Results 61 to 70 of about 100,866 (281)
Journal of Mathematical Analysis and Applications, 1990 The abscissa of the point of intersection of the tangents of the graph of a convex function at two points is a mean-value of the abscissae of those two points. As generalizations, the author defines mean-values as abscissae of the point of intersection of Taylor or Hermite polynomials of odd degree n to \(C^{n+1}\) functions, convex of order n, at two ...
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Machine Learning‐Driven Variability Analysis of Process Parameters for Semiconductor Manufacturing
Advanced Intelligent Systems, EarlyView.This research presents a machine learning approach that integrates nonlinear variation decomposition (NLVD) with statistical techniques to quantify the contribution of individual unit processes to performance and variance of figure of merit (FoM) at the LOT level.
Sinyeong Kang +6 more
wiley +1 more source
A new type of Taylor series expansion
Journal of Inequalities and Applications, 2018 We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic ...
Mohammad Masjed-Jamei +3 more
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A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials [PDF]
Surveys in Mathematics and its Applications, 2021 The purpose of this article is to introduce a new subclass ℋΣ(δ,λ,m,θ,x) of analytic and bi-univalent functions by using the Horadam polynomials, which is associated with the Pascal distribution series and to investigate the bounds for |a2| and |a3 ...
H. M. Srivastava +2 more
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International Journal for Numerical Methods in Fluids, EarlyView.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
wiley +1 more source
Taylor Polynomials in a High Arithmetic Precision as Universal Approximators
ComputationFunction approximation is a fundamental process in a variety of problems in computational mechanics, structural engineering, as well as other domains that require the precise approximation of a phenomenon with an analytic function. This work demonstrates
Nikolaos Bakas
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The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations
Heliyon, 2020 This work presents the novel Leal-polynomials (LP) for the approximation of nonlinear differential equations of different kind. The main characteristic of LPs is that they satisfy multiple expansion points and its derivatives as a mechanism to replicate ...
Hector Vazquez-Leal +3 more
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Hybrid approximations for fractional calculus [PDF]
ITM Web of Conferences, 2019 In this paper, a numerical method for solving the fractional differential equations is presented. The method is based upon hybrid functions approximation.
Razzaghi Mohsen
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A Subdivision Solver for Systems of Large Dense Polynomials [PDF]
, 2016 We describe here the package {\tt subdivision\\_solver} for the mathematical software {\tt SageMath}. It provides a solver on real numbers for square systems of large dense polynomials.
Imbach, Rémi
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Polynomials and Taylor’s Approximations
Journal of the Institute of Engineering, 2017 The main objective of this article is to make a formal description of the polynomial, polynomial equations with definitions and their properties. Besides studying some of its uses in real life situations, we shall discuss polynomial approximation using higher order derivatives.Journal of the Institute of Engineering, 2016, 12(1): 214 ...
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