37 citations · 154 across the 20 of their papers we have counts for
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Random Distances Associated with Arbitrary Triangles: A Systematic Approach between Two Random Points
Fei Tong, Maryam Ahmadi, Jianping Pan
It has been known that the distribution of the random distances between two uniformly distributed points within a convex polygon can be obtained based on its chord length distribut…
Random Distances Associated with Trapezoids
Maryam Ahmadi, Jianping Pan
The distributions of the random distances associated with hexagons, rhombuses and triangles have been derived and verified in the existing work. All of these geometric shapes are r…
Random Distances Associated With Equilateral Triangles
Yanyan Zhuang, Jianping Pan
In this report, the explicit probability density functions of the random Euclidean distances associated with equilateral triangles are given, when the two endpoints of a link are r…
Random Distances Associated with Rhombuses
Yanyan Zhuang, Jianping Pan
Parallelograms are one of the basic building blocks in two-dimensional tiling. They have important applications in a wide variety of science and engineering fields, such as wireles…
Random Distances Associated with Hexagons
Yanyan Zhuang, Jianping Pan
In this report, the explicit probability density functions of the random Euclidean distances associated with regular hexagons are given, when the two endpoints of a link are random…