The Work
We are conducting research into algorithm variables, sensitivity, and topology applications. It is ironic where science takes us. The two aforementioned unrelated dissertations were both conducting studies based upon Directed Graphs. It came to our mutual attention - an epiphany - that Search Engine algorithms were an excellent environment to further the development and test our hypotheses.
The practical applications of the Project First studies concern spatial and temporal relationships with guidance systems. Yes, that it is a long way from Search Engine results, but a very interesting test platform, because several Search Engine algorithms exhibit characteristics found in advanced Ring Theory.
So out of the Ivory Tower into the "real" world of preferences we ventured. Several of the Search Engines we are using as test models display wonderful variables which may be modeled with tools such as: random walks, hyperbolic spaces and mapping. Besides the variables presented by the Search Engines to measure their results, this "real" world Lab presents another wonderful variable in that other "actors" are competing for "preference."
We could not have imagined or created a better nullspace of a Cartesian product had we envisioned it.