In quantum mechanics, the geometry of quantum states has emerged as a powerful framework for understanding phenomena ranging ...

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

Anyone who speaks more than one language knows the feeling of expressing the same thought through entirely different ...

A single neuron is just a line drawn through space, but stack enough layers and something remarkable happens: scattered, inseparable perceptions collapse into clean, clustered concepts. This video ...

Three mathematicians just proved a famous 30-year-old conjecture in geometry, with only a tiny assist from AI. The conjecture says that even within enormous, scattered and chaotic assemblages of ...

Stream networks express how Earth’s hydrologic cycle is embedded within its three-dimensional topography. In a top-down view, a stream network’s morphology is often described by its topological ...

As AI continues to evolve, the real breakthrough is not just in what machines can see or say, but what they can understand about shape. Neural networks have progressed beyond classifying images and ...

The 2024 Nobel Prize in Chemistry was recently granted to David Baker, Demis Hassabis and John M. Jumper, renowned for their pioneering works in protein design. In addition, Nature has recently ...

The mirror spider can rapidly shift a patchwork of minuscule reflective plates underneath its abdomen’s outer surface, altering the pattern of mirrorlike flashes. This uncommon display comes from ...

Decades of research has viewed DNA as a sequence-based instruction manual; yet every cell in the body shares the same genes – so where is the language that writes the memory of cell identities?

A constellation of classified defense satellites built by the commercial company SpaceX is emitting a mysterious signal that may violate international standards, NPR has learned. Satellites associated ...