Last week, I went down a huge rabbit hole and tried to come up with a mathematical generalization of dealing with errors in circuits.

I am not a mathematician, but I tried to come up with a proof as rigorous as possible. However, other eyes are very much appreciated. I'd be happy about a boost and/or feedback.

And of course, I'd be glad if this was useful to anyone else :)

https://www.maxgenson.de/blog/demystifying-tolerances/

#electricalengineering #errorhandling #math #calculus #mathproblems #feedback #helpwanted

Demystifying Electrical Component Tolerances

Did you ever wonder how the tolerances of resistors influence a voltage divider? What happens if you put two components in parallel — does the effective tolerance increase or decrease? I had some very wrong assumptions about the answers to these two questions and am glad I looked deeper in to the topic. Some very suprising, yet satisfying and reassuring insights into error boundaries and propagation lie ahead. So buckle up and get ready for some math! (I enabled LaTeX \LaTeX LATE​X on my blog for this, hihi)

maxgenson.de

#math #mathematics #MathProblems #MIT

'Comprising more than 30,000 expert-authored problems and solutions spanning 47 countries, 17 languages, and 143 competitions, [MathNet] is five times larger than the next biggest dataset of its kind. '

https://www.csail.mit.edu/news/mit-researchers-build-worlds-largest-collection-olympiad-level-math-problems-and-open-it

MIT researchers build the world's largest collection of Olympiad-level math problems — and open it to everyone | MIT CSAIL

MIT CSAIL: MIT researchers build the world’s largest collection of Olympiad-level math problems — and open it to everyone. “MathNet is the largest high-quality dataset of proof-based math problems ever created, and it is not close. Comprising more than 30,000 expert-authored problems and solutions spanning 47 countries, 17 languages, and 143 competitions, it is five times larger than the next […]

https://rbfirehose.com/2026/04/23/mit-csail-mit-researchers-build-the-worlds-largest-collection-of-olympiad-level-math-problems-and-open-it-to-everyone/
MIT CSAIL: MIT researchers build the world’s largest collection of Olympiad-level math problems — and open it to everyone

MIT CSAIL: MIT researchers build the world’s largest collection of Olympiad-level math problems — and open it to everyone. “MathNet is the largest high-quality dataset of proof-based ma…

ResearchBuzz: Firehose
🚀 Ah, the genius of tackling Knuth’s "Claude Cycles" — nothing like disabling #JavaScript to reveal the true brilliance of AI-human #collaboration 🧠. Just remember, if you can’t browse the Help Center without a hitch, solving complex mathematical problems might be a tad ambitious. 📉
https://twitter.com/BoWang87/status/2037648937453232504 #AI #ClaudeCycles #MathProblems #HackerNews #HackerNews #ngated
Bo Wang (@BoWang87) on X

Three weeks ago I shared that Claude had shocked Prof. Donald Knuth by finding an odd-m construction for his open Hamiltonian decomposition problem in about an hour of guided exploration. Prof. Knuth titled the paper Claude’s Cycles. The story didn't end there. The updated

X (formerly Twitter)
🚀🎉 Wow, a glorified calculator solves a math problem! 🎓🤖 Meanwhile, the #AI #hype train continues to shovel coal into the furnace of self-importance, as if writing about "hypergraphs" is a frontier instead of just plain obtuse. 📈🔍
https://epoch.ai/frontiermath/open-problems/ramsey-hypergraphs #GlorifiedCalculator #MathProblems #Hypergraphs #TechNews #HackerNews #ngated
A Ramsey-style Problem on Hypergraphs

Construct hypergraphs as large as possible that do not have a certain easy-to-check, difficult-to-find property.

Epoch AI
Why doesn't #Mathematica simplify sinh(arccosh(x))? Because apparently, it takes a PhD in #Trigonometry, a magnifying glass, and a deep existential crisis to venture into that rabbit hole. 🤔🔍 Just when you thought it was all about cosines and sines, hyperbolics crash the party and demand their own dissertation. 📚🎉
https://www.johndcook.com/blog/2026/03/10/sinh-arccosh/ #Hyperbolic #Functions #MathProblems #ExistentialCrisis #HackerNews #ngated
Why Mathematica does not simplify Sinh[ArcCosh[x]]

When Mathematica seems to not to know how to simplify an expression, it may be doing the right thing, being more sophisticated than you expect.

John D. Cook | Applied Mathematics Consulting
The A858 puzzle - Negative PID

The A858DE45F56D9BC9 (often shortened to A858) puzzle is an unresolved Internet mystery that has been captivating cryptography experts for years. It’s a

Negative PID

Three-Question Test Claims to Measure Cognitive Ability

A short math test with 3 questions is going viral online. Many people cannot answer them correctly. Learn about the test and why it's tricky.

#IQTest, #MathProblems, #CognitiveTest, #BrainTeaser, #OnlineTest

https://newsletter.tf/short-math-test-3-questions-online/

A quick math test with just three questions is popular online. It's called the Cognitive Reflection Test. Most people find it hard to answer all the questions right. It tests how we think.

#IQTest, #MathProblems, #CognitiveTest, #BrainTeaser, #OnlineTest

https://newsletter.tf/short-math-test-3-questions-online/

Short Math Test Asks 3 Questions, Many People Get Them Wrong

A short math test with 3 questions is going viral online. Many people cannot answer them correctly. Learn about the test and why it's tricky.