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Additional super exponential condition
#1
I was just thinking about the following for an arbitrary super exponential :
We surely have for natural numbers m and n that

So why not demand this rule also for the super exponential extended to the reals?

For a super logarithm the rule would be:


Note that this rule is not applicable to the left-bracketed super exponentials.
Because from the rule it follows already that:
which is not valid for left bracketed super exponentials because they grow more slowly.

I didnt verify the rule yet for our known tetration extensions. Do you think it will be valid?

However I dont think that this condition suffice as a uniqueness criterion. But at least it would reduce the set of valid candidates.
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Messages In This Thread
Additional super exponential condition - by bo198214 - 10/13/2008, 07:15 PM

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