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#mathematics

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I have posted the 238th Carnival of Mathematics!

fractalkitty.com/238th-carniva

If I missed something please let me know.

There is an extremely slow bit of javascript for untouchable numbers that hopefully won't make the post untouchable.

Thank you @aperiodical for organizing this.

This month we have posts from @mjd Peter Cameron, @two_star, @j2kun, Brian Clegg, @fortnow @KarenCampe, Amédée d'Aboville, Ed Vogel, @standupmaths

There was also an amazing amount of math and art being shared on blueSky with @Ayliean 's math art March prompts

last night I went on a wiki walk starting with Donald Knuth's impressive body of work and the title of his novelette "Surreal Numbers" piqued my interest

this led me down a delightfully confusing but fascinating peek into the weird side of math ft. The Monster, Baby Monster, magic squares and phrases that cracked me up like "weakly inaccessible cardinal"

def gave me a new perspective on cardinality which I mostly deal with in the practical sense with system telemetry 😅

These two art pieces are based on the deformation of a hexagonal tiling into a topologically equivalent "tiling" composed of parts of concentric circles, all parts having the same area (third image). Selecting one hexagon as the center, we transform it into a circle of radius 1. Next concentric circle will hold the 6 adjacent tiles as sectors of rings. And so on, the circle of level n will have radius sqrt(1+3·n·(n+1)) (difference of radius when n tends to infinity approaches sqrt(3)). This map can be coloured with three colours, like the hexagonal tiling. For the artwork, suppose each sector of ring is in fact a sector of a circle hidden by inner pieces. Then choose a colour and delete all pieces not of this colour. Two distinct set of sectors can be produced, one choosing the central colour, one choosing another colour. Finally recolour the pieces according to its size.
#MathArt #Art #Mathematics #geometry #tiling

Replied in thread

As I appear to be doing a Glasgow mini-thread, have I mentioned before how much I love the Mathematics and Statistics building at the University of Glasgow?

Because I love the Mathematics and Statistics building at the University of Glasgow.

🔴 📖 **The Secret Formula: How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation**

Daniel J. Curtin

“_Fabio Toscano, a science writer, lucidly presents not only the solutions of the cubic equation but also the history of the problem and the development of algebra in general from Diophantus, through the Islamic scholars, to Renaissance Italy._”

🔗 old.maa.org/press/maa-reviews/.

#Read #Nonfiction #Book #BookReview #Bookstodon #History #Maths #Mathematics @bookstodon

old.maa.orgThe Secret Formula: How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation | Mathematical Association of America
Replied in thread

@clacke

Re. Not anthropomorphizing LLMs

I'm a sucker for this. Thankyou for writing about it. I'll apologise to an inanimate object if I walk into it.

I find useful practical tips for myself in following this to be:
1. Use the verb "I prompted" rather than I told or I asked.
2. State that the program "output" rather than it replied.
3. I don't discuss "confabulation" because it's an anthropomorphization (the reality is that the computer program is doing exactly what it is instructed to do by the user), but if I was compelled to anthropomorphize, I would use "confabulation" rather than hallucination.

I would be curious to know if you or any other readers had any more tips!

The following cartoon is from:
smbc-comics.com/comic/precise

#LLM#AI#GAN

🔴 **Generative AI and accuracy in the history of mathematics**

“_This process is illustrated by querying ChatGPT with questions from a history of mathematics quiz designed to highlight the common occurrence of mathematical results being misattributed. ChatGPT's performance on a set of decades-old common misconceptions is mixed, illustrating the potential for these systems to reproduce and reinforce historical inaccuracies and misconceptions._”

Rowlett, P. (2024) ‘Generative AI and accuracy in the history of mathematics’, British Journal for the History of Mathematics, 39(1), pp. 64–69. doi: doi.org/10.1080/26375451.2024..

#OpenAccess #OA #Research #Article #History #Maths #Mathematics #Math #AI #ArtificialIntelligence #ChatGPT #Academia #Academic @ai

🎉 We congratulate Masaki Kashiwara, who has been awarded the 2025 Abel Prize for his pioneering contributions to algebraic analysis and representation theory!

📖 At EMS Press, we have published numerous works by Professor Kashiwara, including a special issue dedicated to his 70th birthday in the Publications of the Research Institute for Mathematical Sciences: ems.press/journals/prims/issue

ems.pressVolume 57, No. 3/4 (2021) Special issue dedicated to Masaki Kashiwara on the occasion of his 70th birthday| Publications of the Research Institute for Mathematical Sciences | EMS PressArticles of issues Volume 57, No. 3/4 (2021) Special issue dedicated to Masaki Kashiwara on the occasion of his 70th birthday from Publications of the Research Institute for Mathematical Sciences.

🚨 📢 #Job alert! 💼
Are you interested in #oceanography with a background in #physics, #mathematics,& data #visualization? 🌊 📊 We're opening a 3-year position for a doctoral #PhD candidate to work on the #ocean component of our #ICON #climate model. You'll be working w/ our "Complex #Modeling & Extreme #Computing" group under supervision of Nils Brüggemann & be a member of our #IMPRS doctoral program. 🎓 Check out the full ad & apply until April 20: jobs.mpimet.mpg.de/jobposting/
#hiring #sciencejobs

jobs.mpimet.mpg.dePhD | Doctoral Candidate (W-0037)

"My methods are really methods of working and thinking; this is why they have crept in everywhere anonymously."

Happy Birthday Emmy Noether!!

She made many important contributions to abstract algebra. She proved Noether's 1st and 2nd theorems, which are fundamental in mathematical physics. She developed theories of rings, fields, & algebras. In physics, Noether's theorem explains the connection between symmetry & conservation laws.

en.wikipedia.org/wiki/Emmy_Noe

🔴 **Born On This Day**

Mathematician, astronomer, and physicist Pierre-Simon Laplace was born in Beaumont-en-Auge, Normandy, France on this day in 1749.

“_He proved the stability of the solar system. In analysis Laplace introduced the potential function and Laplace coefficients. He also put the theory of mathematical probability on a sound footing.”

🔗 mathshistory.st-andrews.ac.uk/.

#BornOnThisDay #BOTD #History #Maths #Mathematics #Math #Science #HistSci #Astronomy #Physics @science

Maths HistoryPierre-Simon Laplace - BiographyPierre-Simon Laplace proved the stability of the solar system. In analysis Laplace introduced the potential function and Laplace coefficients. He also put the theory of mathematical probability on a sound footing.