Reputation
2,373
Top tag
Next privilege 2,500 Rep.
Create tag synonyms
Badges
6 19
Newest
 Yearling
Impact
~17k people reached

Feb
7
revised An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
added taylor series
Feb
7
revised An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
added taylor series
Feb
6
comment An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
Thanks Gottfried. You might want to look at how sexp(z-0.1*I) looks too. As $\Re(z)$ goes to $-\infty$, it goes to the repelling fixed point, yet as $\Re(z)$ goes to $+\infty$ is is still going to the attracting fixed point. This is the big difference between the Schroeder function solution, and the Kneser solution.
Feb
6
revised An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
extension of Kneser's solution
Feb
6
comment An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
@DanielGeisler I am not aware of any treatment of the Abel equation on a sickle (using both fixed points) in Carleson & Gamelin. While Kneser's method only works for real bases>$e^{1/e}$, this method uniquely extends it to complex bases, including complex bases where one of the fixed points is indifferent or attracting.
Feb
6
revised An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
added 88 characters in body
Feb
6
revised An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
added 27 characters in body
Feb
6
revised An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
added 238 characters in body
Feb
6
answered An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
Jan
24
comment Infinite tetration of $i$
you are missing the "i"; $W(-\frac{\pi i}{2})$ should work, but it is difficult to work with the lambert W function in the complex plane. I get $-W(-\frac{\pi i}{2})/\frac{\pi i}{2}\approx 0.4383+0.3606i$
Oct
4
awarded  Yearling
Jul
14
accepted order of infinite countable ordinal numbers
Jul
14
comment order of infinite countable ordinal numbers
Thanks for the proof; much to learn.
Jul
14
revised order of infinite countable ordinal numbers
added 3 characters in body
Jul
13
revised order of infinite countable ordinal numbers
edited title
Jul
13
comment order of infinite countable ordinal numbers
@AsafKaragila I tried rewriting to make my question clearer.
Jul
13
revised order of infinite countable ordinal numbers
added 69 characters in body
Jul
13
revised order of infinite countable ordinal numbers
added 60 characters in body; edited title
Jul
13
comment order of infinite countable ordinal numbers
@AsafKaragila They are definitely NOT all equal. My question was clearly talking about ordinal arithmetic and the relative sizes or ordinal numbers
Jul
13
comment order of infinite countable ordinal numbers
@AsafKaragila I wanted to know the order of the sizes