Results 21 to 30 of about 1,508,171 (301)

Hermite Subdivision Schemes and Taylor Polynomials [PDF]

Constructive Approximation, 2008
The authors propose a general study of the convergence of a Hermite subdivision scheme \(\mathcal H\) of degree \(d>0\) in dimension \(1\). Under the spectral condition, authors transform the Hermite subdivision scheme \(\mathcal H\) into the Taylor subdivision scheme \(\mathcal S\).
Dubuc, Serge, Merrien, Jean-Louis
openaire   +4 more sources

Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

International Journal of Mathematics and Mathematical Sciences, 2023
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials.
Waleed Al-Rawashdeh
doaj   +1 more source

Recursion Relations for Chromatic Coefficients for Graphs and Hypergraphs

Discussiones Mathematicae Graph Theory, 2022
We establish a set of recursion relations for the coefficients in the chromatic polynomial of a graph or a hypergraph. As an application we provide a generalization of Whitney’s broken cycle theorem for hypergraphs, as well as deriving an explicit ...
Durhuus Bergfinnur, Lucia Angelo
doaj   +1 more source

A numerical method for solving continuous population models for single and interacting species

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In thisstudy, a numerical approach is presented to obtain the approximate solutions ofcontinuous population models for single and interacting species.
Elçin Gökmen, Elçin Çelik
doaj   +1 more source

The evaluation of the order of approximation of the matrix method for numerical integration of the boundary value problems for systems of linear non-homogeneous ordinary differential equations of the second order with variable coefficients. Message 1. Boundary value problems with boundary conditions of the first kind

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We present the first message of the cycle from two articles where the rearrangement of the order of approximation of the matrix method of numerical integration depending on the degree in the Taylor’s polynomial expansion of solutions of boundary value ...
Vladimir N Maklakov
doaj   +1 more source

The use of pseudoresiduals in the study of convergence of unstable difference boundary value problems for linear nonhomogeneous ordinary second-order differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
The paper considers the previously proposed method of numerical integration using the matrix calculus in the study of boundary value problems for nonhomogeneous linear ordinary differential equations of the second order with variable coefficients ...
Vladimir N. Maklakov
doaj   +1 more source

Sharp Taylor Polynomial Enclosures in One Dimension

CoRR, 2023
It is often useful to have polynomial upper or lower bounds on a one-dimensional function that are valid over a finite interval, called a trust region. A classical way to produce polynomial bounds of degree $k$ involves bounding the range of the $k$th derivative over the trust region, but this produces suboptimal bounds.
Matthew Streeter, Joshua V. Dillon
openaire   +3 more sources

α‐Synuclein Forms Distinct Micelle‐Like Assemblies at Low Ionic Strengths

Advanced Science, EarlyView.
At high ionic strength, α‐synuclein forms diverse assemblies, including oligomers, fibrils, and condensates. Here, we show that at low ionic strength, α‐synuclein adopts a distinct, low‐abundance assembly state. These assemblies maintain a constant size above a critical concentration and do not coalesce, suggesting a micelle‐like organization ...
Sophie Hertel, Soumik Ray, Federica Saraceno, Giacomo Nisini, Georgia Nasi, Thomas Oliver Mason, Antonin Kunka, Effrosyni Agrimaki, Dannie Juul Olesen, Francesco Simone Ruggeri, Alexander K. Buell   +10 more
wiley   +1 more source

Estimation of the order of the matrix method approximation of numerical integration of boundary-value problems for the second order inhomogeneous linear ordinary differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
Using the first three terms of Taylor expansion of the required function in the approximate derivative by finite differences leads to the second order approximation of the traditional numerical quadrature method of boundary value problems for linear ...
Vladimir N Maklakov
doaj   +1 more source

Determinants of Knowledge and Usage of Generative Artificial Intelligence in Agricultural Extension: Evidence From Tennessee Extension Personnel

Agribusiness, EarlyView.
ABSTRACT This paper examines the determinants of generative AI (GenAI) knowledge and usage among agricultural extension professionals. Drawing on survey data from agricultural extension personnel in Tennessee, we employ regression analyses and latent Dirichlet allocation (LDA) for topic modeling of open‐ended responses to study the knowledge and usage ...
Abdelaziz Lawani, Jason de Koff, James Muriuki, Anna‐Liisa Ihuhwa   +3 more
wiley   +1 more source