Kogasa

Yeah, basic graduate level math is a lot more useful than whatever you do with your life to warrant such an attitude.

Specifically, the thing that exists is a regular homotopy of immersions from the standard embedding to its opposite. The “rules” aren’t supposed to be self evident, they’re part of a broader context in topology

The eigenvalues of a diagonal matrix are the values on the diagonal. Diagonalizable matrices’ eigenvalues can be determined by diagonalizing them and looking at the entries on the diagonal.

It’s interesting because it’s highly counter-intuitive that such a thing is possible. It’s not supposed to be useful except as an example of a false intuition, which can remind us to be careful in our reasoning.

Microsoft blocks people from downloading stuff all the time for unknowable reasons. You have to either reset your IP or go through customer support to fix it. I did the latter and they did not tell me why I was blocked in the first place.

No. sqrt(2) is an irrational number characterized as the positive solution to x^2 - 2 = 0. It’s described by a very small amount of data. Even its decimal expansion can be determined up to any precision by a simple algorithm.

Somehow I doubt hips and wheelchairs are among the top offenders

But something has to be written on the birth certificate and social security card, and that’s what everything else will expect you to use. I think just due to technical limitations (e.g. of the printer/template for those things) it wouldn’t be allowed, but I dunno about legally

Keycaps are expensive but you can easily spend $500 on a keyboard chassis/plate/pcb alone

Yes, OP only gets you to Q[i]

No, I stand by it. People who cry about straight representation are goblins at best. That’s who’s being mocked, not straight people.

Instant death hopefully

Disrespecting fragile cretins who need to pandered to at all times

Fractal makes a few good cases, OP’s being one of them. The Define series is more about low volume + high capacity than airflow. All of their cases should have GPU clearance specs so you can tell if you have enough space before buying

If a line-following robot bumps into a 3 year old, it might knock them over. It’s a different situation with high speed 2 ton death machines

Paru was at one point a rewrite of yay in Rust, and has since continued development as a pseudo parallel fork. It’s good. Dunno if it’s worth switching, you’d have to see if there’s any specific features you might happen to want, but they’re both fine

Yeah. Normal whoppers are crunchy. 1 in 4 whoppers is soggy and chewy and hard to eat

Whoppers are good but the risk of getting a bad one is not worth it. Ech

It depends on what you mean by well defined. At a fundamental level, we need to agree on basic definitions in order to communicate. Principia Mathematica aimed to set a formal logical foundation for all of mathematics, so it needed to be as rigid and unambiguous as possible. The proof that 1+1=2 is just slightly more verbose when using their language.

It’s not a 360 page proof, it just appears that many pages into the book. That’s the whole proof.