There just may be someone out there in the Raider Nation who has heard of a transformation that preserves the topologically properties of a set. Reggie McKenzie and Dennis Allen have made so many changes in the roster, one wonders if the resulting collection of players will look like the talented pool of players that many in the Raider Nation believed in.
In some settings there are discussions of fixed points.
Those points look like this: f(x) = x.
In other words, in the context of the changes in the Oakland Raiders' roster, how many of the guys have a stable position with the team? How many are untouched by the cuts and changes?
Next, will the resulting and transformed collection of players be equivalent to or better than the 2010 and 2011 teams?
Let's hope the new GM Reggie McKenzie and head coach Dennis Allen have preserved those players and positions that functioned optimally. Next, let's hope that replacements that were made primarily because of the cap situation have been substituted by players with equivalent skill sets or better. In other words, for example, whoever replaces Jason Campbell should have a skill set equivalent to or better than Campbell's.
A recent addition of Mike Brisiel is reportedly a good replacement for some or one of the offensive players that was released. Cooper Carlisle comes to mind.
If this is the case, then to some extent the Raider Nation can expect improvements in the offense because of Brisiel's presence. It also helps to place Brisiel in an environment with familiar coaches. This alone can optimize the learning and adjustment process with the Oakland Raiders.
There are times that a GM or coach wants to transform the team so much that it does not resemble earlier versions. Let's just say that if something is not broken, then don't fix it.
In any case, stability and optimal performance are expected in the 2012 season. Also, the adjustment period for all of these new players, coaches and the new GM to function optimally will hopefully be short and potent.
From a topological standpoint, the Raider Nation may not want the Oakland Raiders to be deformed from a coffee cup to a doughnut. The landscape, form and collective skill set of the team may have to be changed in order to optimize the functionality and to get the Oakland Raiders to the playoffs and to a Super Bowl.
Think about it! It's food for thought! Enjoy your coffee—and your doughnut!