Quote:
Originally Posted by roflwaffle
Seems to me like it's just n^x over the rationals. You're only looking at a few points, but that doesn't change what it is.
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It is just n^X, but how does that describe or whether or not a curve could be considered exponential?
I still don't see that exponential should be defined as constantly growing at an increasing rate, which is what I feel you've suggested in previous posts.
If one really wanted to push it, one could say that something which is increasing exponentially is actually decreasing, if said exponent is in a negative range.
IOW - If something were increasing by an exponent of -10, it's decreasing. In physics, there is no "take-away", so everything which "decreases" actually advances in a negative direction. (As far as I'm aware, anyway. Feel free to prove me wrong.)