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Many of you may recall "An obvious pattern to $i↑↑n$ that is eluding us all?", an old question of mine, and just recently, I saw this new question that poses a simple extension to tetration at non-integer values:
$$a↑↑b=\begin{cases}a^b,&b\in[0,1]\\a^{a↑↑(b-1)},&b\in(1,+\infty)\\\log_a(a↑↑(b+1)),&...
if $0\le b<1$, then $a↑↑b = a^b$
if $b\ge1$, then $a↑↑b = a^{a↑↑(b-1)}$
if $b<0$, then $a↑↑b = \log_a(a↑↑(b+1))$
so for example,
$2↑↑\pi = 2^{2^{2^{2^{0.1415926...}}}} = 21.5963561$
How can I extend this to complex numbers?
https://www.desmos.com/calculator/p8qcvngczb3
Once again, The Nineteenth byte has uncovered an strange and unusual obscure chat bug
Normally, if you attempt to pin a message that has already been pinned by another user, you get the following:
However, the mobile site allows room owners to pin messages that are already pinned. For exa...
Brachylog, 1 byte
ḟ
Try it online!
Explanation
ḟ is a built-in that asserts the following relation: its output is the factorial of its input. We simply give it a set output and see whether it suceeds or not with a variable input.
