Results 11 to 20 of about 64,339 (258)
Asymptotic Analysis of Regular Sequences [PDF]
Abstract In this article, q-regular sequences in the sense of Allouche and Shallit are analysed asymptotically. It is shown that the summatory function of a regular sequence can asymptotically be decomposed as a finite sum of periodic fluctuations multiplied by a scaling factor. Each of these terms corresponds to an eigenvalue of the sum of matrices of
Clemens Heuberger, Daniel Krenn
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In the framework of 2D-elasticity, an equilibrium problem for an inhomogeneous body with a curvilinear inclusion located strictly inside the body is considered. The elastic properties of the inclusion are assumed to depend on a small positive parameter δ
Evgeny Rudoy, Sergey Sazhenkov
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The quasi-potential approach is very famous in modern relativistic particles physics. This approach is based on the so-called covariant single-time formulation of quantum field theory in which the dynamics of fields and particles is described on a space ...
Ilkizar V. Amirkhanov +2 more
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Asymptotic analysis on premixed flames with high-temperature combustible mixtures was performed to elucidate the instability of flame fronts. Planar premixed flames with sufficiently low Mach numbers were treated, and a one-step irreversible chemical ...
Satoshi KADOWAKI
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On the number of decomposable trees [PDF]
A tree is called $k$-decomposable if it has a spanning forest whose components are all of size $k$. Analogously, a tree is called $T$-decomposable for a fixed tree $T$ if it has a spanning forest whose components are all isomorphic to $T$. In this paper,
Stephan G. Wagner
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A Model for Reinfections and the Transition of Epidemics
Reinfections of infected individuals during a viral epidemic contribute to the continuation of the infection for longer periods of time. In an epidemic, contagion starts with an infection wave, initially growing exponentially fast until it reaches a ...
Yannis C. Yortsos, Jincai Chang
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AbstractThe asymptotic behavior of the gamma function for large values of its argument can be summarized as follows: for any a ≥ 0, we have the following asymptotic equivalences (see Titchmarsh (The Theory of Functions, 2nd edn. Oxford University Press, Oxford, 1939, Section 1.87)) $$\displaystyle \begin{aligned} \Gamma (x+a) ~\sim ~ x^a\,\Gamma (x ...
Jean-Luc Marichal, Naïm Zenaïdi
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Analytic Combinatorics of the Mabinogion Urn [PDF]
The Mabinogion urn is a simple model of the spread of influences amongst versatile populations. It corresponds to a non-standard urn with balls of two colours: each time a ball is drawn, it causes a ball of the other kind to switch its colour.
Philippe Flajolet, Thierry Huillet
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Sequential Interval Reliability for Discrete-Time Homogeneous Semi-Markov Repairable Systems
In this paper, a new reliability measure, named sequential interval reliability, is introduced for homogeneous semi-Markov repairable systems in discrete time.
Vlad Stefan Barbu +2 more
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Asymptotic analysis of the steady advection-diffusion problem in axial domains [PDF]
We present the asymptotic analysis of the steady advection-diffusion equation in a thin tube. The problem is modeled in a mixed-type variational formulation, in order to separate the phenomenon in the axial direction and a transverse one.
Fernando A. Morales
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