Lmst

https://www.ams.org/journals/notices/202508/noti3220/noti3220.html?adat=September

And here’s the actual article.

#mathematics #physics #geometry #cosmology

https://phys.org/news/2025-08-universe-revealed-algebraic-geometry.html

Not gonna lie. I’m only understanding this on an intuitive level. Seems so cool. Positive geometry! Hurrah. Something else to investigate.

#cosmology #physics #mathematics #math #geometry

Theorem of the Day (August 15, 2025) : The Matrix Tree Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/CombinatorialTheory/MTT/TotDMTT.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#12

#mathematics #maths #math #theorem @Theoremoftheday

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem.

The Matrix Tree Theorem : Let G be a graph with n vertices and define the Laplacian of G, L(G), to be the n × n matrix whose entry in row i and column j is:
−(the number of edges joining vertex i to vertex j) if i ≠ j, and
the number of edges incident with vertex i if i = j.
Then the number of spanning trees of G is given by det L(G)(1|1), where L(G)(1|1) is the matrix obtained by deleting the 1st row and 1st column of L(G).

Here's the question for August 15th from the AMS Daily Epsilon of Math Calendar
@DailyEpsilon

#math #maths #mathematics #mathstodon

Mathematics and the Imagination (Dover Books on Mathematics) by Edward Kasner (PDF)
Author: Edward Kasner
File Type: PDF
Download at https://sci-books.com/mathematics-and-the-imagination-dover-books-on-mathematics-b00cdgsfvk/
#Mathematics, #EdwardKasner

One day, one decomposition
A002174: Values taken by reduced totient function psi(n)

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A002174.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A002174.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A002174.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #reduced #totient #function #psi #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A002174 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A002174 in 2D (log(weight), log(level))

https://phys.org/news/2025-08-universe-revealed-algebraic-geometry.html

#science #mathematics #physics

Mastering Modern Time Series Forecasting + Advanced Conformal Prediction + Probabilistic Forecasting with Conformal Prediction in Python https://leanpub.com/b/forecasting_conformalprediction_probabilistic_forecasting by Valery Manokhin is the featured bundle of ebooks 📚 on the Leanpub homepage! https://leanpub.com #ComputerScience #MachineLearning #Mathematics #Python #DataScience #DeepLearning #Education #books #ebooks

🚨BREAKING NEWS🚨: Mathematicians discover the real numbers are, in fact, not imaginary. 📉 Joel David Hamkins writes a thrilling 4,000-word #novella to confirm what your third-grade teacher already told you. 🤓📚 Who knew that counting could be so philosophical?
https://www.infinitelymore.xyz/p/what-are-the-real-numbers-really #BreakingNews #Mathematics #RealNumbers #Philosophy #HackerNews #ngated

What are the real numbers, really? (2024)

https://www.infinitelymore.xyz/p/what-are-the-real-numbers-really

#HackerNews #What #are #the #real #numbers #really #2024 #mathematics #philosophy #HackerNews #infinitemore

35 years ago, Jim Sanborn presented the cryptographic sculpture Kryptos to the Central Intelligence Agency in Langley, Virginia. Made from copper, granite, quartz and petrified wood, it has four sections, each of which holds a message in code. Over the years, three of the sections have been solved — by CIA code breakers, a California computer scientist, and the National Security Agency. Now, 79-year-old Sanborn says he's going to auction off the solution to the final message, with the company arranging the sale estimating a winning bid between $300,000 and $500,000. Here's @newyorktimes's story on why he's doing it now, and what he hopes the winning bidder will do with the secret.

https://flip.it/_TN3II

#Science #Technology #Mathematics #Codebreaking #Kryptos #JimSanborn #Art #Sculpture #Cryptology #Cryptography #Cryptanalysis

"A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories ; and one can imagine that the ultimate mathematician is one who can see analogies between analogies." – Stefan Banach (1892-1945)
#quote #mathematics #maths #math #mathematician #analogy

Photographic portrait of Stefan Banach, and a quote : "A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories ; and one can imagine that the ultimate mathematician is one who can see analogies between analogies."

I think I am finally understanding suprema and infima, upper and lower bounds etc., thanks to Olmsted’s book. Now to figure out why they are such a big deal!

(Update: Could this be related to epsilon delta proofs!? Wait… I’ll need to think about this. )

#mathematics #math

The plane enemy will now follow the player and hurt it when they collide, but like a plane, it cannot take sharp turns, so there's some linear interpolation going on. Isn't it cool that a historian can say mathematical things? #GameDev #Mathematics

Theorem of the Day (August 14, 2025) : The Small Prime Gaps Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/NumberTheory/SmallGaps/TotDSmallGaps.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#151

#mathematics #maths #math #theorem @Theoremoftheday

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem.

The Small Prime Gaps Theorem : For a prime number p denote by pnext the least prime greater than p. Then
lim inf _(p→∞) (pnext − p) / (log p) = 0.

When is it possible to draw a shape without lifting a pen and retracing any edge?

Mathematically proving a school time puzzle using results from graph theory.

https://youtu.be/KJeVMwu6vD0

#engineering #graphtheory #puzzle #mathematics #euler #proof

Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com
A little more work on axis sizing and controls.

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research