In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics. Standing in the middle of a field, we can ...

While the world's leading artificial intelligence companies race to build ever-larger models, betting billions that scale alone will unlock artificial general intelligence, a researcher at one of the ...

Students at the new Catholic high school in Central Oregon aren’t using iPads or laptops in the classroom. Working from a classical curriculum designed by the Chesterton schools network, students ...

In December 2024, the Union Ministry of Home Affairs made an important announcement as part of its 2023-2024 annual report. It said the length of India’s coastline had increased from 7,516.6 km to ...

A year ago AlphaGeometry, an artificial-intelligence (AI) problem solver created by Google DeepMind, surprised the world by performing at the level of silver medallists in the International ...

An AI system developed by Google DeepMind, Google’s leading AI research lab, appears to have surpassed the average gold medalist in solving geometry problems in an international mathematics ...

IT is interesting to compare the attitudes of the two most recent writers in English who deal with Euclidean geometry. Sir Thomas Heath, in the second edition of his three-volume translation of the ...

How do astronomers describe the shape of the universe, and what could it mean for the fate of the cosmos? When you purchase through links on our site, we may earn an affiliate commission. Here’s how ...

This is a preview. Log in through your library . Journal Information PNAS is the world's most-cited multidisciplinary scientific serial. It publishes high-impact research reports, commentaries, ...

In the 1930s, a mathematician by the name of Nicolas Bourbaki was said to frequent the Café Capoulade in Paris, a haven for artists and intellectuals near Luxembourg Gardens. There he wrote an ...