Results 31 to 40 of about 4,343 (294)

Graphs of taylor polynomials [PDF]

, 2016
Choose the maximum degree of the Taylor polynomial to use to approximate a variety of functions and manipulate the expansion point. To see the error in the approximation, select the "error" checkbox and use the slider that appears under the graph. Adjust
Brown, Abby
core   +2 more sources

Numerical integration by the matrix method of boundary value problems for linear inhomogeneous ordinary differential equations of the third order with variable coefficients

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
The use of the Taylor polynomial of the second degree when approximating the derivatives by finite differences leads to the second order of approximation of the traditional method of nets in the numerical integration of second-order ordinary differential
Vladimir N Maklakov, Yanina G Stelmakh
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   +2 more sources

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +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

Measuring Nutrition Security Using the Consumer Food Data System Datasets

Applied Economic Perspectives and Policy, EarlyView.
ABSTRACT Nutrition security is an emerging concept lacking a consensus definition, conceptualization, or standardized measure. This perspectives manuscript synthesizes findings from two previously published analyses to assess the feasibility of using available measures of key dimensions of nutrition security from two Consumer Food Data System (CFDS ...
Vibha Bhargava, Jung Sun Lee, Travis A. Smith   +2 more
wiley   +1 more source

Taylor Polynomials [PDF]

, 2006
Before the age of calculators, studying functions such as sin x, cos x , ex , and ln x was quite time consuming. The graphs of these functions are important when studying their characteristics. James Gregory, a Scottish mathematician in the 17th century,
Glasshoff, Doug
core   +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

Taylor Polynomials II [PDF]

, 2001
Using Maple, Mathmatica, or MatLab, learner should be able to continue study of polynomial approximations Pn(x) to a function f(x) (begun in Taylor Polynomials I); in particular, to study the set of numbers x for which Pn(x) approaches f(x) as n becomes ...
Smith, David; Moore, Lawrence
core