## The Most Unusual Ways Pi Shows Up In Mathematics | Can You Explain These?

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►Resources

List of Equations Involving Pi: https://en.wikipedia.org/wiki/List_of_formulae_involving_%CF%80

Stirling’s Formula: https://terrytao.wordpress.com/2010/01/02/254a-notes-0a-stirlings-formula/

Stirling’s Formula Modification (Gosper’s Approximation): https://math.stackexchange.com/questions/2205128/how-is-gospers-approximation-to-factorial-derived

Riemann Zeta Function: https://en.wikipedia.org/wiki/Riemann_zeta_function

Random Walk: https://en.wikipedia.org/wiki/Random_walk

Random Walk (Calculating Pi): https://www.wired.com/2017/03/hey-can-find-pi-random-walk-heres/

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peanut12345 says:

Buffons Needle is Cranky and from "playing with drugs". Why is 1% error is fine?

Do it.. the video on e.. do it.

Abdalla Babikir says:

I think for the coin flip example, it's impossible to be at 0 if you flip the coin an odd number of times

Duck Jr. says:

Hey, I'm kinda torn between majoring in computer engineering and computer science. Which do you think is a better choice?

neuroxik says:

9:06 "The answer is pi. Nah, I'm just kidding" made me laugh as fuck

therealnico says:

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! 🙂

Zivojin Limanic says:

Can you do rejuvenation biotechnology, specifically research on curing aging and the SENS research foundation?

Richard Deese says:

I LOVE IT! Pi and e are both wonderfully NATURAL numbers – they're EVERYWHERE in nature! Who wouldn't love that? tavi.

Corne van Zyl says:

After watching the whole video my brain is telling me

fuck this shit i'm out

35cut says:

2:02
JUST WRITE 1/2
this is exactly why i hate engineers

Smelly Cheesecake says:

How about in Stirlings approximation, try adding 1/Pi instead of 1/3. I haven't tried it but it might get a lot closer, or maybe even exact.

TheTedandfred says:

Take a drink every time he namedrops 3Blue1Brown, just goes to show how useful of a resource that channel is

Dank Memes says:

The integral from negative infinity to infinity of (cos (x^2)/x^2 + 1) dx =pi / e
MIND – BLOWN

Luis Alejandro Rubiano Guerrero says:

Very cool video. I am excited for the video about e