math
One of the most interesting uses of diffusion models I've seen thus far.
Main video: https://www.youtube.com/watch?v=Gojd8mTl3Do Extra video: https://www.youtube.com/watch?v=d5IMSxRgeZk
The second instalment of Vihart's recent scutoid series. I hope there are more to come.
One of the OG mathematics communicators on YouTube is back.
This site contains the *mathematical archives* of [Alexander Grothendieck](https://en.wikipedia.org/wiki/Alexander_Grothendieck) from 1949 to 1991. There you will find manuscripts, "typescripts", sometimes printed documents, in a classification essentially faithful (when it existed) to the author's classification . **Of the 28,000 (approximately) pages in this collection, only 18,000 (approximately) are currently accessible** I hope some of us will benefit from his knowledge.
phys.org
Related publication: - Global positioning: The uniqueness question and a new solution method - https://doi.org/10.1016/j.aam.2024.102741
fi-le.itch.io
Open source repo in link, and most recent patch was just a few months ago! Single player had several nice puzzles, took a nice 30 minutes. Includes 2 player mode and a level creator. Note it's 'hold leftclick and swipe' to cut an edge in the browser/pc.
accessibility2024.arxiv.org
You may have seen that cool new arXiv feature 'experimental HTML' - this is about stuff like that! Latex (and hence a lot of math research) is not well suited to screen readers, but HTML is. If you'd like to learn more about how your paper can be in the format, or just about how to make research more accessible, this could be useful!
> The art of scientific prediction has seeped into every aspect of our lives, influencing our habits and perspectives. Weather, transport, space conquest, architecture and even agriculture: our daily lives are inextricably linked to forecasts. In this first season, Cédric Villani takes us into the thrilling story of the invention of differential equations, calling on Isaac Newton, Christian Huygens, Leonhard Euler, Henri Poincaré... Podcast (4x15min) by [Cédric Villani](https://en.m.wikipedia.org/wiki/C%C3%A9dric_Villani) Very nice vulgarization !
The [Collège de France](https://en.m.wikipedia.org/wiki/Coll%C3%A8ge_de_France) promotes and teaches research currently being carried out in sciences, letters and the arts. Courses, seminars and conferences are open to **all and free**. Everyone is welcome as long as places are available. Just love this concept
MacTutor is a free online resource containing biographies of more than 3000 mathematicians and over 2000 pages of essays and supporting materials. MacTutor is constantly expanding and developing. *MacTutor was created and is maintained by Edmund Robertson and John O'Connor of the School of Mathematics and Statistics at the University of St Andrews, and is hosted by the University* *Their contributions to the history of mathematics have been recognised by Numerous Awards including the Hirst Prize of the London Mathematical Society in 2015.*
I've been dabbling in mental divisibility rules over the past few months, but hadn't previously come across these diagrams to track the remainder. Neat trick, and kind of artistic too.
Another entertaining Numberphile video. I just wish they dug into the more complex maths to account for the non-equal probability of each Pokémon.
I get about 1/1772 but I'm not confident
Hello everyone, I am a co-founder of Exer Institute and we’ve finally launched our educational video sharing platform https://exerinstitute.com. Share your interesting facts, insights, or expertise with someone at the other end of the world. Not an actual educator, tutor, or teacher? You don’t have to be. Everyone holds a nugget of knowledge that can make a difference to someone’s life. Why not teach it? Make someone’s day and potentially help someone’s future by giving the gift of knowledge. Just record a short video, no longer than 10 minutes, of your interesting facts, insights, or expertise, upload it to https://exerinstitute.com, and become part of a growing community of teachers. Not sure what and how to teach, or share? Just follow our easy guidelines and you’ll be making top quality informative videos in no time. Remember, sharing is caring! Happy learning everyone :)
Created in 2023 by *CNRS Mathématiques (Insmi)* , this map illustrates the areas of research in mathematics and **shows that mathematics answers concrete questions in our everyday lives.** 👍
mirtitles.org
[Mir Publishers](https://en.m.wikipedia.org/wiki/Mir_Publishers) (a Soviet Era publishing house) does not exist anymore. They published great textbooks/workbooks in Mathematic and other domains. Feel free to download, print, and share them 👍
This is a recurring pattern I see when making infinite grid. I figured there might be a name to this "fractal" if I may call it that way. Does it even have a name?
I’m picturing the math as a very large set of bell curves where most people fall somewhere in the middle, but each person is likely to be an outlier on at least one.
source: https://nitter.woodland.cafe/naderi_yeganeh/status/1722207367817986346
This is OC by myself, but from long time ago (2012). I've kept it up to date, and I still do, so if you spot any error, please comment; I will update it (here and on the blog). Link to my blog entry: https://networkscience.wordpress.com/2012/05/04/taxonomy-of-matrices/ Link on Wikimedia Commons: https://commons.wikimedia.org/wiki/File:Taxonomy_of_Complex_Matrices.svg
cross-posted from: https://discuss.tchncs.de/post/8991539 > It's an approximation but still... It's an interesting quick read.
I just saw somebody on mastodon share this fact, and I wanted to share it here too :)) It can be explained by the follow: 2025 = 2024 + 1 2025 = 45² 45 = 1 + 2 + ... + 9 (1 + ... + n)² = 1³ + ... + n³ and since 1³ is just one, we get the above equation for 2024 :)) This also means that next year will be even nicer, as it will include the 1³ :)) Do you have any other interesting facts about 2024 ? :)) The best name I've found for the last formula is just "Sum of consecutive cubes". I had never heard about that relation before, it really is bizare how math is connected sometimes :))