Affine Diameters of a Convex Body
- Autores: Makeev V.V.1, Zvagel’skii M.Y.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 212, Nº 5 (2016)
- Páginas: 542-543
- Seção: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/237058
- DOI: https://doi.org/10.1007/s10958-016-2684-6
- ID: 237058
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Resumo
We prove that each convex body in ℝn has n pairwise orthogonal affine diameters d1, . . . , dn such that it is possible to shift each of them through a linear combination of direction vectors of the diameters with smaller numbers so that their translates will intersect at their common midpoint.
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Sobre autores
V. Makeev
St. Petersburg State University
Autor responsável pela correspondência
Email: mvv57@inbox.ru
Rússia, St. Petersburg
M. Zvagel’skii
St. Petersburg State University
Email: mvv57@inbox.ru
Rússia, St. Petersburg
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