Yes, I already looked at wikipedia. But I figured that since this is a math forum, this would be probably more helpfull to me than Wikipedia (because Wikipedia mostly doesn't show "tricks" and some parts of Wikipedia is just beyond my level).

But having all this, I think I can assume that there is no way I could simplify that formula. And I think I can say that there are no "operations" that works on the floor function if the numbers inside (the ) aren't restricted to a subset of real numbers (oh something I forgot, and which is not equal to the set of real numbers =))

Please correct me if I'm wrong with my statements (I might have overlooked something on Wikipedia, I'm sorry for that).