Re: Activity & new membergroup limits

time = number of two-week periods in which you've posted since your registration
activity = min(time * 14, posts)

I don't like it.

It embodies the assumption that any post above once per day (averaged over two weeks) is not contributing; which I do not agree with.

At the very least number of posts per day should be increased, e.g. min(time * 28, posts).

And you should consider more sophisticated metrics such as sum of f(x) over all two-week periods, f(x) being x / (1 + sqrt(x/14)) or x / (1 + x/28).

Time spent logged in will also be useful to include as a component.

Now let's take the indefinite integral of that function...

Challenge accepted!

Code:

3/2
2 Sqrt[14] x
28 Sqrt[14] Sqrt[x] - 14 x + --------------- -
3

392 Log[14 + Sqrt[14] Sqrt[x]]

Or

28(x-28log(x+28))

I had to use an integrator of the first, the second was easy to do by hand.

YOUFORGOTYOURCONSTANT!