#tetration — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #tetration, aggregated by home.social.
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#TIL: #Tetration - I never learned that in school, not even in high school.
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#TIL: #Tetration - I never learned that in school, not even in high school.
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#TIL: #Tetration - I never learned that in school, not even in high school.
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#TIL: #Tetration - I never learned that in school, not even in high school.
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#TIL: #Tetration - I never learned that in school, not even in high school.
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Whenever 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.
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Whenever 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.
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Whenever 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.
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Whenever 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.
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Whenever 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.
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I 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
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I 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
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I 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
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I 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
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I 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
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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 -
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 -
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 -
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 -
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 -
Basic #tetration introduction (an operation they never taught you in school)
https://www.youtube.com/watch?v=oyjDTAjpYig
#math #²hyperpower
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Basic #tetration introduction (an operation they never taught you in school)
https://www.youtube.com/watch?v=oyjDTAjpYig
#math #²hyperpower
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Basic #tetration introduction (an operation they never taught you in school)
https://www.youtube.com/watch?v=oyjDTAjpYig
#math #²hyperpower
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Basic #tetration introduction (an operation they never taught you in school)
https://www.youtube.com/watch?v=oyjDTAjpYig
#math #²hyperpower
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Basic #tetration introduction (an operation they never taught you in school)
https://www.youtube.com/watch?v=oyjDTAjpYig
#math #²hyperpower
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In 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
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In 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
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Can't believe I just found the #tetration button on my keyboard!
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Can't believe I just found the #tetration button on my keyboard!
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Can't believe I just found the #tetration button on my keyboard!
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Can't believe I just found the #tetration button on my keyboard!
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New CatSynth TV! #Tetration (aka iterated exponential, power towers) 😺📈 📺 https://youtu.be/OEWuyutJ8eo (includes demo programs in #Haskell and #Swift) #Mathematics
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New CatSynth TV! #Tetration (aka iterated exponential, power towers) 😺📈 📺 https://youtu.be/OEWuyutJ8eo (includes demo programs in #Haskell and #Swift) #Mathematics
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New CatSynth TV! #Tetration (aka iterated exponential, power towers) 😺📈 📺 https://youtu.be/OEWuyutJ8eo (includes demo programs in #Haskell and #Swift) #Mathematics
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New CatSynth TV! #Tetration (aka iterated exponential, power towers) 😺📈 📺 https://youtu.be/OEWuyutJ8eo (includes demo programs in #Haskell and #Swift) #Mathematics
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New CatSynth TV! #Tetration (aka iterated exponential, power towers) 😺📈 📺 https://youtu.be/OEWuyutJ8eo (includes demo programs in #Haskell and #Swift)
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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.
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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.
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Check out my blog post about solving a tetration problem using code!
https://karmanyaah.malhotra.cc/puzzles/2022/06/tetration/ -
Check out my blog post about solving a tetration problem using code!
https://karmanyaah.malhotra.cc/puzzles/2022/06/tetration/ -
Check out my blog post about solving a tetration problem using code!
https://karmanyaah.malhotra.cc/puzzles/2022/06/tetration/ -
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)
