#mathematics

"There is a real joy in doing mathematics, in learning ways of thinking that explain and organize and simplify. One can feel this joy discovering new mathematics, rediscovering old mathematics, learning a way of thinking from a person or text, or finding a new way to explain or to view an old mathematical structure." – William Thurston (1946-2012)
#quote #mathematics #math #maths

Nice post about higher-order convexity.
https://linesthatconnect.github.io/blog/higher-order-monotonicity/

#Math #Maths #Mathematics

Theorem of the Day (May 2, 2025) : Lucas’ Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/Binomial/Lucas/TotDLucas.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#38

#mathematics #maths #math #theorem @Theoremoftheday

Here's the question for May 2nd from the AMS Daily Epsilon of Math Calendar. For those unfamiliar with the calendar, the answer is always the day of the month. Looking for imaginative solutions is the aim.

#mathstodon #math #maths #mathematics #MathsToday

One day, one decomposition
A246282: Numbers k for which A003961(k) > 2*k

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A246282.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A246282.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #graph #threejs #webGL

Very cool. #CatalanNumbers #Geode #Mathematics

https://phys.org/news/2025-05-mathematician-algebra-oldest-problem-intriguing.html

**A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode**

“_....the hyper-Catalan numbers 𝐶𝐦 count the number of subdivisions of a polygon into a given number of triangles, quadrilaterals, pentagons, etc. (its type 𝐦), and we show that their generating series solves a polynomial equation of a particular geometric form. This solution is straightforwardly extended to solve the general univariate polynomial equation._”

Wildberger, N. J. and Rubine, D. (2025) ‘A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode’, The American Mathematical Monthly, pp. 1–20. doi: https://doi.org/10.1080/00029890.2025.2460966.

#OpenAccess #OA #Article #DOI #Maths #Mathematics #Math #Algebra #Polynomials #Academia #Academics

Title: SageMath
️ What's: A libre tool for general & advanced mathematics, both pure & applied
️ https://www.sagemath.org/
️ https://github.com/sagemath/sage
️ https://mathstodon.xyz/@sagemath
#LinuxGaming #ShareYourGames #ELearning #Mathematics
️ #Libre #Arch #Deb
Our entry: https://lebottinlinux.vps.a-lec.org/LO.html

️ Update: 10.7.beta2
Signific. vers. ️
️ Changes: https://github.com/sagemath/sage/releases
️ From: 🛜️ https://github.com/sagemath/sage/releases.atom

https://www.youtube.com/embed/AEKOjac9obk
️ https://www.youtube.com/embed/yHuoSLDHg64
https://www.youtube.com/embed/?list=PLYaU7iNIaoaIqfJ99MwM8qAKlFigaUzOa
https://www.youtube.com/embed/?list=PLyqSpQzTE6M-4YsNKnIOJeR0PVUfy8qoQ

"Every great study is not only an end in itself, but also a means of creating and sustaining a lofty habit of mind ; and this purpose should be kept always in view throughout the teaching and learning of mathematics." – Bertrand Russell (1872-1970)
#quote #mathematics #math #maths

I have written a blog post about my recent visit to the STACK25 conference in Durham UK.

#STACK is a #Moodle #Maths related question type that uses the #maxima Computer Algebra System (CAS) as the back end. This means it can handle just about any imaginable #Math problem.

I was particularly taken with MecLib which allows the creation of good looking and interactive graphics without writing any JavaScript.

https://www.catalyst-eu.net/blog/2025/04/30/field-notes-from-stack-2025

#mathematics #edtech #education #teaching

Theorem of the Day (May 1st, 2025) : Lamé’s Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/Binomial/Lame/TotDLame.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#87

#mathematics #maths #math #theorem @Theoremoftheday

Source : Quanta Magazine / Jordana Cepelewicz

https://www.quantamagazine.org/mathematical-beauty-truth-and-proof-in-the-age-of-ai-20250430/
#mathematics #maths #math #proofs

Double Maths First Thing: Issue 22
Source : The Aperiodical / Colin Beveridge
https://aperiodical.com/2025/04/double-maths-first-thing-issue-22/

#mathematics #maths #math @aperiodical

Here's the question for May 1st from the AMS Daily Epsilon of Math Calendar. For those unfamiliar with the calendar, the answer is always the day of the month. Looking for imaginative solutions is the aim.

#mathstodon #math #maths #mathematics #MathsToday

One day, one decomposition
A246281: Numbers k for which A003961(k) < 2*k

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A246281.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A246281.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #graph #threejs #webGL

But what is quantum computing? (Grover's Algorithm) | 3Blue1Brown

https://www.youtube.com/watch?v=RQWpF2Gb-gU

#maths #Mathematics #Computing #QuantumMechanics

"It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the sciences." – Eric Temple Bell (1883-1960)
#quote #mathematics #math #maths

I'm enjoying this trend in social media in #Physics and #Mathematics of "Noether-posting." #Science #MathSky

RE: https://bsky.app/profile/did:plc:spntwdzth6sbgj3trq7flqyu/post/3lnvt6w5mxo42