Results 21 to 30 of about 1,040 (166)
A convex combinatorial property of compact sets in the plane and its roots in lattice theory [PDF]
Categories and General Algebraic Structures with Applications, 2019 K. Adaricheva and M. Bolat have recently proved that if $\,\mathcal U_0$ and $\,\mathcal U_1$ are circles in a triangle with vertices $A_0,A_1,A_2$, then there exist $j\in \{0,1,2\}$ and $k\in\{0,1\}$ such that $\,\mathcal U_{1-k}$ is included in the ...
Gábor Czédli, Árpád Kurusa
doaj +1 more source
New Estimates of Numerical Values Related to a Simplex
Моделирование и анализ информационных систем, 2017 Let \(n\in {\mathbb N}\) and \(Q_n=[0,1]^n\). For a nondegenerate simplex \(S\subset {\mathbb R}^n\), by \(\sigma S\) we denote the homothetic copy of~\(S\) with center of homothety in the center of gravity of \(S\) and ratio of~homothety \(\sigma\). By
Mikhail V. Nevskii, Alexey Yu. Ukhalov
doaj +1 more source
Brodogradnja, 2023 In this paper, exact hydrostatic particulars equations for the centre of buoyancy curve and metacentric locus curve are given for rectangular cross section using quadratic functions. Those equations have not been given for the hyperbola range of the heel
Dario Ban
doaj +1 more source
On n-Dimensional Simplices Satisfying Inclusions S ⊂ [0, 1]n ⊂ nS
Моделирование и анализ информационных систем, 2017 Let \(n\in{\mathbb N}\), \(Q_n=[0,1]^n.\) For a nondegenerate simplex \(S\subset {\mathbb R}^n\), by \(\sigma S\) we denote the homothetic image of \(S\) with the center of homothety in the center of gravity of \(S\) and ratio of homothety ...
Mikhail V. Nevskii, Alexey Y. Ukhalov
doaj +1 more source
On Some Problems for a Simplex and a Ball in Rn
Моделирование и анализ информационных систем, 2018 Let \(C\) be a convex body and let \(S\) be a nondegenerate simplex in \({\mathbb R}^n\). Denote by \(\tau S\) the image of \(S\) under homothety with a center of homothety in the center of gravity of \(S\) and the ratio \(\tau\). We mean by \(\xi(C;S)\)
Mikhail V. Nevskii
doaj +1 more source
IEEE Access, 2020 Two existing theorems for studying pinched hysteresis loops generated by nonlinear higher-order elements from Chua's table are reformulated, namely the generalized homothety theorem and the associated Loop Location Rule, specifying the coordinates where ...
Zdenek Biolek +3 more
doaj +1 more source
On a geometric approach to the estimation of interpolation projectors
Моделирование и анализ информационных систем, 2023 Suppose $\Omega$ is a closed bounded subset of ${\mathbb R}^n,$ $S$ is an $n$-dimensional non-degenerate simplex, $\xi(\Omega;S):=$ min {$\sigma\geqslant 1: \Omega\subset \sigma S$}.
Mikhail V. Nevskii, Alexey Y. Ukhalov
doaj +1 more source
Homotheties of Finsler manifolds∗
SUT Journal of Mathematics, 2010 We give a new and complete proof of the following theorem, discovered by Detlef Laugwitz: (forward) complete and connected finite dimensional Finsler manifolds admitting a proper homothety are Minkowski vector spaces. More precisely, we show that under these hypotheses the Finsler manifold is isometric to the tangent Minkowski vector space of the fixed
Lovas, Rezsö L., Szilasi, József
openaire +2 more sources
On Minimal Absorption Index for an n-Dimensional Simplex
Моделирование и анализ информационных систем, 2018 Let \(n\in{\mathbb N}\) and let \(Q_n\) be the unit cube \([0,1]^n\). For a nondegenerate simplex \(S\subset{\mathbb R}^n\), by \(\sigma S\) denote the homothetic copy of \(S\) with center of homothety in the center of gravity of \(S\) and ratio of ...
Mikhail V. Nevskii, Alexey Y. Ukhalov
doaj +1 more source