Christian Alexander

Mathematics, Physics, Engineering, Scientific Computing

[Christian Alexander @CFindlater]

@cmiller__ @notch @XorDev No problem and my pleasure - hope it is of use to you!

[Christian Alexander @CFindlater]

Since @notch asked, I have provided a computed example. May be of interest to @XorDev and @cmiller__ also.

[notch @notch]

Am I correct in assuming that the main reason there's no three dimensional equivalent is that while you certainly can define such a structure, it doesn't form a group, so you don't get a bunch of useful structure that is analogous to other groups?

I don't know group theory well enough to know exactly what those would be, but I'm certainly willing to study it if this assumption is correct.

[Christian Alexander @CFindlater]

@notch @XorDev @cmiller__ On determinants: the Lie algebra (infinitesimal action of the group) is anti-commutative by definition via the [X, Y]= - [Y, X] relation, which is precisely the structure one is already working with. For example, the group SL(2, \mathbb{R}) is all 2 \times 2 matrices w/ det = 1.

[Christian Alexander @CFindlater]

@notch @XorDev @cmiller__ Another way: groups are essentially a vector space \mathbb{R} without axiom of commutativity - this give rise to the anti-commutative algebras which are forms of the geometric algebra one sees in representations of algebras within graphics programming contexts.

[Christian Alexander @CFindlater]

@XorDev @cmiller__ @notch Quaternions have strong connections to Lie theory and have seen some interesting work on computational geometry and symmetry groups in this context - this may be of interest to you.

[Christian Alexander @CFindlater]

@notch Yes!

[Chris Grocott @DrChrisGrocott]

Academic Twitter is having a meltdown because some people have just learned that you should actually read the sources you cite. This really shouldn't be as controversial as it appears to be.

[Christian Alexander @CFindlater]

Yup my University is indeed on this list.

Literal nightmare.

[vx-underground @vxunderground]

Here is the list of every school district, college, and university impacted by the ShinyHunter's Canvas compromise. It is nearly indeed over 9,000 schools because it includes entire school districts.

Here is a list of every place currently impacted:
https://t.co/E9wCXYGczw

[Christian Alexander @CFindlater]

I was also revising for an exam tomorrow so I guess I just go fuck myself then?

[Christian Alexander @CFindlater]

I can confirm at my university Canvas is down, or, 'undergoing maintenance'.

[vx-underground @vxunderground]

ShinyHunters compromised Canvas (to a currently unknown extent) which resulted in a "this system has been compromised" to over 9,000 universities.

As ridiculous as that sounds, I'm not memeing. It has been speculated it is actually over 9,000 universities.

ShinyHunters is having their ALPHV moment. They're now going to get attention at a serious scale outside of the information security circle.

[sudoSanti @SantiTobio_]

The word "manifold" should be banned for at least 2-3 years in the AI and especially neuroscience communities, with the option to publicly execute those who use it and don't know what a homeomorphism is.
I would start to call it the "m-word""

[Christian Alexander @CFindlater]

@XorDev I genuinely love your work Xor

[Christian Alexander @CFindlater]

@aswren Thank you for standing up for GenZ Adam! 🫡

[Christian Alexander @CFindlater]

@XorDev Incredible!

[Christian Alexander @CFindlater]

@RussellWolfey @IAmTimNguyen Yeah I think I began reading this about the same time you did - shocking to see the outcomes of how science, popularity, and social media collide.

[Christian Alexander @CFindlater]

SEO has destroyed the Internet.

[Christian Alexander @CFindlater]

@sebs_tweets @obsdmd Yeah have found that it can incentivise this. I really like that it works with Markdown. Can make notes pretty much anywhere and import them as it needed.

[Christian Alexander @CFindlater]

This is what using @obsdmd feels like.

[Mac Baconai @Macbaconai]

Gm, have a great day!

[Christian Alexander @CFindlater]

I really only care about 3 things: mathematical physics, mechanical & systems engineering, and scientific computing. Everything else is noise to me.

[Christian Alexander @CFindlater]

@elonmusk Based!