Quote:
Originally Posted by Christ
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.
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Partition up your points according to each integer and pick a number, for n, say 2. Find me a value of x where (2^(x)-2^(x-1)) is not greater than (2^(x-1)-2^(x-2)). For instance, if x is 4, then 2^4-2^3=8 is greater than 2^3-2^2=4, so that ain't one. Find one.
Quote:
Originally Posted by Christ
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.)
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That's true, but then the function is exponential decline, not exponential growth.