(z) + \mathbf{c_0}$ from linearizations of the ...
Eunice Y.S. Chan +4 more
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Advanced Materials Technologies, EarlyView.This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding +5 more
wiley +1 more source
Polynomial Solutions to the Matrix Equation X−AXTB=C
Journal of Applied Mathematics, 2014 Solutions are constructed for the Kalman-Yakubovich-transpose equation X−AXTB=C. The solutions are stated as a polynomial of parameters of the matrix equation. One of the polynomial solutions is expressed by the symmetric operator matrix, controllability
Caiqin Song, Jun-e Feng
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