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math.AP2022★ 1 cited
On the number of solutions to the planar dual Minkowski problem
YanNan Liu, Jian Lu
The dual Minkowski problem in the two-dimensional plane is studied in this paper. By combining the theoretical analysis and numerical estimation of an integral with parameters, we…
cs.SC2022★ 2 cited
Maximizing the Sum of the Distances between Four Points on the Unit Hemisphere
Zhenbing Zeng, Jian Lu, Yaochen Xu +1
In this paper, we prove a geometrical inequality which states that for any four points on a hemisphere with the unit radius, the largest sum of distances between the points is 4+4*…