Results 51 to 60 of about 84,169 (268)
On the Growth of Some Functions Related to z(n)
The order of appearance z : Z > 0 → Z > 0 is an arithmetic function related to the Fibonacci sequence ( F n ) n . This function is defined as the smallest positive integer solution of the congruence F k ≡ 0 ( mod n )
Pavel Trojovský
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
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Asymptotic Density and the Asymptotics of Partition Functions
17 pages.
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Spacelike surface families interpolating common asymptotic curves in Minkowski 3-space
In this paper, we propose a method for constructing families of spacelike surfaces in Minkowski 3-spaceE13 that share Bertrand curves as asymptotic curves.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Asymptotic Formula for the Moments of Takagi Function
Takagi function is a simple example of a continuous but nowhere differentiable function. It is defined by T(x) = ∞ ᢘ k=0 2−nρ(2nx), where ρ(x) = min k∈Z |x − k|. The moments of Takagi function are defined as Mn = ᝈ 1 0 xnT(x) dx.
E. A. Timofeev
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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Asymptotics of Asynchronicity [PDF]
In this article we focus on estimating the quadratic covariation of continuous semimartingales from discrete observations that take place at asynchronous observation times. The Hayashi-Yoshida estimator serves as synchronized realized covolatility for that we give our own distinct illustration based on an iterative synchronization algorithm.
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For singularly perturbed second order equations the dependence of eigenvalues of the first boundary problem on a small parameter at the highest derivative is studied.
S. A. Kashchenko
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Karl Popper and the Mechanisms of Hydrogen Embrittlement
Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
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Polylogarithms and the Asymptotic Formula for the Moments of Lebesgue’s Singular Function
Recall the Lebesgue's singular function. We define a Lebesgue's singular function \(L(t)\) as the unique continuous solution of the functional equation$$L(t) = qL(2t) +pL(2t-1),$$where \(p,q>0\), \(q=1-p\), \(p\ne q\).The moments of Lebesque' singular
E. A. Timofeev
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