Chruser
2017-10-17, 01:44 PM
https://arxiv.org/abs/1710.01679
My paper extends earlier work by Pólya (https://en.wikipedia.org/wiki/George_P%C3%B3lya), and gives detailed results on how to construct Voronoi diagrams (https://en.wikipedia.org/wiki/Voronoi_diagram) using certain elementary functions and repeated differentiation.
One of the perhaps most counterintuitive results of my paper is that there's apparently a natural way to construct an infinite sequence of 1's (i.e. 1, 1, 1, 1, ...) that eventually converges to 4/5 (or any other rational number between 0 and 1). I'll illustrate how it works in a few days when I have time.
My paper extends earlier work by Pólya (https://en.wikipedia.org/wiki/George_P%C3%B3lya), and gives detailed results on how to construct Voronoi diagrams (https://en.wikipedia.org/wiki/Voronoi_diagram) using certain elementary functions and repeated differentiation.
One of the perhaps most counterintuitive results of my paper is that there's apparently a natural way to construct an infinite sequence of 1's (i.e. 1, 1, 1, 1, ...) that eventually converges to 4/5 (or any other rational number between 0 and 1). I'll illustrate how it works in a few days when I have time.