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Cake day: April 13th, 2024

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  • Density comes into it if we are measuring buoyancy. The weight of the displaced water is equal to the weight of the buoyant object, and the ratio of volume submerged vs above water should give a way to determine density, but I don’t have the precise method in my head right now.

    However assuming all you want is the volume, you simply need to fully submerge the object (by applying enough downward force if its density is too low), and the displaced volume is equal to the objects volume. The displaced water will have to flow to the top of the container, so by measuring the rise in water level and multiplying with the base area of your container you can get it easily.

    Just make sure you don’t accidentally also measure your hand if you’re pushing down the sphere.


  • A0 is a square meter. Its sides are self similar, such that the ratio of long to short edge stays the same when you cut one in the middle, and thus create a new long and short edge.

    Each cut produces two sheets of the next Ax number, so A4 is four times halved compared to A0, or a sixteenth of a square meter.

    That property of being able to halve is achieved with a ratio of the square root of 2, so unfortunately the measurements in absolute numbers get pretty odd.



  • I assumed the blonde girl was were when the teacher came home, but then the meal prep confused me for a moment.

    I thought that implied she was making meals for a were during the monthly change. But it seems she was making human meals for when she herself was changed and would be unable to cook.












  • That claim isn’t just a lie regarding the consumer preferences, but also the technological developments. It’s not impossible to predict at all; when talking about long term limits the picture is pretty clear.

    We already know that a fiber can carry 20 terabits per second, because it’s already doing it in backbone ISP connections today. If necessary and economical this can be done towards individual houses in 40 years. The only hard thing to predict is the speed of price decay. But as a sort of anchor value I can tell you a pair of transceivers for 100 Gigabit per second over 10 km can be bought for 500 USD right now.

    We also know that radio links are fundamentally limited by the Shannon limit, which relates the possible bit rate to the spectral bandwidth given a noisy channel (like our atmosphere). Maybe you’ll get a few dozen GHz of spectrum usable from space, in the mmWave region. And with that you probably reach dozens of gigabits per second. There is still a lot more to be had than today, sure, but with a definitive limit not too far off.

    To be clear the Shannon limit applies to the optical transport in fiber too, but there we are working with around 4500 GHz of usable spectrum just between 191.5 THz and 196.0 THz (the conventional band for DWDM), way way way more than radio will ever have by the nature of things. And people are expanding that range downwards to 184.5 THz already, and that’s in the market, not just in research.