Christian Alexander retweetledi
Lecture notes: "A brief introduction to Poisson geometry" (by Henrique Bursztyn): arxiv.org/abs/2603.17289
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Christian Alexander
33 posts
Christian Alexander
@CFindlater
Mathematics, Physics, Engineering, Scientific Computing
Katılım Mart 2021
246 Takip Edilen230 Takipçiler
I am genuinely in love with the Americans discovering Scottish people and culture - like hands-down one of the funniest things to happen.
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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.
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@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.
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@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.
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@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.
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Christian Alexander retweetledi
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.
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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: #F2qrJM6a2juvQjziJTH8Pbwef5Lsa8TzRbCFW5FMg4uW" target="_blank" rel="nofollow noopener">privatebin.net/?f8c17bc224cd9…
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I was also revising for an exam tomorrow so I guess I just go fuck myself then?
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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.
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Christian Alexander retweetledi
“Look how depressed and isolated gen z are after we annihilated social cohesion and crushed our high trust society!”
Boris Johnson@BorisJohnson
The wettest generation since the Flood! Today's youth are too scared to drive, drink and many don't have sex. And they're so sensitive some would rather a man got shot than say something they find offensive mol.im/a/15115179
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@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.
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@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.
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@CFindlater @obsdmd I had to stop using Obsidian after I just found it slightly addictive… just collecting and categorising knowledge I would never look at again.
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