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army1987 comments on The $125,000 Summer Singularity Challenge - Less Wrong
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That's pretty much the natural logarithm of x (plus a constant, plus a term O(1/n)).
Hm. Yes, to the level of approximation I'm using here, I could as easily have used a log function. And would have, if I'd thought of it; the log function is used enough that I'd expect its properties to be easier for whoever reads my post to imagine.