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On Some Problem for a Simplex and a Cube in Rⁿ

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 center at some point x ∈ Rⁿ . We obtain the follo...

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Autor Principal: M. V. Nevskii
Formato: Artigo
Idioma:Inglês
Publicado: Yaroslavl State University 2013-06-01
Series:Моделирование и анализ информационных систем
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Acceso en liña:https://www.mais-journal.ru/jour/article/view/196
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