Zobrazeno 1 - 10
of 356
pro vyhledávání: '"P. Tatarko"'
Autor:
Drach, Kostiantyn, Tatarko, Kateryna
In this paper, we present sharp stability results for various reverse isoperimetric problems in $\mathbb R^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for $\lambda$-convex bodies -- convex bodies with the property
Externí odkaz:
http://arxiv.org/abs/2410.06096
We construct a convex body $K$ in $\mathbb{R}^n$, $n \geq 5$, with the property that there is exactly one hyperplane $H$ passing through $c(K)$, the centroid of $K$, such that the centroid of $K\cap H$ coincides with $c(K)$. This provides answers to
Externí odkaz:
http://arxiv.org/abs/2404.15188
We establish dimension-free stability of Webb's sharp simplex slicing (1996). Incidentally, we investigate Lipschitzness of volume of hyperplane central sections of arbitrary convex bodies.
Externí odkaz:
http://arxiv.org/abs/2403.11994
Autor:
Elaheh Khezri, Alexander Tatarko
Publikováno v:
Население и экономика, Vol 8, Iss 3, Pp 17-45 (2024)
Sanctions have become an established feature of the economic landscape in Russia and Iran and may lead to economic insecurity and distrust of political bodies among citizens. However, few studies have investigated the way individuals adapt to these s
Externí odkaz:
https://doaj.org/article/77b8e326efa444779aa0b065f5ae2fdf
Autor:
Drach, Kostiantyn, Tatarko, Kateryna
In this paper we solve several reverse isoperimetric problems in the class of $\lambda$-convex bodies, i.e., convex bodies whose curvature at each point of their boundary is bounded below by some $\lambda > 0$. We give an affirmative answer in $\math
Externí odkaz:
http://arxiv.org/abs/2303.02294
Autor:
Pietro Galizia, Andrea Uccello, Francesco Ghezzi, Luca Labate, Bruno Tiribilli, Ondrej Hanzel, Martina Salvadori, Fernando Brandi, Simone Failla, Cesare Melandri, Anna Cremona, Matteo Pedroni, Marco De Angeli, Enrico Perelli Cippo, Leonida Antonio Gizzi, Peter Tatarko, Diletta Sciti
Publikováno v:
Open Ceramics, Vol 20, Iss , Pp 100696- (2024)
The thermal properties of ultra-high temperature ceramics (UHTCs) in the MB2-WC (M = Ti, Zr, Hf) system and tungsten were studied for potential application as plasma-facing materials in fusion power plants. The sintered UHTC and tungsten samples were
Externí odkaz:
https://doaj.org/article/5f7d092c8990460dab1f12a3f25f3570
We show that there is a constant $D \approx 0.2016$ such that for every $n$, every convex body $K\subset \mathbb R^n$, and every hyperplane $H\subset \mathbb R^n$, the distance between the projection of the centroid of $K$ onto $H$ and the centroid o
Externí odkaz:
http://arxiv.org/abs/2212.14456
We investigate the weighted $L_p$ affine surface areas which appear in the recently established $L_p$ Steiner formula of the $L_p$ Brunn Minkowski theory. We show that they are valuations on the set of convex bodies and prove isoperimetric inequaliti
Externí odkaz:
http://arxiv.org/abs/2204.07611
Inspired by an $L_p$ Steiner formula for the $L_p$ affine surface area proved by Tatarko and Werner, we define, in analogy to the classical Steiner formula, $L_p$-Steiner quermassintegrals. Special cases include the classical mixed volumes, the dual
Externí odkaz:
http://arxiv.org/abs/2110.08659
Autor:
Rozhko Viktor I., Tatarko Darina Yu.
Publikováno v:
Bìznes Inform, Vol 12, Iss 551, Pp 439-446 (2023)
This article examines the role of marketing logistics in e-commerce. Marketing logistics covers the entire life cycle of a product, from production to delivery to the customer, and is therefore an important component of digital enterprises. Marketing
Externí odkaz:
https://doaj.org/article/b39f29e831de41458cdd9f39bd17549f