@ammonios I am very pleased to learn that this bird exists.
@Merc also it still feels like you're a defense attorney in that game rather than a prosecutor, so it just felt like a meh version of the main series
@tomie BRING BACK FOPPISH MEN
@Merc Me when I accidentally enter ex mode
@Cyanocitta Lesser goldfinches have such complex songs!
@creamqueen Maybe... just MAYBE you could be a decent fucking human being?
@binkle @koantig
You can bound the sequence on the right hand side above by the sequence {n+1} (and below by {n}), so now you're just comparing a geometric sequence {x^n} to a basic arithmetic ("linear") sequence. We know it doesn't work for x<=1. If you want x^n <= n+1 for all n with x>1 (a necessary condition), then you'd need logx <= (1/n)log(n+1). The left hand side is fixed positive number (since x>1) and the right hand side has a limit of 0 (use L'hospitals rule).
For complex numbers exponentiation can be visualized with Euler's formula. The length of the vector follows the same pattern as in real numbers, and you multiply the angle by n to rotate it around the origin.
@georgia elaborate?
@prettygood
>I sad through meetings
Appropriate typo
@Loki Now give me a marble Kimika statue with golden scales
@prettygood I liked your pinned posts! (If that's what you're talking about)
@oshy I had a 3 year hiatus and it looked like this https://holeinmyhe.art/thegreathiatus