Results 21 to 30 of about 535 (181)
Algebraic restrictions on geometric realizations of curvature models [PDF]
, 2021 summary:We generalize a previous result concerning the geometric realizability of model spaces as curvature homogeneous spaces, and investigate applications of this approach.
Smith, Zoë, Dunn, Corey
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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
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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
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Hart–Mas-Colell consistency and the core in convex games [PDF]
, 2022 This paper formally introduces Hart–Mas-Colell consistency for general (possibly multi-valued) solutions for cooperative games with transferable utility. This notion is used to axiomatically characterize the core on the domain of convex games.
Dietzenbacher, Bas; id_orcid +2 more
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On Some Problem for a Simplex and a Cube in Rⁿ
Моделирование и анализ информационных систем, 2013 Let S be a nondegenerate simplex in Rⁿ. Denote by α(S) the minimal σ > 0 such that the unit cube Qn:= [0, 1]ⁿ is contained in a translate of σS. In the case α(S) ≠ 1 the translate of α(S)S containing Qn is a homothetic copy of S with the homothety ...
M. V. Nevskii
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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
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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
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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
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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
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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
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