After three decades of research and the help of a supercomputer, mathematicians have discovered a new…
Category: Math
Möbius Mystery Solved By Mathematician After 5 Decades
Mathematician Richard Evan Schwartz has potentially solved the 46-year-old Halpern-Weaver Conjecture, which suggests the minimum size…
Behold Modular Forms, the ‘Fifth Fundamental Operation’ of Math | Quanta Magazine
The article explores the complex world of modular forms, mathematical functions with symmetrical properties that fill…
Mathematicians Solve 50-Year-Old Möbius Strip Puzzle
Mathematician Richard Evan Schwartz has solved a long-standing problem about Möbius strips, proving the Halpern-Weaver conjecture.…
An Old Conjecture Falls, Making Spheres a Lot More Complicated
Mathematicians have disproved the telescope conjecture, revealing that the universe of shapes in high dimensions is…
Complexity Theory’s 50-Year Journey to the Limits of Knowledge | Quanta Magazine
Researchers have discovered a connection between meta-complexity and average-case complexity, proving that an average-case MCSP algorithm…
Mathematics Has a Biological Origin, Study Reveals
Arithmetic’s universal truth may have biological roots, according to researchers. The team suggests that the fundamental…
Can LLMs Generate Mathematical Proofs that can be Rigorously Checked? Meet LeanDojo: An Open-Source AI Playground With Toolkits, Benchmarks, and Models for Large Language Models to Prove Formal Theorems in the Lean Proof Assistant
AI summary: Researchers from Caltech, NVIDIA, MIT, UC Santa Barbara, and UT Austin have developed LeanDojo,…
Is math real? The answer has major practical and philosophical implications
AI Summary: The article explores the philosophical debate on whether mathematics is a universal truth or…
Math Reveals How Many Shuffles Randomizes A Deck
GPT-4: Mathematical simulations reveal that seven riffle shuffles are required to randomize a 52-card deck, while…
Why the ‘Sleeping Beauty Problem’ Is Keeping Mathematicians Awake
GPT-4: The Sleeping Beauty problem, a thought experiment in probability, has divided experts in philosophy and…
ChatGPT Gets Its “Wolfram Superpowers”!
GPT-4: ChatGPT, a large language model by OpenAI, has been integrated with Wolfram|Alpha and Wolfram Language,…
Mathematicians discover shape that can tile a wall and never repeat
Aperiodic tiling, in which shapes can fit together to create infinite patterns that never repeat, has…
Finally, a Fast Algorithm for Shortest Paths on Negative Graphs | Quanta Magazine
Researchers can now find the shortest route through a network nearly as fast as theoretically possible,…
DeepMind breaks 50-year math record using AI; new record falls a week later
AlphaTensor discovers better algorithms for matrix math, inspiring another improvement from afar. Read more at Ars…
Chaos Researchers Can Now Predict Perilous Points of No Return
A custom-built machine learning algorithm excels at the formidable task of predicting when a complex system…
New Number Systems Point Geometry Problem Toward a Real Solution | Quanta Magazine
The Kakeya conjecture predicts how much room you need to point a line in every direction.…
Researcher uses 379-year-old algorithm to crack crypto keys found in the wild
It takes only a second to crack the handful of weak keys. Are there more out…
A Spanish data scientist’s strategy to win 99% of the time at Wordle
Esteban Moro has created an algorithm to solve the trending online game that has hundreds of…
The Riemann conjecture unveiled by physics
A mystery of mathematics that has remained unsolved for more than 150 years can be unraveled…