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math.MG2016
Weighted sums of the squares of the distances of a point to the sidelines of a triangle
Georgi Ganchev, Nikolai Nikolov
We study a function, which is a weighted sum of the squares of the distances of an arbitrary point to the sidelines of a triangle. The given weights, considered as barycentric coor…
math.MG2016★ 1 cited
Boundary behavior of the quasi-hyperbolic metric
Nikolai Nikolov, Pascal J. Thomas
The precise behavior of the quasi-hyperbolic metric near a -smooth part of the boundary of a domain in is obtained.