In the new study, published Oct. 7 in the journal PNAS, researchers looked at satellite images of more than 400 arid areas around the globe and mathematically analyzed the spatial patterns of the ...

It began as a strange discovery buried in chaos theory — a mathematical pattern that seemed to predict real events before they happened. From climate shifts to stock market crashes, scientists now ...

Last year, onlookers observed a startling site on China’s Qiantang River: waves forming a grid-like pattern. Dubbed the “matrix tide,” this complex wave pattern was caused by the river’s famed tidal ...

Summary: A new study shows how math helps explain why babies nap erratically, teens stay up late, and older adults wake earlier. Researchers expanded the classic two-process sleep model by adding the ...

Abstract: Recent advancements in artificial intelligence emphasize improving the abstraction capabilities of Large Language Models (LLMs) by integrating structured knowledge and sophisticated neural ...

Pull requests help you collaborate on code with other people. As pull requests are created, they’ll appear here in a searchable and filterable list. To get started, you should create a pull request.

Trees depicted in the artwork of famous painters like Leonardo da Vinci and Piet Mondrian follow the math behind their branching pattern in nature, a new study says. This hidden math in some abstract ...

Mathematical patterns reveal profound truths about the universe and, surprisingly, about our inner lives as well. These five visual math concepts offer unique frameworks for understanding our behavior ...