Email this article The problem of shadow for balls with fixed radius
- Authors: Zelinskii Y.B.1, Vygovskaya I.Y.1, Dakhil H.K.2
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Affiliations:
- Institute of Mathematics of the NAS of Ukraine
- T.G. Shevchenko National University of Kiev
- Issue: Vol 224, No 4 (2017)
- Pages: 604-606
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239649
- DOI: https://doi.org/10.1007/s10958-017-3438-9
- ID: 239649
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Abstract
Our main purpose is the solution of the problem of shadow for a family of balls with fixed radius in the n-dimensional Euclidean space. Many similar problems were studied in the works of one of the authors and his disciples. This problem can be considered as the establishment of minimal conditions to ensure the membership of a point to the generalized convex hull of a family of balls with fixed radius.
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About the authors
Yurii B. Zelinskii
Institute of Mathematics of the NAS of Ukraine
Author for correspondence.
Email: zel@imath.kiev.ua
Ukraine, Kiev
Irina Yu. Vygovskaya
Institute of Mathematics of the NAS of Ukraine
Email: zel@imath.kiev.ua
Ukraine, Kiev
Hayjaa K. Dakhil
T.G. Shevchenko National University of Kiev
Email: zel@imath.kiev.ua
Ukraine, Kiev
