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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. 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
    2. 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
    3. 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
    4. 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
    5. 〈 Berger | Dillon 〉‏ @InertialObservr 17 Aug 2019
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      Replying to @AndrewM_Webb @johnnygreavu

      yea! i tweeted about this a while ago!

      1 reply 0 retweets 1 like
    6. Derek Orr‏ @Derektionary 17 Aug 2019
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      Replying to @InertialObservr @AndrewM_Webb @johnnygreavu

      Lambert-W function!

      1 reply 0 retweets 2 likes
    7. Derek Orr‏ @Derektionary 17 Aug 2019
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      Replying to @Derektionary @InertialObservr and

      Now when does z^z^z^... converge if z ∈ ℂ? ;)

      1 reply 0 retweets 4 likes
    8. Andrew M. Webb‏ @AndrewM_Webb 17 Aug 2019
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      Replying to @Derektionary @InertialObservr @johnnygreavu

      Continuing my horrible empirical approach to this problem: it looks... complicatedpic.twitter.com/omn0BHJ4Zl

      1 reply 1 retweet 6 likes
    9. 〈 Berger | Dillon 〉‏ @InertialObservr 17 Aug 2019
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      Replying to @AndrewM_Webb @Derektionary @johnnygreavu

      that's a neat fractal!

      1 reply 0 retweets 2 likes
    10. Andrew M. Webb‏ @AndrewM_Webb 17 Aug 2019
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      Replying to @InertialObservr @Derektionary @johnnygreavu

      It really is!pic.twitter.com/Nh4QYFJLA2

      3 replies 2 retweets 7 likes
      〈 Berger | Dillon 〉‏ @InertialObservr 17 Aug 2019
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      Replying to @AndrewM_Webb @Derektionary @johnnygreavu

      i'm going to use that in a future tweet! hope you don't mind

      3:50 PM - 17 Aug 2019
      • 1 Like
      • Derek Orr
      2 replies 0 retweets 1 like
        1. New conversation
        1. Andrew M. Webb‏ @AndrewM_Webb 17 Aug 2019
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          Replying to @InertialObservr @Derektionary @johnnygreavu

          Here's the (not particularly well optimized) code I used to generate that in case you want to change colour scheme or anything: https://gist.github.com/grey-area/dcd7d791269e24da67980a370c702a76 … Took ~6 mins on my machine for 2000x2000 pixels. Also worth noting in that rendering the real line has been skipped over

          1 reply 0 retweets 1 like
        2. 〈 Berger | Dillon 〉‏ @InertialObservr 17 Aug 2019
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          Replying to @AndrewM_Webb @Derektionary @johnnygreavu

          very cool.. what did you write it in?

          1 reply 0 retweets 0 likes
        3. 3 more replies
        1. Andrew M. Webb‏ @AndrewM_Webb 17 Aug 2019
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          Replying to @InertialObservr @Derektionary @johnnygreavu

          Don't mind at all!

          0 replies 0 retweets 2 likes
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