Axiom says its AI found solutions to several long-standing math problems, a sign of the technology’s steadily advancing reasoning capabilities.

Gigantic black holes lurk at the center of virtually every galaxy, including ours, but we've lacked a precise picture of what ...

⚠️ Note: The figure generation scripts are currently being consolidated from multiple Jupyter notebooks. Python .py versions will be added progressively for reproducibility. 🗓️ This research was ...

Abstract: One of the primary objectives of 2-D inverse scattering problems (ISPs) is to accurately characterize the nature of an unknown tomographic domain based on the collected scattered field data.

Abstract: In this study, a contrast source inversion (CSI) based physics-informed neural network method is proposed for solving inverse scattering problems. The proposed method constructs two sets of ...

This breakthrough radically changes the understanding of one of the oldest areas of mathematics, crucial to fundamental physics and economics ...

Mathematician Marcus du Sautoy traces the hidden patterns linking Shakespeare, symmetry, artificial intelligence, and football, arguing that mathematics is not cold calculation but the quiet engine of ...

For decades, wormholes have been hypothesized as mysterious tunnels that might let us cross ...

In this video, we explain vectors and derivatives as essential math methods used in physics, showing how they describe motion, direction, and change. Clear explanations and examples help connect ...

Paul Erdős, known as the most prolific mathematician of the 20th century, proposed many unsolved problems throughout his life, known as 'Erdős problems.' GPT-5.2 Pro solved one of these problems, and ...

According to Greg Brockman (@gdb) and Terence Tao, GPT-5.2 Pro has reached a significant milestone by independently solving an Erdos problem—a first for large language models (LLMs). This achievement ...