Artificial intelligence systems based on neural networks—such as ChatGPT, Claude, DeepSeek or Gemini—are extraordinarily ...

Harvard University physicists have created a simplified mathematical model to study how neural networks learn, using statistical physics to uncover underlying patterns. The approach, likened to early ...

Mathematical physics occupies the fertile borderland between pure mathematics and theoretical physics, developing precise frameworks to formulate and solve the laws governing nature. It embraces the ...

Mathematical physics methods, as a technique category, comprise the rigorous analytical and structural tools used to formulate, analyze, and solve physical theories in a mathematically precise ...

According to OpenAI, o1 performs similarly to PhD students on challenging benchmark tasks in physics, chemistry, and biology, and even excels in math and coding. OpenAI said its project Strawberry has ...

You will never be able to prove every mathematical truth. For me, this incompleteness theorem, discovered by Kurt Gödel, is one of the most incredible results in mathematics. It may not surprise ...