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The problem of shadow for balls with fixed radius

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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… Click to show full 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.

Keywords: shadow balls; fixed radius; balls fixed; problem shadow

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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