Even working from home in the late afternoon wasn't as productive as it should have been. Part of the problem is that the office is fine until about 1-2PM. Then the sun starts shining on my office, and the temperature just starts shooting up. I think that if I don't get out of the heat before it gets too bad, my productivity stays depressed.
My original parameterization was P = P0 / (T - T0), with T0 being about 70 degrees. It was pointed out that this creates a singularity in the productivity curve. So, let's go with a even polynomial instead, P = P0 * (T - T0)^2. We now need to account for the time evolution, and that's almost certainly a decaying exponential. So, let's say P = P0 * (T - T0)^2 * (1 + H(T - T_thresh) * exp(-k t )), where we use the Heaviside function to trigger this time evolution. I'm not totally happy about this solution, as it really should be determined in a differential equation form. Basically, the evolution is not cleanly in temperature or time only, and so I should have written the differential equations that explicitly do this. I'm not going to do that now.
Math sleeps create punch sleeps. |
"Hold still, I think I see a way out!" |
- I really hope this dumbass doesn't get elected.
- Clark is kind of a jerk here. It's the new continuity, though, so I think everyone is a jerk now.
- That's really obvious obstruction of justice.
- Dumbassery.
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