In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent my days and nights struggling through a Ph. D.

In this video, we provide essential "math help" by explaining how to "solve" a "system of equations" using the "substitution ...

Abstract: This paper develops several new dynamical designs, based on the gradient neural network (GNN), from the perspective of control theory to solve the time-varying Sylvester equation (TVSE). We ...

Insects join list of species capable of solving simple ‘box-and-banana’ problem that demonstrates basic intelligence Bumblebees can use tools to solve a problem, according to experiments that ...

Add Yahoo as a preferred source to see more of our stories on Google. Contrary to their name, bumblebees are no bumbling oafs. A new study published in Science on Thursday found that these bees ...

Bumblebees faced with a challenge know how to play ball. Buff-tailed bumblebees can figure out on their own how to use a ball as a ladder to nab sugar from an out-of-reach fake flower, researchers ...

German psychologist Wolfgang Köhler set up a famous experiment more than 100 years ago that changed how scientists understand animal intelligence and the power of insight — or spontaneous ...

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 ...

The math world is losing its mind over the new solution to an Erdős problem. This is what AI found, how we missed it—and why it matters.

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: Physics-informed neural networks (PINNs) have recently been utilized to tackle wave equation-based forward and inverse problems. However, they encounter challenges in accurately predicting ...