Indeed there is nothing special about π. Perhaps a better phrasing would have been: it's amazing how a juggling of notation can cause you to double take.pic.twitter.com/A1pApKFjDU
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Writing e^π in two different ways yields a statement I would never believe, were it just handed to me.pic.twitter.com/pNhQxMwmGR
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For example, the √2th root of √2. Trivial to prove, yet still somewhat mystical looking.pic.twitter.com/jhgr3Jmg0W
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Note that the equation is correct, but the caption should say the "√2th root of 2", not what is written.
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Cute - but it's mainly just showmanship, since the formula works just as for well any real number x replacing pi. Pi has nothing to do with it. e can take all the credit. (You get this formula from (e^1)^x = e^x by writing out e^1 and e^x using the power series.)
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nothing wrong with a little showmanship ;)
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Yeah but the thing on the right is so obvious if you know it. All these sums are miraculous though. Or are they? When I can talk about my day job someday you’ll see that I’m obsessed with all this. Until then I’ll stay annoying.
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everything is obvious once you know it ;)
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Me too.. but I can’t see where I have misused any definitions.. everything converges and is well defined (I think)
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e^(-1/2*pi)=sqrt(e^(-pi))=i^i e^(-pi)=1/(e^(pi))
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