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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 17 Aug 2019
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      √2 raised to itself infinitely many times is 2pic.twitter.com/0l9dhhs3GV

      60 replies 378 retweets 2,238 likes
    2. johnny groove‏ @johnnygreavu 17 Aug 2019
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      Replying to @InertialObservr

      And other than 1, the only number this works for, right?

      2 replies 0 retweets 1 like
    3. Andrew M. Webb‏ @AndrewM_Webb 17 Aug 2019
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      Replying to @johnnygreavu @InertialObservr

      Seems that way. Here's lim of x^x^x^... and x^2 in range 0.5 to 1.5, and it looks like the lim of x^x^... converges to a finite value if 0 <= x < e^(1/e), and diverges if x > e^(1/e)pic.twitter.com/6UcEMJtBZW

      1 reply 0 retweets 1 like
    4. johnny groove‏ @johnnygreavu 17 Aug 2019
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      Replying to @AndrewM_Webb @InertialObservr

      What about x between the bounds ~0.066 and ~1.44? How do we know sqrt(1) and sqrt(2) are the only solutions?

      1 reply 0 retweets 0 likes
    5. Andrew M. Webb‏ @AndrewM_Webb 17 Aug 2019
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      Replying to @johnnygreavu @InertialObservr

      It looks like the 'infinite power tower' only converges if x is in [e^(-e), e^(1/e)] :https://math.stackexchange.com/questions/1089458/how-can-i-prove-the-convergence-of-a-power-tower …

      2 replies 0 retweets 2 likes
    6. johnny groove‏ @johnnygreavu 17 Aug 2019
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      Replying to @AndrewM_Webb @InertialObservr

      Right so shouldn’t we check other x’s other than the natural numbers?

      1 reply 0 retweets 0 likes
      〈 Berger | Dillon 〉‏ @InertialObservr 17 Aug 2019
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      Replying to @johnnygreavu @AndrewM_Webb

      no you shouldn't check any numbers outside of the interval

      1:40 PM - 17 Aug 2019
      2 replies 0 retweets 0 likes
        1. johnny groove‏ @johnnygreavu 17 Aug 2019
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          Replying to @InertialObservr @AndrewM_Webb

          Inside I’m saying!

          0 replies 0 retweets 1 like
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        1. johnny groove‏ @johnnygreavu 17 Aug 2019
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          Replying to @InertialObservr @AndrewM_Webb

          hence my *between the bounds* a few tweets ago

          0 replies 0 retweets 0 likes
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