tedster - 8:54 am on Mar 17, 2010 (gmt 0)
Consider what happens if every page splits its FULL PageRank vote to the pages that it links to, and then those pages do the same and so on.
As you iterate the calculation over and over around the web graph, the PageRank for any given page would never approach a limit of any kind. That is, it would never settle down, it would just keep growing.
The damping factor keeps that from happening - in the original formula I believe they used 0.85 for d, which is the damping factor.
The real maths is likely to be more complex as well as larger scale
Yes, I'm sure that's true. There is a difference between the definition of PageRank and the methods for doing the calculation. Google has evolved their calculation method over time, and they are not about to share that exact procedure. It is "secret sauce."