So, do you only ever display one single result? Or do you display multiple results? Because if you display multiple results, they will be in a textual order, whether that's top to bottom or left to right, and that is a ranking.
People pay tens or even hundreds of thousands of dollars to move their result from #2 to #1 in the list of Google results.
> #2 to #1 in the list of Google results.
My user interface is very different from Google's, so different there's no real issue of #1 or #2.
Actually that #1 or #2, etc. is apparently such a big issue for Google, SEO, etc. that it suggests a weakness in Google, one that my work avoids.
You will see when you play a few minutes with my site after I announce the alpha test.
Google often works well; when Google works well, my site is not better. But the post I responded to mentions some ways Google doesn't work well, and for those and some others my site stands to work much better. I'm not really in direct competition with Google.
I've been successful via my search math. For your claim, as far as I know, you are correct, but actually that does not make my search engine and its math impossible.
> That will produce a set of techniques that are observed to increase the ranking.
Ranking? I can't resist, to borrow from one of the most famous scenes in all of movies: "Ranking? What ranking? We don't need no stink'n ranking".
Nowhere in my search engine is anything like a ranking.