Exponential Mean and Beyond
#1
Question 
If you have two numbers a and b, you want to take the mean of them, you could do ssqrt(a^b), or ssqrt(b^a). Then you could do the square super root of those exponentiated together. But which order? You do both orders, and do the super square root of those exponentiated together. And you keep doing it until they converge, and call that the exponential mean or exp mean for short.
You could even do tetration means and pentation means and beyound.
Does anyone know of any closed forms for any of these means, When the means are not already communitive, Such as Exp-Mean(2,4), because 2^4=4^2?
Please remember to stay hydrated.
ฅ(ミ⚈ ﻌ ⚈ミ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\


Messages In This Thread
Exponential Mean and Beyond - by Catullus - 06/04/2022, 08:57 AM
RE: Exponential Mean and Beyond - by JmsNxn - 06/05/2022, 11:36 PM
RE: Exponential Mean and Beyond - by Catullus - 06/06/2022, 02:54 AM
RE: Exponential Mean and Beyond - by JmsNxn - 06/06/2022, 03:37 AM
RE: Exponential Mean and Beyond - by Catullus - 06/13/2022, 01:18 AM
RE: Exponential Mean and Beyond - by tommy1729 - 06/13/2022, 11:17 PM
RE: Exponential Mean and Beyond - by Catullus - 06/19/2022, 01:08 AM

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