Results 31 to 40 of about 84,169 (268)
Моделирование и анализ информационных систем, 2015 We consider a linear differential equation of second order with a small factor at the highest derivative. We study the problem of the asymptotic behavior of the eigenvalues of the first boundary value problem (task Dirichlet) in situation when the turning ...
S. A. Kaschenko
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Minimal model for tidal bore revisited
New Journal of Physics, 2019 This develops a recent analysis of gentle undular tidal bores (2018 New J. Phys. 20 053066) and corrects an error. The simplest linear-wave superposition, of monochromatic waves propagating according to the shallow-water dispersion relation, leads to a ...
M V Berry
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Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem
Моделирование и анализ информационных систем, 2013 A new asymptotic method for investigating complex relaxation oscillations of a system with delay was offered. Applying it, we can reduce the problem of predator-prey system dynamics to problem of one-dimensional maps analysis.
S. A. Kaschenko
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Mathematics, 2020 Let ( F n ) n ≥ 0 be the sequence of the Fibonacci numbers. The order (or rank) of appearance z ( n ) of a positive integer n is defined as the smallest positive integer m such that n divides F m .
Eva Trojovská
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Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation
Geosciences, 2023 This study considers the full waveform inversion (FWI) method based on the asymptotic solution of the Helmholtz equation. We provide frequency-dependent ray tracing to obtain the wave field used to compute the FWI gradient and calculate the modeled data.
Maxim Protasov +3 more
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The Exponentiated Power Alpha Index Generalized Family of Distributions: Properties and Applications
Mathematics, 2023 The study of hydrological characteristics has a vital role in designing, planning, and managing water resources. The selection of appropriate probability distributions and methods of estimations are basic elements in hydrology analyses.
Sajid Hussain +3 more
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The error term of the sum of digital sum functions, in arbitrary bases [PDF]
Notes on Number Theory and Discrete MathematicsLet k be a non-negative integer and p>1 be a positive integer. Let sₚ(k) be the sum of digits of k written in base p. In 1940, Bush proved that Aₚ(x)=Σₖ≤ₓsₚ(k) is asymptotic to ((p-1)/2)xlogₚx.
Erdenebileg Erdenebat, Ka Lun Wong
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Effect of damage accumulation on the asymptotic behavior of stresses ahead the crack tip
Вестник Самарского университета: Естественнонаучная серия, 2023 The subject of this study is the analysis of mechanical fields associated with a crack tip under creep conditions, taking into account the phenomenon of damage accumulation.
Dmitriy V. Chapliy +2 more
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On an Asymptotic Integral [PDF]
Proceedings of the Edinburgh Mathematical Society, 1956 1. This note gives an asymptotic evaluation of an integral of the formas n tends to infinity, where is a sequence of real-valued functions. The theorem to be established is a natural extension of B. Levi's generalised Laplace-Darboux theorem (1, 341-51); it gives a rule for evaluating a wider class of asymptotic integrals.
openaire +2 more sources
Basic asymptotic estimates for powers of Wallis’ ratios
Cubo, 2021 For any $a\in\R$, for every $n\in\N$, and for $n$-th Wallis' ratio $w_n:=\prod_{k=1}^n\frac{2k-1}{2k}$, the relative error $r_{\,\!_0}(a,n):=\big(v_{\,\!_0}(a,n)-w_n^a\big)/w_n^a$ of the approximation $w_n^a\approx v_{\,\!_0}(a,n):=(\pi n)^{-a/2} $ is ...
Vito Lampret
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