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  • I’m trying out Bazzite, and although it does take a little tweaking sometimes, I haven’t encountered a game I can’t run yet, including features like HDR and DLSS.

  • I had the opposite problem when I was learning linear algebra. The professor kept things at the most abstract and generic level, which made it hard to understand what was going on, because it felt like everything was “the thing is defined as the thing”. I don’t think it fully clicked for me until I took another class that involved some actual numerical applications of those ideas.

  • Usually it is something like the eigenvectors represent stable states of the system, and other states will tend to be unstable until and decay into one of those stable states.

    For example, the eigenvectors of the moment of inertia tensor represent “principle axes” of rotation, and these represent the possible stable axes of rotation (usually only one or two axes is actually stable, it depends on the object).

    By analyzing principle axes of inertia, you can explain why a frisbee’s rotation is very stable around one axis but unstable around all other axes. And you can predict this kind of behavior for other objects.

    Another example is in quantum mechanics, eigenvectors correspond to states that result after “measurement collapse” of the wavefunction, and are useful in various quantum mechanics problems, such as predicting the behavior of atoms, molecules, or semiconductors.

    The largest eigenvector would be the most probable direction and velocity of the struck object after impact?

    The size of the eigenvector doesn’t really matter, because if a vector is an eigenvector, scaling it (changing its length without changing the direction) will also result in an eigenvector. It’s the direction of the eigenvector that matters.

    However, the eigenvalue does matter and often has real world implications, for example, it can help you determine which of the principle axes of rotation will result in a stable rotation .

    An eigenvector doesn’t change direction when it is multiplied by the matrix, but it might change its length. The amount that length changes is the eigenvalue. vM=ev where M is a matrix, v is an eigenvector of M, and e is the corresponding eigen value.

  • When you multiply a matrix and a vector, you get a new vector. An eigenvector of a matrix means the output and input vectors are pointing in the same direction.

    These are important for various real-world applications, but more explanation would probably have to be context specific.

  • Probably necessary for driving in Boston

  • The alternative is having an exemption for religious texts.

    People would protest this by claiming 50 shades is their religious text or something

  • Note that Bazzite-DX (Bazzite plus some tweaks targeted towards programmers) and Bluefin (basically Bazzite minus some gaming specific tweaks) exist and are managed by the main Bazzite dev project.

  • It’s going to stop receiving security updates, making it risky to keep it connected to the internet.

    It’s probably fine, but if you use the internet on it regularly you could get hacked, and if you want to run newer software on it, that will become a problem.

    If you want to try a linux OS for it, I would strongly recommend Bazzite. I just started using it. It works quite well out of the box, and is specifically designed for running windows games on Linux as smoothly as possible.

  • It doesn’t look like it works very well. If I’m reading their results section correctly, it works less than 20% of the time on real world problems.

  • They did train a model specifically for decompiling.

  • I launched 2 million people into your mom last night

  • Coffee and some kind of pastry.

  • I have broken off one of the door handles on my car.

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  • Some of those services are pretty easy to set up, some might be more complicated. You’d have to look around for open source projects for those services and see if you can find ones you like. It will take more time to get it initially set up than to maintain, but expect to fix something that breaks every once in a while.

    As for cost, probably like a few hundred to a thousand USD can get a reasonable computer for this. You don’t need a GPU, but want a decent CPU, plenty of RAM, and a LOT of storage. Look for companies auctioning off old servers.

    Loosely I’d say expect this project to be a whole hobby.

  • Virtually at least once a week.

    In person, about once a month.

  • As the result of a single misconfigured security setting on my Android, I was locked out of my Google Account on my phone AND all of my PCs.

    Just a heads up on what you are getting yourself into, if you fuck up your self hosted setup badly enough there is no recovery.

    That isn’t necessarily intended to scare you off from self hosting, just that the first and most important lesson to learn is to have a good system of backups that are backed up automatically, are easy to recover from, and are separated enough from other copies of the data that if something goes terribly wrong one copy will survive.

  • Who cares about solving lost and unprovable theorems — how do these help anyone?

    I moved this one first because it’s the most important to answer. A lot of esoteric math does end up leading to useful results in science, engineering, or computer science. A lot of breakthroughs in physics, especially historically, came from breakthroughs in math. A lot of computer science, such as error correction and encryption, came from what was previously esoteric mathematics.

    Why does the 3-4-5 triangle work out cleanly, and yet π and e are irrational?

    There kinda isn’t a satisfying answer to this; it just turns out that’s how the world works. Some important questions have nice integer answers, and some don’t.

    How can 0.999… and 1 be exactly the same number?

    0.999… == 1 because there is no number in between 1 and 0.999… therefore they must be the same number.

    For any two numbers that aren’t equal, you can find numbers between them (specifically do something like a0.5 + b0.5). You can’t define 0.999… as something like “the largest number less than 1” because there is no such number, because if you found such a number, you could find another number between it and 1.

    However, there are some situations where the idea of “0.999…” might have some meaning, if you interpret it as “taking the limit of something as it approaches 1 from below”. See: https://en.wikipedia.org/wiki/One-sided_limit for some examples. These examples are mostly centered around 0, but if you moved it to be centered around 1, you would get a function where f(0.999…) ≠ f(1.000…1) with f(1) not having a well defined value.

    But because 0.999… is not the commonly accepted notation for that limit, some people reading your work would be confused. In the end it’s a matter of language: agreeing on a meaning for symbols so you can communicate your ideas clearly.

  • Sounds like you might be dyslexic.

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  • Earlier today I was playing the new Final Fantasy Tactics remake, and I encountered the line: “Then we’ll have two birds… and one stone!” (Referring to capturing two characters and retrieving a magic stone).

    That struck me as a particularly witty line in English to the point where I’m wondering if that saying is as common in Japanese. I wonder what the Japanese version of that line is.