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 f...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2013-06-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/196 |