Results 21 to 30 of about 15,352,997 (261)
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 Properties of a Regular Simplex Inscribed into a Ball
Моделирование и анализ информационных систем, 2021 Let $B$ be a Euclidean ball in ${\mathbb R}^n$ and let $C(B)$ be a space of continuos functions $f:B\to{\mathbb R}$ with the uniform norm $\|f\|_{C(B)}:=\max_{x\in B}|f(x)|.$ By $\Pi_1\left({\mathbb R}^n\right)$ we mean a set of polynomials of degree ...
Mikhail Viktorovich Nevskii
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Entropy, 2023 What are conscious experiences? Can they combine to form new experiences? What are conscious subjects? Can they combine to form new subjects? Most attempts to answer these questions assume that spacetime, and some of its particles, are fundamental ...
Donald D. Hoffman +2 more
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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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Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence
Mathematics, 2021 In this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way).
Steven Duplij
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A tight colored Tverberg theorem for maps to manifolds (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Any continuous map of an $N$-dimensional simplex $Δ _N$ with colored vertices to a $d$-dimensional manifold $M$ must map $r$ points from disjoint rainbow faces of $Δ _N$ to the same point in $M$, assuming that $N≥(r-1)(d+1)$, no $r$ vertices of $Δ _N ...
Pavle V. M. Blagojević +2 more
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Modeling Economy of Information Security of Business Entity Based on Simplex-Method
Вестник Российского экономического университета имени Г. В. Плеханова, 2021 In the field of information security it is always necessary to support a required level of protection, which can cause serious financial costs. The more information you should protect, the more money you should spend on it.
V. A. Sizov, A. A. Drozhkin
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Научно-технический вестник информационных технологий, механики и оптикиThe paper describes three ways of calculating the k-dimensional volume of the k-dimensional simplex in the n-dimensional Euclidean space (n ≥ k) in the canonical barycentric coordinate system.
M. A. Stepanova
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A Fast-Pivoting Algorithm for Whittle’s Restless Bandit Index
Mathematics, 2020 The Whittle index for restless bandits (two-action semi-Markov decision processes) provides an intuitively appealing optimal policy for controlling a single generic project that can be active (engaged) or passive (rested) at each decision epoch, and ...
José Niño-Mora
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Discrete Analysis, 2023 The Shadow Knows: Empirical Distributions of Minimal Spanning Acycles and Persistence Diagrams of Random Complexes, Discrete Analysis 2023:2, 18 pp. This paper deals with the following natural and important question.
Nicolas Fraiman +2 more
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