10/10/2016, 04:57 AM
I've been sort of obsessed with Tetratipn since I first heard about it, and I've scoured the internet trying to learn all that I could about it. I came across this oeis Talk: Iterated Logarithms recently and the idea of a weighted function to deal with non-Natural numbers struck me as interesting. I've played with his idea and came up with this:
 - r))})
and = \lceil slog_b(^ya) \rceil = \lceil y \rceil)
 = log_b*(^ya) - r)
Where
and 
This leads to a continuous function that looks like a very steep exponential graph.
It also leads to several identities:
 = yslog_b(a))
 = a - a + 1 = 1; )

 - r))}})
Please tell me your thoughts on this, thanks.
~Dasedes
and
Where
This leads to a continuous function that looks like a very steep exponential graph.
It also leads to several identities:
Please tell me your thoughts on this, thanks.
~Dasedes