math
- MacTutor - a nice ressource for Mathematic enthusiasts
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.
- What are the odds of choosing 7 or more face cards (jacks/queens/kings/aces) from 8 random playing cards?
I get about 1/1772 but I'm not confident
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- “The Universe of Mathematics”: a map to represent the extent of research in mathematics and show concrete uses of the discipline (In French)
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. 👍
- Topologists Tackle the Trouble With Poll Placementwww.quantamagazine.org Topologists Tackle the Trouble With Poll Placement | Quanta Magazine
Mathematicians are using topological abstractions to find places where it’s hard to vote.
- Mir Mathematic books - free to print
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 👍
- Great vulgarization videos (in french)www.arte.tv Voyages au pays des maths - Sciences | ARTE
Le pays des maths vaut le détour, même si ses abords semblent difficiles d'accès... On y parle une langue bizarre, pleine de polytopes, de variétés différentielles, de nombres transfinis. On y trouve aussi des paysages épiques, des idées vertigineuses et même des choses utiles ! Visite inédite dans...
Hi, just wanna share it here !
- ishan.page Calculating The Number Of Digits In A Power Of 2
Understanding Logarithms Better With This Cool Trick
- www.nature.com The decimal point is 150 years older than historians thought
Origin of the powerful calculation tool traced back to a mathematician from the Italian Renaissance.
- www.the74million.org Reading Supports Abound in Schools, But Effective Math Help Much Harder to Find
When it comes to math, there’s less of everything: nearly 50% of schools employ trained reading specialists, while only 23% have math specialists.
- What is the name of this fractal?
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?
- MIT and IBM Find Clever AI Ways Around Brute-Force Mathspectrum.ieee.org MIT and IBM Find AI Shortcuts Through Brute-Force Math
The technique could drastically cut AI training data requirements
- Is there statistical credibility to the idea that any one rare experience is unlikely to happen to any one person, but at least one rare experience is likely to happen to each person?
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.
- Three Parrots equation by Hamid Naderi Yeganeh
source: https://nitter.woodland.cafe/naderi_yeganeh/status/1722207367817986346
- Taxonomy of square n×n matrices
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
- How the Fibonacci sequence can convert between Miles and Kilometers
cross-posted from: https://discuss.tchncs.de/post/8991539
> It's an approximation but still... It's an interesting quick read.
- www.nist.gov NIST Tool Will Make Math-Heavy Research Papers Easier to View Online
A tool developed by a NIST scientist will help arXiv preprints become more accessible.
- 2024 = 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³
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 :))
- www.the74million.org American Math Scores Fall on International Test — But Many Other Countries Suffered More
The PISA test offers the latest evidence on COVID-related learning loss.
- The Astonishing Behavior of Recursive Sequenceswww.quantamagazine.org The Astonishing Behavior of Recursive Sequences | Quanta Magazine
Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians.
- What is the probability?
Out of 5 six-sided dice, what is the probability of landing 1 of one number and 4 of one other number?
- Is there a name for numbers whose only factors are primes and semiprimes but may not be primes in themselves?
And for how long can this pattern continue?
- Is there a name for numbers whose factors only consist of prime numbers but are not prime in themselves?
For example, 22 has factors of 2 and 11, both prime numbers, yet 22 itself is not prime.
- Full Berkeley Lectures on Group Theory
cross-posted from: https://slrpnk.net/post/3863820
> Institution: Berkeley > Lecturer: Richard E Borcherds > University Course Code: Math 250A > Subject: #math #grouptheory > Description: This is an experimental online course on mathematical group theory, corresponding to about the first third of the Berkeley course 250A (introductory graduate algebra). The level is for first year graduate students or advanced undergraduates. The topics covered are roughly the parts of group theory that a mathematician not specializing in groups might find useful.
More at !opencourselectures@slrpnk.net
- Where do these circles come from? (Voxel spheres) [Youtube]
A neat short explanation related to building spheres with cubes, like in Minecraft
Piped links: https://piped.kavin.rocks/watch?v=A2IAyXc0LuE https://piped.video/watch?v=A2IAyXc0LuE
- Animation vs Math
An interesting stickman-styled animation that uses some mathematics that get more and more complex.
- What is the probability of encountering, whether virtually or in real life, someone who has been on Wheel of Fortune?
I would assume that it's higher that you would imagine.
- www.upworthy.com 3,700-year-old Babylonian stone tablet gets translated, changes history
They were doing trigonometry 1500 years before the Greeks.
- Get help with classwork at Ask Math.lemmy.world ask_math - Lemmy.world
A community to ask math questions with the goal of learning math. When you ask a question, include a description of what you have already tried and where you feel you are stuck. When answering a question, avoid simply giving the answer. Let’s not do other people’s homework for them. Similar communit...
September is here, and school is in session. If you need help with specific questions, consider visiting https://lemmy.world/c/ask_math. Ask Math is a community for getting help with specific, focused questions. We won’t do your homework for you, but we will do our best to get you unstuck.
If you don’t need help but are a helpful sort, join us and help scholars grow.
Students and teachers, please review our sidebar for best practices on requesting and delivering meaningful help that provides students the chance to improve.
OpenMathBooks is a collection of free math books ranging from elementary level to precalculus level. The collection includes the following books
- First Principles of Math (FP) Math theory for secondary school and high school.
- Applied Mathematics 1 (AM1) Applications of the math introduced in FP.
- Theoretical Mathematics 1 (TM1) Math theory for high level high school courses.
- Theoretical Mathematics 2 (TM2) Continuation of math theroy for high level high school courses.
- Applied Mathematics 2 (AM2) Applications of the math introduced in TM1 and TM1.
- What are mathematical constants? Are they related? Can we find more? (video from Ramanujan Machine)
cross-posted from: https://sopuli.xyz/post/2972305
> Ramanujan Machine is a project using the computers of volunteers to answer some of these questions (using the BOINC platform). Anybody can participate, please see their website for more information. > Related paper: https://arxiv.org/abs/2308.11829
