Results 51 to 60 of about 4,343 (294)
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
doaj +1 more source
Means and Averages of Taylor Polynomials
Journal of Mathematical Analysis and Applications, 1993 Let \(f\) have a continuous \((r+ 1)\)st derivative, nowhere 0 on \([a,b]\) and \(P_ c\) its Taylor polynomial at \(c\). Noting that \(P_ a(M)= P_ b(M)\), if \(r\) is odd, and \(2f(M)= P_ a(M)+ P_ b(M)\), if \(r\) is even, have unique solutions, the author denotes these by \(M^ r_ p\) if \(f(x)= x^ p\) (creating some confusion with his previous ...
openaire +1 more source
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Efficient thermal management in advanced industrial systems requires improved heat transfer performance, particularly under non‐Newtonian fluid behavior and complex surface geometries. This study investigates the two‐dimensional flow and heat transfer characteristics of ternary hybrid nanofluids over both stationary and moving wedge surfaces ...
A. O. Akindele +4 more
wiley +1 more source
A Construction Of Primitive Polynomials Over Finite Fields [PDF]
, 2017 In this work, a new construction based on companion matrices of primitive polynomials is provided. Given two primitive polynomials over the finite fields (Formula presented.) and (Formula presented.), we construct a ring isomorphism that transforms the ...
Cardell S.D., Climent J.-J.
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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
doaj
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Neural correlates of resilience to trauma during adolescence: A multi‐modal study
JCPP Advances, EarlyView.Abstract Background Understanding resilience mechanisms is important for advancing early intervention strategies, yet research on the neurobiology of resilience in adolescents is limited. The present study examined the brain structural and resting‐state functional connectivity (rsFC) correlates of resilience to internalizing and externalizing symptoms ...
Lu Zhang +3 more
wiley +1 more source
Computational Algorithm for Covariant Series Expansions in General Relativity
EPJ Web of Conferences, 2018 We present a new algorithm for computing covariant power expansions of tensor fields in generalized Riemannian normal coordinates, introduced in some neighborhood of a parallelized k-dimensional submanifold (k = 0, 1, . . .< n; the case k = 0 corresponds
Potashov Ivan, Tsirulev Alexander
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NON-ARCHIMEDEAN YOMDIN–GROMOV PARAMETRIZATIONS AND POINTS OF BOUNDED HEIGHT
Forum of Mathematics, Pi, 2015 We prove an analog of the Yomdin–Gromov lemma for $p$-adic definable sets and more broadly in a non-Archimedean definable context. This analog keeps track of piecewise approximation by Taylor polynomials, a nontrivial aspect in the totally disconnected ...
RAF CLUCKERS +2 more
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A New Decomposition Method for Integro-Differential Equations
Cumhuriyet Science Journal, 2022 This present study developed a new Modified Adomian Decomposition Method (MADM) for integro-differential equations. The modification was carried out by decomposing the source term function into series.
Kabiru Kareem, Morufu Oyedunsi Olayiwola
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