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LAYERED#TIL: #Tetration - I never learned that in school, not even in high school.
Why you didn't learn tetration in school[Tetration]
Charlotte AtenWhenever I see the number 288 I always think «288 is special. Where have I seen it before?»
Then I remember that 288=1¹+2²+3³+4⁴. The general sequence of the sums of the first \(n\) «hypersquares» is https://oeis.org/A001923, and it seems that it's hard to say too much about it. Feels kind of surprising, given that we have https://en.wikipedia.org/wiki/Faulhaber%27s_formula for \(\sum_{k=1}^nk^p\), the sum of the first \(n\) of the \(p^\text{th}\) powers.
David RuffnerI keep on thinking about tetration; it is fascinating! Today I was wondering if you could make a number system that is based on tetration. I think it would be able to handle really large numbers. I played around with it briefly but didn't find something that made sense to me. So I looked it up. I didn't find a tetration number system, but I did find a cool website on tetration by Daniel Geisler, https://tetration.org/original/index.html
This train of thought naturally led me to start thinking about hyperoperations, https://en.wikipedia.org/wiki/Hyperoperation. For data visualization I like making log plots. Is there a similar kind of plot based on inverse tetration instead of inverse exponentiation? I think it might be useful for visualizing really large numbers, perhaps from something like combinatorics.
#hyperoperations
#tetration
#hyperoperations
#tetration
🐦🔥nemo™🐦⬛ 🇺🇦🍉Basic #tetration introduction (an operation they never taught you in school)
https://www.youtube.com/watch?v=oyjDTAjpYig
#math #²hyperpower
Basic tetration introduction (an operation they never taught you in school)
EclipseLionIn mathematics, tetration is an operation based on iterated, or repeated, exponentiation. By using operations such as tetration, pentation or hexation we can create enormous numbers. Graham’s number is one of the most famous big numbers, but there are many even bigger numbers.
#Arithmetic #hexation #HigherArithmetic #hyperoperation #HyperoperationTheory #hyperoperations #Math #Mathematics #nowWatching #pentation #tetration #YouTube
Numbers too big to imagine
Can't believe I just found the #tetration button on my keyboard!
catsynth / amanda cNew CatSynth TV! #Tetration (aka iterated exponential, power towers) 😺📈 📺 https://youtu.be/OEWuyutJ8eo (includes demo programs in #Haskell and #Swift) #Mathematics
Tetration, Iterated Exponentiation, Power Towers
karmanyaahmCheck out my blog post about solving a tetration problem using code!
https://karmanyaah.malhotra.cc/puzzles/2022/06/tetration/