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InertialObservr's profile
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
@InertialObservr

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〈 Berger | Dillon 〉

@InertialObservr

PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …

DC → CA
youtube.com/c/InertialObse…
Joined August 2015

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    1. 〈 Berger | Dillon 〉‏ @InertialObservr 8 May 2019
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      Was playing around with Fourier series, and found an alternative solution to Euler's Basel problem 👉 ∑ 1/n² = π²/6pic.twitter.com/tViTmJIXlL

      9 replies 43 retweets 246 likes
      Show this thread
    2. Charles Entertainment Cheese‏ @susboi42 8 May 2019
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      Replying to @InertialObservr

      What is/are the other solution(s)?

      2 replies 0 retweets 1 like
    3. 〈 Berger | Dillon 〉‏ @InertialObservr 8 May 2019
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      Replying to @susboi42

      I added the original proof to the thread

      1 reply 0 retweets 1 like
    4. Derek Orr‏ @Derektionary 8 May 2019
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      Replying to @InertialObservr

      Another popular proof is using the Fourier series for x² on an appropriate interval like [-1,1] or something

      2 replies 0 retweets 2 likes
    5. Derek Orr‏ @Derektionary 8 May 2019
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      Replying to @Derektionary @InertialObservr

      And a more obscure one is to compute Σ 1/(n²+α²) from n=1 to ∞ as a function of α (using residue theorem) and then take the limit as α -> 0.

      1 reply 0 retweets 1 like
    6. 〈 Berger | Dillon 〉‏ @InertialObservr 8 May 2019
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      Replying to @Derektionary

      I did the more general case with residues in a previous tweet ;)

      1 reply 0 retweets 1 like
    7. Derek Orr‏ @Derektionary 8 May 2019
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      Replying to @InertialObservr

      *searches frantically*

      1 reply 0 retweets 1 like
      〈 Berger | Dillon 〉‏ @InertialObservr 8 May 2019
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      Replying to @Derektionary

      hahah I would retweet it but I don't want to spam people's feed atm

      6:49 PM - 8 May 2019
      1 reply 0 retweets 0 likes
        1. Derek Orr‏ @Derektionary 8 May 2019
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          Replying to @InertialObservr

          Found it! If you split that sum, put the n=0 term to other side then take limit, boom. π²/6.

          0 replies 0 retweets 1 like
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