Results 61 to 70 of about 625,582 (261)

Near solutions of polynomial equations [PDF]

Acta Arithmetica, 2006
Summary: Let \(F(x,y)\) be a polynomial over a field \(K\) with its \(y\) degree equal to \(t\) and \(m\) be a nonnegative integer. We call a polynomial \(g(x)\) over \(K\) an \(m\)-near solution of \(F(x,y)\) if there exists a \(c\in K\) such that \(F(x, g(x))= cx^m\), and the number \(c\) is called an \(m\)-value of \(F(x, y)\) corresponding to \(g(x)
openaire   +2 more sources

Unleashing the Power of Machine Learning in Nanomedicine Formulation Development

Advanced Functional Materials, EarlyView.
A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore, Cristiano Pesce, Antonietta Greco, Claudia Pisante, Greta Avancini, Valentina Di Francesco, Yosi Shamay, Paolo Decuzzi   +7 more
wiley   +1 more source

Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay

International Journal of Mathematics and Mathematical Sciences, 2015
We investigate an analytic solution of the second-order differential equation with a state derivative dependent delay of the form x″(z)=x(p(z)+bx′(z)). Considering a convergent power series g(z) of an auxiliary equation γ2g″(γz)g′(z)=[g(γ2z)-p(g(γz))]γg′(
Jiraphorn Somsuwan, Keaitsuda Maneeruk Nakprasit   +1 more
doaj   +1 more source

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source

Computation of rational solutions for a first-order nonlinear differential equation

Electronic Journal of Differential Equations, 2011
In this article, we study differential equations of the form $y'=sum A_i(x)y^i/sum B_i(x)y^i$ which can be elliptic, hyperbolic, parabolic, Riccati, or quasi-linear. We show how rational solutions can be computed in a systematic manner.
Djilali Behloul, Sui Sun Cheng
doaj  

Polynomial computation of Hankel singular values [PDF]

, 1992
A revised and improved version of a polynomial algorithm is presented. It was published by N.J. Young (1990) for the computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with a rotational ...
Kwakernaak, Huibert
core   +1 more source

Cardiac‐Derived ECM Microspheres for Enhanced hiPSC‐CMs Maturation

Advanced Functional Materials, EarlyView.
Cardiac extracellular matrix microspheres derived from decellularized porcine heart provide a biomimetic 3D microenvironment for human induced pluripotent stem cell–derived cardiomyocytes (hiPSC‐CMs). This platform supports short‐ and long‐term culture, enhances structural organization, and promotes electrophysiological and functional maturation of ...
Jiazhu Xu, Joel Aboagye, Marcella Edwards, Nick Rogozinski, Yufeng Wen, Angello Huerta Gomez, Zui Pan, Ge Zhang, Huaxiao Yang, Yi Hong   +9 more
wiley   +1 more source

On the Low-Degree Solution of the Sylvester Matrix Polynomial Equation

Journal of Mathematics, 2021
We study the low-degree solution of the Sylvester matrix equation A1λ+A0Xλ+YλB1λ+B0=C0, where A1λ+A0 and B1λ+B0 are regular. Using the substitution of parameter variables λ, we assume that the matrices A0 and B0 are invertible. Thus, we prove that if the
Yunbo Tian, Chao Xia
doaj   +1 more source

Counterion Dependent Side‐Chain Relaxation Stiffens a Chemically Doped Thienothiophene Copolymer

Advanced Functional Materials, EarlyView.
Oxidation of a thienothiophene copolymer, p(g3TT‐T2), via different doping strategies and dopant molecules resulted in materials with similar oxidation levels and a high electrical conductivity of ≈100 S cm−1. However, mechanical properties varied significantly, with sub‐glass transition temperatures and elastic moduli spanning from –44°C to –3°C and ...
Mariavittoria Craighero, Meghna Jha, Elsa Veronica Flores‐Vela, Joost Kimpel, Andreas Schaefer, Jiali Guo, Jesika Asatryan, Alberto Peinador Veiga, Shuichi Haraguchi, Per‐Anders Carlsson, Jaime Martín, Mariano Campoy‐Quiles, Christian Müller   +12 more
wiley   +1 more source

The uniform approximation of polynomials by polynomials of lower degree [PDF]

, 1974
approximation, in a given interval,of a polynomial of degree in by a polynomial of degree n < m has been solved analytically in only two cases: (i) by Chebyshev, when m = n + 1, (ii) by Zolotarev, when m = n + 2.
Talbot, A
core   +1 more source