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Cake day: June 30th, 2023

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  • It’s theoretically impossible to create a system to remember every human that doesn’t rely on external storage.

    I’ll explain: let’s say that for every human that dies, they will be remembered and live on in the heart of another, living human. Each living human can remember n dead humans.

    we can set up an equation

    pn >= r

    where p is the current population of live humans, r is the amount of dead humans that must be remembered.

    We can express the rate of deaths as a proportion of the current living population:

    d/dt[r] = pb

    Where t is time and b is the instantaneous death rate per captia with respect to time (generally a constant).

    Combined with the previous, we get the separable differential equation:

    d/dt[r] = pb >= (r/n)b

    dr/dt >= rb/n

    [1/r] rt >= [b/n] dt

    Integrated:

    ln|r| >= tb/n+C

    r >= e^(tb/n+C)

    pn >= r >= e^(tb/n+C)

    p >= e^(tb/n+C)/n

    So in order for this system to work, the living population must always be growing exponentially, which is not feasible for modern humanity.











  • Snazztoxkcdxkcd #3174: Bridge Clearance
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    4 months ago

    Unless the lorry was driving over the exact geographic north or south pole.

    Side note: the tallest lorry where the top doesn’t move faster than the speed of light at the equator is 3.8 light hours tall, which is weird to think about because the top doesn’t start moving until well after the bottom has reached it’s destination.




  • SnazztomemesTrombone
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    5 months ago

    I make sure to wet my instrument before fingering it (reed instrument). The bowed string instruments need to be stroked though.