Prime numbers scatter with apparent randomness, yet a single logarithmic formula predicts their density with uncanny ...

Clarkson University researchers have developed an artificial intelligence tool that can uncover the mathematical equations ...

When checking that solutions to certain problems are correct, it turns out, you can’t get around the inherent complexity of ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Abstract: In this talk, I will discuss applications of spectral theory to problems arising in materials science and physics, focusing on quantum dynamics governed by the Schrodinger equation in three ...

Recent experiments in circuit quantum electrodynamics and electric circuit networks have demonstrated the coherent propagation of wave-like excitations on hyperbolic lattices. The negative curvature ...

In order to realize the real-time processing and analysis of astronomical ultra-wide bandwidth signals, this study proposes a sub-band division algorithm based on RFSoC. The algorithm uses Kaiser ...

1 Engineering Research Center of Ministry of Education for Financial Computing and Digital Engineering, Henan Academy of Sciences, Renmin University of China, Beijing ...

1 On our inability to do much. 4 On the reliability of mechanisms. 8 On our mental aids. 15 An example of a correctness proof. 19 On the validity of proofs versus the validity of implementations. 21 ...