dC/dT = T * (1 - C)
So if we solve this, we find:
dC (1 / (1 - C)) = T dT ; Separate variables.
-log(1 - C) = 0.5 T^2 ; Solve integrations.
1 - C = exp(-0.5 T^2) ; Oh, you're shitting me.
C = 1 - exp(-0.5 T^2) ; Yep, inverted Gaussian.
Therefore, you need to spend an infinite amount of time to achieve 100% completion. This suggests allowing a lowered Normal distribution to arbitrarily truncate the wings, or as people always claim, "Perfect is the enemy of good."
Well, at least I have math on my side.
Here's a French cartoon about a girl and her crocodile. It has no deeper meaning. That's it. Girl. Crocodile.
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