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.
               
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