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Matematicheskie Zametki, 2020, Volume 107, Issue 6, Pages 888–893
DOI: https://doi.org/10.4213/mzm12617
(Mi mzm12617)
 

Estimating the Distance between Two Bodies inside an $n$-Ball of Unit Volume

F. A. Ivlevab, A. Ya. Kanelab

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b Shenzhen University
References:
Abstract: The problem of estimating the distance between two bodies of volume $\varepsilon$ inside an $n$-dimensional ball $U$ of unit volume as $n \to \infty$ is considered.
Keywords: minimal surface, multidimensional geometry, limit theorems.
Funding agency Grant number
Russian Science Foundation 17-11-01377
This work was supported by the Russian Science Foundation under grant 17-11-01377.
Received: 21.11.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 6, Pages 972–976
DOI: https://doi.org/10.1134/S0001434620050284
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: F. A. Ivlev, A. Ya. Kanel, “Estimating the Distance between Two Bodies inside an $n$-Ball of Unit Volume”, Mat. Zametki, 107:6 (2020), 888–893; Math. Notes, 107:6 (2020), 972–976
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm12617
  • https://doi.org/10.4213/mzm12617
  • https://www.mathnet.ru/eng/mzm/v107/i6/p888
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    Математические заметки Mathematical Notes
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    References:41
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