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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 23 Sep 2019
      • Report Tweet
      • Report NetzDG Violation

      Consider the function 𝑓(𝑥) = sin(tan(𝑥)) What happens if we continually iterate 𝑓 on itself? That is, 𝑓⁽⁰⁾(𝑥)=𝑓(𝑥) , 𝑓⁽¹⁾(𝑥)=𝑓(𝑓(𝑥)) .. This sequence actually converges to a constant! (but don't hold your breath .. it converges verrry slow)pic.twitter.com/xRpW1FBuXN

      16 replies 130 retweets 630 likes
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    2. Derek Orr‏ @Derektionary 23 Sep 2019
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      Replying to @InertialObservr

      Asymptotes look to be at multiples of π, nice

      1 reply 0 retweets 1 like
    3. 〈 Berger | Dillon 〉‏ @InertialObservr 23 Sep 2019
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      Replying to @Derektionary

      they look like it but i don't think they are actually

      1 reply 0 retweets 1 like
    4. 〈 Berger | Dillon 〉‏ @InertialObservr 23 Sep 2019
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      Replying to @InertialObservr @Derektionary

      for tan(sin(x)) i get 1.55709 and sin(tan(x)) i get 0.999906 .. not quite 1!

      2 replies 0 retweets 1 like
    5. Derek Orr‏ @Derektionary 23 Sep 2019
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      Replying to @InertialObservr

      Ooooo I think you just find when |f'(x*)| < 1 right?

      1 reply 0 retweets 1 like
      〈 Berger | Dillon 〉‏ @InertialObservr 23 Sep 2019
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      Replying to @Derektionary

      something like that .. i honestly don't know enough about contraction mappings

      8:17 PM - 23 Sep 2019
      1 reply 0 retweets 0 likes
        1. Derek Orr‏ @Derektionary 23 Sep 2019
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          Replying to @InertialObservr

          It's x_{n+1} = f(x_{n}) is limits are given by x = f(x) which are π/2 and 0. Hmm I'll need to look more

          0 replies 0 retweets 1 like
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