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If you don't already have an intuitive understanding of differential calculus, essentially the cooling inefficiency function initially decreases slowly, and then dramatically quickly (although it always remains positive) as it nears the minimum of the first derivative (the unique positive root of the second derivative, which is at around 5.5), and then decreases ever more slowly after that.
In Endless Sky, this means that outfits expansions are safe to use in small quantities, but rapidly drop in quality as you approach and pass an inefficiency of 5, and your ship's cooling becomes worthless after about 10.
Well, you know, it feels more natural...
Based on what the guy with beer said, that's a little oversimplified, but it's sort of correct.
1) Haven't taken calculus, and don't know derivatives.
2) I can see the point of it now, but I suspect that there's a simpler way to achive that effect.
3) I see it has something like focuses at the begining and middle, then falls off at the end, with something in between, well, in between. I have a graph with the cicles and elipse here.[www.desmos.com]
4) Nice pun.
Actually, I think the way to do it simper involves the circle and ellipse...
(If you're gonna look at the graph, I made it 10x higher for visibility).
I think they respawn, but I haven't actually checked (I may just be imagining things).
The nanobots don't have a sprite, thus, they are permanently cloaked, therefore, they cannot be selected, targeted, nor boarded.
They can be killed with a heavy rocket launcher, because of the proximity trigger.
They, and their weapons, cannot be aquired by legitimate means.
Killing them does not anger the drak, but they do respawn.
I think that's everything relevant...
A 10-nanobot fleet in Sayaiban has a value of 100, so I assume lots of them spawn each time you re-enter the system (after a short delay), although they won't respawn while you're still in the system.