Zobrazeno 1 - 10
of 2 591
pro vyhledávání: '"Nikonorov, A. A."'
Autor:
Berestovskii, V. N., Nikonorov, Yu. G.
This paper is devoted to the study of the $m$-point homogeneity property for the vertex sets of polytopes in Euclidean spaces. In particular, we present the classifications of $2$-point and $3$-point homogeneous polyhedra in $\mathbb{R}^3$.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2408.09911
In traditional neural network architectures, a multilayer perceptron (MLP) is typically employed as a classification block following the feature extraction stage. However, the Kolmogorov-Arnold Network (KAN) presents a promising alternative to MLP, o
Externí odkaz:
http://arxiv.org/abs/2407.05278
Autor:
Nikonorov, Yu. G.
The paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphic connected and simply connected nilpotent Lie groups, every of which
Externí odkaz:
http://arxiv.org/abs/2402.17548
Spontaneous emission, collective phenomena and the efficiency of plasmon-stimulated photo-excitation
Publikováno v:
Photonics and Nanostructures - Fundamentals and Applications 61 (2024) 101297
We find that the spontaneous and collective emissions have a strong influence on the excitation of two-level absorbers (atoms, molecules) interacting in resonance with the plasmonic mode near the metal nanoparticle. The spontaneous and collective emi
Externí odkaz:
http://arxiv.org/abs/2401.09137
Autor:
Berestovskii, V. N., Nikonorov, Yu. G.
The paper is devoted to perfect and almost perfect homogeneous polytopes in Euclidean spaces. We classified perfect and almost perfect polytopes among all regular polytopes and all semiregular polytopes excepting Archimedean solids and two four-dimen
Externí odkaz:
http://arxiv.org/abs/2304.12211
The paper is devoted to some extremal problems for convex polygons on the Euclidean plane, related to the concept of self Chebyshev radius for the polygon boundary. We consider a general problem of minimization of the perimeter among all $n$-gons wit
Externí odkaz:
http://arxiv.org/abs/2301.03218
Publikováno v:
Регионология, Vol 32, Iss 2, Pp 326-344 (2024)
Introduction. Assessment of urbanized areas in terms of their sustainable development and rational use of resource and environmental potential remains the most demanded in modern conditions, because in certain cases it opens up opportunities for prev
Externí odkaz:
https://doaj.org/article/50125179475848328d67ebd56332b459
Autor:
Nikonorov, Yu. G., Nikonorova, O. Yu.
The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple formulations, but rather intricate proofs. Related and still unsolved problems are
Externí odkaz:
http://arxiv.org/abs/2209.05940
Autor:
Amir Moussaoui, Dmitry V. Bulyga, Aleksandr I. Ignatiev, Sergey K. Evstropiev, Nikolay V. Nikonorov
Publikováno v:
Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki, Vol 24, Iss 1, Pp 1-10 (2024)
Synthesis of nanocrystalline yttrium-aluminum garnet doped with neodymium was performed via modified Pechini methods. Evolution of material during synthesis was studied using differential thermal analysis; the structure and morphology of synthesize
Externí odkaz:
https://doaj.org/article/fda58a47b5b347c6a354e54b690039aa
Publikováno v:
Filomat, 37:25 (2023), 8405-8424
This paper is devoted to the study the $m$-point homogeneity property and the point homogeneity degree for finite metric spaces. Since the vertex sets of regular polytopes, as well as of some their generalizations, are homogeneous, we pay much attent
Externí odkaz:
http://arxiv.org/abs/2206.13096