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…