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+--- Thread: Mick's rejected gem (/showthread.php?tid=1090)
Mick's rejected gem - tommy1729 - 08/20/2016
On MSE my friend mick his equation has been closed.
He is angry about it.
I see the value of it.
And a potential link to tetration.
So for the sake of math, tetration , friendship and justice i post it here.
Quote
Find all the solutions \(f(x)\) valid for \(x>0\) and
\[exp(\int f(x) - f(x-1) dx) = f(x) -1\]
Thank you.
End quote
Here the integral starts at 0 and ends at x.
Just like integral f(x) dx means int_0^x f(T) d T .
You could argue about integration constant and abuse notation but its a very solid idea !!
Hopefully this has more succes here.
It reminds me of the Julia equation.
Regards
Tommy1729