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After all these posts, it should be at least somewhat clearer.In this case, the math problem itself is determined by common sense. Solving a math problem that is not helpful or useful (in this case a formula that does not actually help rank the cars in GT5 in a way that allows them to be matched fairly), is a waste of time, no matter how well you solve it.
This has started with you attempting to shoot down my suggestion that PP is a system used to rank a car's "race-track potential" (call it what you will, everyone knows what I'm referring to) so that it can be matched with other, different, cars of equal "race-track potential" and allow closely matched racing with a broad spectrum of vehicles on the tracks within the game, and as such if the PP does not accurately reflect a car's "race-track potential", then its value is limited.
Please, just tell me what you think all of these algebraic equations (which btw are not half as complex as you are implying) are for, then.
You use the word potential, and that's exactly correct. Just remember that there are many things that can enhance or impede potential. A race track is only part of that potential, and you have to realize that this potential is constantly varying and shifting with each moment the car is on track.
Where common sense comes into play is if you have the ability to maximize that potential or not. No matter how good a PP system is, it will not replace your own good sense.