Noether's work helped prove the conservation of energy in physics, a key foundation for Einstein's theory of relativity ...

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 ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Implementations of matrix multiplication via diffusion and reactions, thus eliminating ...

To consider the relationship between generalization, explanation, and understanding, let us consider an example. Suppose we have two intelligent agents, AG1 and AG2, and suppose we ask both to ...

Coffee linked to significant new side effect, says massive study Trump veers into unusual territory during 250th anniversary speech Two charged over sick synagogue attack Demon averts danger to ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Abstract: This article explores deeply the finite-time stabilization for the fuzzy complex-valued neural networks (CVNNs) model with discrete delays and distributed delays. Based on the quadratic norm ...

Most people would say Mac Lane invented monoidal categories. But the history is more complicated — as usual. There are actually two questions here: who invented the concept of monoidal category, and ...

Now that I finally understand the proof of the Wedderburn–Artin Theorem, I want to do what any good category theorist would do: formulate it more generally and abstractly, so nobody can understand me ...