Quanta article on a breakthrough on the negative Pell equation \(x^2-dy^2=-1\): proving a conjecture stating what proportion of possible candidates for \(d\in\mathbb{Z}\), would yield solutions \((x,y)\in\mathbb{Z}^2\)

https://www.quantamagazine.org/ancient-equations-offer-new-look-at-number-groups-20220810/

Quanta article about recent mathematical proof that the Kerr solutions to Einstein's equations describing a rotating #BlackHole are stable:

https://www.quantamagazine.org/black-holes-finally-proven-mathematically-stable-20220804/

@christianp Wikidata-notable at the very least: not as harsh as Wikipedia notability I think

I checked that we've got @johncarlosbaez and @11011110 linked in their WD items, though there's certainly room for more

Interesting TV episode I found covering a particular event in #Japan in the 1830s featuring a clash of wits between mathematicians in a village, resolved through a challenge posed as a Sangaku (geometric puzzle)

...if you don't mind the quirky premise of a time-travelling reporter "documenting" the scenes and interviewing the people without somehow causing paradoxes or being accused of witchcraft

"Computer Scientist Explains Fractals in 5 Levels of Difficulty"

(well explain in 4 levels, then discuss with an expert on their appreciation of #fractals, and possibly how to improve their accessibility to a broader audience)

I watched "The unreasonable effectiveness of complex numbers in discrete math" by 3blue1brown last night.

Which I found quite fun. It starts off with what seems like an intractable problem, and the proposed tooling to solve it seems very wtf. But as the it progresses, it makes sense and starts to appear almost intuitive. Using generating functions, complex roots of unity and their rotational symmetry. #Math

@tpfto dunno, just mostly amused by imagining hearing "eigentoot" said out loud in academic context

But I guess we could figure out which instances are subspaces? Or if we could add instances to get something containing or contained in another instance? Maybe it could devise a method for organic user discovery based on toots?

@saulsch you reminded me of back when I fiddled with Euclidea while also taking a university module on geometry at the time, as a way to get more accustomed to geometrical constructions

Wouldn't really know if it actually helped much since Euclidean geometry was only part of the course content🤷

- Me but 🎶
- @btcprox@mstdn.io

- Me but 🇸🇬
- @btcprox@kopiti.am

me bumbling about as an applied #maths graduate + enthusiast

Joined Apr 2018