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I have in mind things like language learning (native or foreign), and growth to adulthood.

Is acclimatization the same thing as saturation? Can the logistic function be regarded as simply an upside-down version of Newton’s Law of Cooling?

Regards,

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    Do you mean that for $x>>0$, the logistic curve looks similar in shape to exponential decay? This is not a coincidence, as $1/(1+e^{-x})=1-e^{-x}/(1+e^{-x})\approx 1-e^{-x}$, but for many applications, you care about the short term behavior too, and so the long term similarity is immaterial.2011-06-02

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