Assessment of the microbial quality of some oral liquid herbal medicines marketed in Ile-Ife, South-western Nigeria

Abstract

We develop a set of heuristic arguments to explain several results on planar Poisson-Voronoi tessellations that were derived earlier at the cost of considerable mathematical effort. The results concern Voronoi cells having a large number n of sides. The arguments start from an entropy balance applied to the arrangement of n neighbors around a central cell. This is followed by a simplified evaluation of the phase space integral for the probability p(n) that an arbitrary cell be n-sided. The limitations of the arguments are indicated. As a new application we calculate the expected number of Gabriel (or full) neighbors of an n-sided cell in the large-n limit.