• tiriel@lemmy.world
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      1 day ago

      It’s really a term from statistics. It’s the same as an exponential growth rate, but you only take the value of the exponential function at discrete intervals.

      If you had a function you wanted to graph like 2x, exponential growth is like saying x can be any real number (even a fraction or something) and every part of the line you draw is counted, but geometric growth would be a discrete value for x like [1, 2, 3, …, n] where x is from that interval pattern. It’s useful in statistics for measuring data based on something like time. The examples I was taught were like cells splitting in two at a fixed time interval. You can still draw the graph like it’s a single curve to visualize it, but the actual data points are at discrete values for x and just not in between.

      I haven’t had a stats or math class in a long time, but I believe this is correct enough from a quick scan of Wikipedia.

      • monotremata@lemmy.ca
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        19 hours ago

        Yeah, that’s basically how I remember it, though it’s not always stats–the terms are used in other fields of math as well. A first calculus class typically includes a proof that the limit of the sum of an infinite geometric series (a + ar + ar^2 + ar^3 + …) tends towards a/(1-r) where a is the first term and r is the ratio of successive terms, provided that -1 < r < 1. (Otherwise the series diverges and the limit isn’t defined.)

        • tiriel@lemmy.world
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          14 hours ago

          Absolutely! I vaguely remember a discussion of geometric growth in at least one other course, but I was doing my best to give a thorough layperson’s explanation without getting into more analytic definitions for geometric series or the concept of continuity. I studied abstract/theoretical mathematics in my undergraduate degree, so I only really remember seeing geometric growth defined in statistics courses as far as applied mathematics goes as I avoided those courses where I could. I’m not in academia, and I did not pursue a further degree, so my apologies if I wasn’t entirely accurate. My mathematical theory is very rusty these days. lol

    • Zozano@aussie.zone
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      1 day ago

      Its the rate at which geometry geometerates geometrically.

      I would know, I’m a geometricologist.

        • CaptPretentious@lemmy.world
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          21 hours ago

          I know a Doctor Pythagoras might have a theory. But it might be irrational to go that route. But you said lumps, so sounds like your developing extra roots. To be absolute, try graphing it. Though it might just get better in a few days, give or take a few.

  • jaybone@lemmy.zip
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    2 days ago

    Then they realized humans could defeat the robots, so they sent Trump back in time to finish the job.

    • kautau@lemmy.world
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      2 days ago

      If your goal is purely to bring about the end of the human race, you can do that right now. Donate to Trump, join ICE, start a podcast about how climate change isn’t real, you have plenty of options

      • outhouseperilous@lemmy.dbzer0.com
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        2 days ago

        No, no, i want continuity for an intelligent being on earth, dont care if it’s human.

        This isn’t gonna stay human habitable for too long unless we beat capitalism right now, i don’t think we’re gonna get enough human allies to fo that, so looks like skynet’s the only option for ending capitalism. Not like i was gonna survive the decade anyway.

        • kautau@lemmy.world
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          2 days ago

          Yeah in a perfect world an AGI or SGI would aid us and then leave to either our benefit or our demise, leave it up to us.

          I really like this bit

          “You flatter us, Mellanie; we are not omnipotent.”

          “What’s that?”

          “Godlike.”

          “But you are powerful.”

          “Yes. And that is why we must use that power wisely and with restraint—a tenet we have adopted from human philosophy. If we rush to your assistance at every hint of trouble, your culture would become utterly dependent upon us, and we would become your masters. If that were ever to happen, you would rebel and lash out at us, for that is the strongest part of your nature. We do not want that situation to arise.”

          Hamilton, Peter F. (2006-02-28). Judas Unchained (The Commonwealth Saga) (p. 205). Random House Publishing Group. Kindle Edition.