The Most Unusual Ways Pi Shows Up In Mathematics | Can You Explain These?
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Published 2019-03-23
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►Resources
3Blue1Brown Collision Video: • The most unexpected answer to a count...
List of Equations Involving Pi: en.wikipedia.org/wiki/List_of_formulae_involving_%…
Buffon's Needle: • Surprising π from probability! Buffon...
Stirling's Formula: terrytao.wordpress.com/2010/01/02/254a-notes-0a-st…
Stirling's Formula Modification (Gosper's Approximation): math.stackexchange.com/questions/2205128/how-is-go…
Riemann Zeta Function: en.wikipedia.org/wiki/Riemann_zeta_function
Random Walk: en.wikipedia.org/wiki/Random_walk
Random Walk (Calculating Pi): www.wired.com/2017/03/hey-can-find-pi-random-walk-…
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All Comments (21)
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Made a follow up video to this one about e (euler's number)! Check it out here: https://youtu.be/AAir4vcxRPU
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9:38 Not so complicated to understand why pi shows up here. Coins are round.
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9:07 "The answer is π — no, I'm just kidding...." :D
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7:53 "There's plenty of complex looking formulas that I could totally prove geometrically, but unfortunately I just can't fit them on the margin of the screen, so I'll leave that as an exercise for the viewer" Lmao, a new age take on a classic old quote by Fermat!
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"The answer is pi" lmao that got me.
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8:00 "I'll leave that as an exercise for the viewer" I love you buddy
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9:07 I was like WTF?? you got me! :)
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A video on e would definitely be interesting!
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9:06 "The answer is pi. Nah, I'm just kidding" made me laugh as fuck
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3:31 The Sterling Approximation is just the first term in the aymptotic approximation of the gamma function (at integer values). It can be derived with Laplace's Method, which is absolutely one of my favorite pieces of mathematics.
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I truly hope you continue motivated to keep making these type of videos. They are so interesting and extremely well presented! Thank you dude!
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Your videos are at the same time thrilling and educative. You have shown the real use of the materials that we learn. As I have seen almost all of your videos I think that you should start a series of videos about math topics from algebra to calculus, topology and all other things and how they come up in our day to day life industries and so on. Yes you had done it in your mathematics of engineering and other few videos. So you could give this a thought. And once again thank you for making such awesome videos keep making them. Love you Majorprep
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7:57 "I understood that reference" ;)
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Pi is quite sneaky, get's where it has no business to be. Great video
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7:54 Making excuses, Fermat's way.
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Stirling's approximation comes by using Laplace's method, which is basically approximating an integral as an integral of gaussian function. That is why there is a pi.
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8:00 “So I’ll leave that as an exercise for the viewer” got me triggered
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The fact that this channel has few subscribers indicates that there are far too few curious science students. Keep it up, bro. You're excellent.
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Your videos are really great. Keep up the good work! Mark my words, this channel will be well over one million subs on New Year's Eve! :)
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This channel is awesome, keep up the good work!
