New CatSynth TV! #Tetration (aka iterated exponential, power towers) 😺📈 📺 https://youtu.be/OEWuyutJ8eo (includes demo programs in #Haskell and #Swift) #Mathematics

#math #idea #log #latex

I always hated $\log$ for being clunky. Why don't we use the #tetration (and probably other things) #notation for $\log$ instead?

So \[ ^{2} 32=5 \] and the #prime #number #theorem says the odds of \[ n \in \mathbb P \sim {^{e} n^{-1}} \] .

Way less clunky, nice and #symmetrical to exponentiation.

Check out my blog post about solving a tetration problem using code!
https://karmanyaah.malhotra.cc/puzzles/2022/06/tetration/

#tetration #math #puzzle #python #code #blog

https://www.youtube.com/watch?v=elQVZLLiod4
This was fun. Really appreciated the use of cobweb graphs -- I remember seeing them on my TI-84 calculator and never quite understanding what they're for.

#math #tetration #threeblueonebrown

(aside: I managed to find that "switchover" point by poking around and then doing a binary search (followed by a Google search because the decimal number didn't ring any bells) which, although it lacked the real mathematical insight, was also fun in itself)