The conservation of fail

First, a bit of personal experience on fail. Fail is an omnipresent thing. You see it on failblog, you see it on the streets, you see it quite a lot in certain concerts (such as thumping noises from the backstage), and you see it all over the place during certain Math trainings. However, I have noticed that even though fail permeates every possible spot, the theories of fail seem to be scattered and few. As such, I will express my thoughts on fail.

1) A definition: Fail is the deviation of reality from expectations.
2) Another definition: Expectations are mostly average (ie. if people are above average* of the field, they are above expectations, and vice versa)
3) Hence, if we let the proficiencies of people in an arbitrary and absolutely random subject be a1, a2, a3, ... , an, then fail = (a1-a2)+(a1-a3)+(a1-a4)+ ... +(a1-an)+(a2-a1)+(a2-a3)+....(an-a(n-1))
That equals to 0.
Restating, the sum of fail is 0.
4) Since sum of fail is constant (at 0), there is conservation of fail.

Implications:
1) If you fail more, people will fail less.
1.1) Failing can be good for your relationships
1.2) Failing can improve the lives of others and increase overall happiness.

Note: Fail can be of different forms, eg imagined fail, perceived fail, real fail, massive fail, or just plain fail, but overall fail is conserved.

* Arithmetic mean, of course

P.S. The quality of this article fails. Are you happy now?

P.P.S. This article was written by a bored person in front of a screen in 20 minutes without any prior research whatsoever, and if any information is wrong or misleading, please contact the hotline for pizza deliveries and have a nice time with your family. Have fail!