Results 31 to 40 of about 356,435 (256)

Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem

open access: yesМоделирование 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
doaj   +1 more source

On the Diophantine Equation z(n) = (2 − 1/k)n Involving the Order of Appearance in the Fibonacci Sequence

open access: yesMathematics, 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
doaj   +1 more source

Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation

open access: yesGeosciences, 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
doaj   +1 more source

The Exponentiated Power Alpha Index Generalized Family of Distributions: Properties and Applications

open access: yesMathematics, 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
doaj   +1 more source

The error term of the sum of digital sum functions, in arbitrary bases [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Let 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
doaj   +1 more source

Discovering asymptotic expansions for problems in mechanics using symbolic regression [PDF]

open access: yes
Recently, symbolic regression (SR) has demonstrated its efficiency for discovering basic governing relations in physical systems. A major impact can be potentially achieved by coupling symbolic regression with asymptotic methodology.
Abdusalamov, Rasul   +2 more
core   +1 more source

Effect of damage accumulation on the asymptotic behavior of stresses ahead the crack tip

open access: yesВестник 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
doaj   +1 more source

Basic asymptotic estimates for powers of Wallis’ ratios

open access: yesCubo, 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
doaj   +1 more source

Asymptotic Ruin Probability of a Bidimensional Risk Model Based on Entrance Processes with Constant Interest Rate

open access: yesRisks, 2018
In this paper, the risk model with constant interest based on an entrance process is investigated. Under the assumptions that the entrance process is a renewal process and the claims sizes satisfy a certain dependence structure, which belong to the ...
Hongmin Xiao, Lin Xie
doaj   +1 more source

The asymptotic squeeze principle and the Binary Goldbach Conjecture : The asymptotic squeeze principle [PDF]

open access: yes, 2023
In this paper, we prove the special squeeze principle for all sufficiently large n ∈ 2N.
Agama, Theophilus
core   +1 more source

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