• Aceticon@lemmy.world
    link
    fedilink
    arrow-up
    0
    ·
    7 months ago

    Neatly showing why when all you have is two data points you can’t just assume the best fit function for extrapolation is a linear one.

    Mind you, a surprisingly large number of political comments is anchored in exactly that logic.

      • Aceticon@lemmy.world
        link
        fedilink
        arrow-up
        0
        ·
        edit-2
        7 months ago

        Good point and well spotted!

        PS: Though it’s not actually called exponential (as it isn’t enr-3-month-periods but rather 2nr-3-month-periods ) but has a different name which I can’t recall anymore.

        PPS: Found it - it’s a “geometric progression”.

        • wischi@programming.dev
          link
          fedilink
          arrow-up
          0
          ·
          edit-2
          7 months ago

          By tweaking a few parameters you can turn every base into any other base for exponentials. Just use e^(ln(b)*x)

          PS: The formula here would be e^(ln(2)/3*X) and x is the number of months. So the behavior it’s exponential in nature.

          • Aceticon@lemmy.world
            link
            fedilink
            arrow-up
            0
            ·
            edit-2
            7 months ago

            By that definition you can turn any linear function a * x + b, “exponential” by making it e^ln(a*x +b) even though it’s actually linear (you can do it to anything, including sin() or even ln() itself, which would make per that definition the inverse of exponential “exponential”).

            Essentially you’re just doing f(f-1(g(x))) and then saying “f(m) is em so if I make m = ln(g(x)) then g(x) is exponential”

            Also the correct formula in your example would be e^(ln(2)*X/3) since the original formula if X denotes months is 2X/3

        • some_guy@lemmy.sdf.org
          link
          fedilink
          arrow-up
          0
          ·
          7 months ago

          PPS: Found it - it’s a “geometric progression”.

          A terminology that I learned from the Terminator 2 movie. Only that was, I think, a “geometric rate”.

  • Annoyed_🦀 @monyet.cc
    link
    fedilink
    arrow-up
    0
    ·
    7 months ago

    His son’s face looks like that’s not the first time dad tell that joke.

    “i’ve heard that before, dad.”

  • neonred@lemmy.world
    link
    fedilink
    arrow-up
    0
    ·
    edit-2
    7 months ago
    1. How is size (“big”) even associated with mass (“weight”) in this relation?

    2. What is a “pounds”?

    • Futurama@lemmy.world
      link
      fedilink
      English
      arrow-up
      0
      ·
      7 months ago

      They’re making the (possibly false) assumption that density will stay the same, so size must grow with weight.

      Of course, it’s equally likely that size will remain constant. It changes or it doesn’t -> 50/50 odds. Until the point it all collapses into a black hole.

  • Buddahriffic@lemmy.world
    link
    fedilink
    arrow-up
    0
    ·
    7 months ago

    There’s another problem that his math missed. His baby-making rate stands at one per three months. Extrapolating that for all humans puts the population’s doubling rate at EVERY THREE MONTHS! In 10 years, there will be a lot of ~3 trillion kg kids!

    If every 10 billion people can make a new earth every year, I think we should be able to get on top of this.

    • Ephera@lemmy.ml
      link
      fedilink
      arrow-up
      0
      ·
      7 months ago

      Could be German. It’s not pronounced precisely like “Kyle”, but close enough, and “Keil” is the German word for “wedge”.

  • chetradley@lemmy.world
    link
    fedilink
    arrow-up
    0
    ·
    7 months ago

    If you’ve ever seen a growth chart, you know that newborns grow incredibly quickly, but the rate of growth tapers off over time. That being said, my daughter will be six feet tall by the time she’s 2:

  • Artyom@lemm.ee
    link
    fedilink
    arrow-up
    0
    ·
    edit-2
    7 months ago

    Bless the Maker and His water. Bless the coming and going of Him. May His passage cleanse the world. May He keep the world for His people.