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On Properties of a Regular Simplex Inscribed into a Ball

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Publication:5870853
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DOI10.18255/1818-1015-2021-2-186-197zbMath1506.51016arXiv2105.07700OpenAlexW3163402746MaRDI QIDQ5870853

Mikhail Nevskii

Publication date: 24 January 2023

Published in: Modeling and Analysis of Information Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.07700


zbMATH Keywords

normballsimplexprojectorlinear interpolation


Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Continuity and differentiation questions (26B05)


Related Items (1)

On the minimal norm of a projection operator for linear interpolation on an \(n\)-dimensional ball




Cites Work

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  • Ellipsoids of maximal volume in convex bodies
  • Perfect simplices in \({\mathbb R}^5\)
  • Computation of the longest segment of a given direction in a simplex
  • The content of some extreme simplexes
  • Ukhalov Properties of (0, 1)-matrices of order n having maximal determinant
  • Geometric Estimates in Interpolation by Linear Functions on a Euclidean Ball




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