Tuesday, January 29, 2013

Tuesday: A disaster of non-productivity

Basically, it boils down to this fact: the current rate of completion dC/dT is proportional to the time spent on it, with a factor that slows the completion rate as completion approaches 1.

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.


No comments:

Post a Comment