In this paper, we focus on integer sequences corresponding to the number of vertices in k-iterated line digraphs. We begin by introducing the core concepts related to digraphs. Then, we describe a method, proposed by ...
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Measurements of two-neutrino double beta decay (2νββ) have played a key role in advancing the understanding of neutrino properties. Further exploration of 2νββ and its possible exotic decay modes (decay with rig...
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The Fermat principle is used for the analysis of light propagation in the metric of a black hole. It is shown how to apply the Lindstedt - Poincare method of solving perturbatively the nonlinear oscillations to the de...
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We describe a general procedure which allows to construct, given a family of Hamiltonians H(q̲,p̲;λ̲), a single new Hamiltonian H̃(q̲,p̲) such that, on each level set of H̃, the unparametrized orbits are those of a l...
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We describe a general procedure which allows to construct, given a family of Hamiltonians H(q̲,p̲;λ̲), a single new Hamiltonian H̃(q̲,p̲) such that, on each level set of H̃, the unparametrized orbits are those of a level set of H with the values of parameters λ̲ varying with the value of H̃. The symmetry structure of H̃ can be completely characterized, provided the symmetries of initial family are known. Our approach covers numerous models considered in literature as well as it allows to construct novel ones. It provides a far reaching generalization of the Hietarinta et al. coupling-constant metamorphosis method and another proof of the Darboux theorem.
Analytical model of nonradiative energy migration (homotransfer) within the set of chemically identical fluorophores distributed on the surface of a spherical nanoparticle is for the first time presented. The expressi...
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Analytical model of nonradiative energy migration (homotransfer) within the set of chemically identical fluorophores distributed on the surface of a spherical nanoparticle is for the first time presented. The expression for emission anisotropy decay is obtained. The method of Green’s function was used to solve the master equation describing this stochastic process. An expansion in powers of the fluorophore density to investigate this finite volume problem was employed. A very good result for the Green function directly related to emission anisotropy was obtained by using the Padé approximant. It was found that emission anisotropy decay depends strongly not only on the number of fluorophores linked to the spherical nanoparticles but also on the ratio of critical radius to nanoparticle radius, which is crucial for the optimal design of antenna-like nanostructures. Coherence of the model was verified by Monte Carlo simulations and excellent quantitative agreement was found between theoretical and Monte Carlo simulation results.
In this paper, we propose a model enabling the creation of a social graph corresponding to real society. The procedure uses data describing the real social relations in the community, like marital status or number of ...
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The geodesics of Kerr’s metric are described by the four-dimensional Hamiltonian dynamics integrable in the Arnold-Liouville sense. It can be reduced to two-dimensional one by the use of Fermat’s principle. The resu...
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This study aimed to 1) assess the improvement in problem-solving abilities related to surface area and volume of 3D shapes among students using STAD cooperative learning with GSP compared to Lecture-oriented teaching,...
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Extensive Air Showers(EAS)induced by cosmic ray particles of very low energies,owing to the significantly steep cosmic ray energy spectrum,dominate the secondary particle flux measured by single detectors and small sh...
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Extensive Air Showers(EAS)induced by cosmic ray particles of very low energies,owing to the significantly steep cosmic ray energy spectrum,dominate the secondary particle flux measured by single detectors and small shower *** arrays connected in extended networks can be used to determine potentially interesting spatial correlations between showers,which may shed new light on the nature of ultra high-energy cosmic *** quantitative interpretation of showers recorded by small local arrays requires a methodology that differs from that used by ordinary large EAS arrays operating in the"knee"region and *** present"small EAS generator,"a semi-analytical method for integrating cosmic ray spectra over energies of interest and summing over the mass spectra of primary nuclei in arbitrary detector ***,we provide results on the EAS electron and muon fluxes and particle density spectra.
The concept of neutrino oscillations is revisited. Using the Quantum Field Theory approach and applying plane waves for the initial and final states, the processes of neutrino production, propagation, and detection ar...
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