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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. David Milliern‏ @kantianphysiker 10 Aug 2019
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      David Milliern Retweeted 〈 Berger | Dillon 〉

      Answer: the denominator can be expressed as the gamma function.https://twitter.com/InertialObservr/status/1124078729809072131 …

      David Milliern added,

      〈 Berger | Dillon 〉 @InertialObservr
      I was playing around, and stumbled upon something quite beautiful.. 👉If you sum over the volumes of all 2k-dimensional unit spheres, that sum converges to e^π. I have no idea why this should be true.. pic.twitter.com/QvsQJkAuc2
      Show this thread
      1 reply 2 retweets 11 likes
    2. 〈 Berger | Dillon 〉‏ @InertialObservr 11 Aug 2019
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      Replying to @kantianphysiker

      Any number can be expressed as a gamma function

      2 replies 0 retweets 17 likes
    3. David Milliern‏ @kantianphysiker 11 Aug 2019
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      Replying to @InertialObservr

      I don’t know what you are saying. That’s true, but expressing the denominator as a gamma function is how one can quickly see that your expression in the series reduces to your final term. I thought that’s what you were asking.

      1 reply 0 retweets 0 likes
    4. 〈 Berger | Dillon 〉‏ @InertialObservr 11 Aug 2019
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      Replying to @kantianphysiker

      No, it’s obvious exactly how the e^π arises mathematically but kit geometrically

      1 reply 0 retweets 0 likes
    5. David Milliern‏ @kantianphysiker 11 Aug 2019
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      Replying to @InertialObservr

      From your other remark, it’s clear that you are asking about intuition, but that’s not what you asked in your original Tweet. Since you didn’t express the series in terms of gamma function, I didn’t understand what your curiosity was.

      1 reply 0 retweets 0 likes
      〈 Berger | Dillon 〉‏ @InertialObservr 11 Aug 2019
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      Replying to @kantianphysiker

      I dont see what expressing as a gamma function adds to the situation

      9:50 AM - 11 Aug 2019
      1 reply 0 retweets 0 likes
        1. New conversation
        1. David Milliern‏ @kantianphysiker 11 Aug 2019
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          Replying to @InertialObservr

          You just said, “it’s obvious exactly how the e^π arises mathematically.” So it seems that you do.

          1 reply 0 retweets 0 likes
        2. 〈 Berger | Dillon 〉‏ @InertialObservr 11 Aug 2019
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          Replying to @kantianphysiker

          the gamma function is not needed to see the final equality..

          0 replies 0 retweets 0 likes
          3. End of conversation

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