A random persistence diagram generator

Tracking a Generator by Persistence

The persistent homology provides a mathematical tool to describe “features” in a principled manner. The persistence algorithm proposed by Edelsbrunner et al. [9] can compute not only the persistent homology for a filtered simplicial complex, but also representative generating cycles for persistent homology groups. However, if there are dynamic changes either in the filtration or in the underlyi...

A Perfect Random Number Generator

A Directed Random Paragraph Generator

"Cracking" a Random Number Generator

[Editor’s Note: This paper was original printed in the January 1977, Volume I, Number 1, issue of Cryptologia (pp. 20-26) the premier issue. Over the years this one article has drawn more interest than any other article and requests for reprints of the paper come in year after year. The editors thought it appropriate to offer this paper to our readers. The original paper was set using WordStar ...

Voronoi Diagram: The Generator Recognition Problem

For the analysis of systems consisting of small, regular objects, the methods of mathematical morphology applied to images of these systems are well-suited. One of these methods is the use of Voronoi polygons. It was found that the Voronoi tessellation method represents a powerful tool for the analysis of thin film morphology and provides nanostructural information to many multi-particle assemb...