What I remember is the reflex—an almost-automatic pivot to an external brain to help me locate my own train of thought. I ...

For years, physicists were stuck in trying to explain an important mathematical problem in physics. The right approach ended ...

Dylan Kane likes his math curriculum. But there’s one important piece missing, he says. The 7th grade math teacher in Leadville, Colo., uses a program that teaches math skills through real-world ...

Large language models face a fundamental computational limit that causes undetected errors in complex tasks. Hybrid AI ...

Tensor networks enable researchers to tackle quantum physics problems previously thought to be solvable only by quantum computers. Credit: Lucy Reading-Ikkanda/Simons Foundation By applying a 1980s ...

Beyond advanced mathematics or theoretical computing breakthroughs, PQC is about protecting the systems enterprises already ...

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

AI can rifle through enormous libraries of information to connect far-flung ideas—conceptual leaps remain a purely human skill. The planar unit distance problem, or Erdős problem 90, has intrigued ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

Abstract: Tropical geometry is a relatively recent field in mathematics and computer science, combining elements of algebraic geometry and polyhedral geometry. The scalar arithmetic of its analytic ...