A Princeton scientist with an interdisciplinary bent has taken two well-known problems in mathematics and reformulated them as a physics question, offering new tools to solve challenges relevant to a ...

Deep neural networks (DNNs), the machine learning algorithms underpinning the functioning of large language models (LLMs) and other artificial intelligence (AI) models, learn to make accurate ...

In quantum mechanics, the geometry of quantum states has emerged as a powerful framework for understanding phenomena ranging from electrical conductivity to superconductivity. One research direction ...

Google updated its search engine and Lens tool with new features to help you visualize and solve problems in more difficult subjects like geometry, physics, trigonometry and calculus. The update ...

Physicists are quietly testing an audacious idea: that the mass of everything around us might not come from an invisible field, but from the hidden geometry of space itself. Instead of treating extra ...

Unique shape: an iceberg near Elephant Island in the Southern Ocean. (Courtesy: Andrew Shiva/CC BY-SA 4.0) New experiments with ice blocks have revealed that icebergs melt faster on their sides. The ...

Grigori Perelman electrified the mathematical world 3 years ago with his claim to have solved one of the most famous problems in mathematics (SN: 6/14/03, p. 378: If It Looks Like a Sphere…). The ...

Sunlight, moonlight, torchlight, and flashlight... They all come from different places, but they’re the very same thing: light! It’s what makes it possible for us to see the world around us, so it’s ...

The momentous complexity of modern physics is often seen as a stumbling block whenever one is asked to explain to the wider public – or to new students – how beautiful all of it is, and how unique and ...