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Why bases 0<a<1 don't get love on the forum?
#3
(04/13/2015, 03:27 PM)sheldonison Wrote: Well there is at least one post; http://math.eretrandre.org/tetrationforu...0&pid=6748 tetration base

That's were excel gets itchy, because it can't take logarithms of negative numbers. The polynomial gets too close to zero.
I get this

[Image: FAIApif.png?1]

for bases between it remains bounded between 0 and 1 (for x>0), and converges to c, were c is the solution of , which seems to have 2 roots, c₁ and c₂, with





I suspect that this relation is the key to solve tetration equations:



Here is tetration base a=0.01:
c₁ = 0,941488369
c₂ = 0,013092521
[Image: 8JBZF9Q.png?1]

The negative axis probably converges to a real function akin to a cosine.

I need something better than excel.
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Messages In This Thread
RE: Why bases 0<a<1 don't get love on the forum? - by marraco - 04/13/2015, 08:01 PM

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