Abstract: This article proposes a new framework using physics-informed neural networks (PINNs) to simulate complex structural systems that consist of single and double beams based on Euler–Bernoulli ...

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 ...

Despite having tiny brains, bumblebees have demonstrated a remarkable ability to socially learn how to use tools, solve simple puzzles, and cooperate to achieve a goal. It seems they can also solve ...

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 ...

I am a cram school principal. Watching middle school students in the classroom, I can sometimes tell how they are doing that day just by their study posture. Students who walk in with their backs ...

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 ...

Learn how to compose two linear functions. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of one of ...

Frank Merle is used to confronting a messy world. He works on the mathematics of highly nonlinear systems—ones that respond in dramatic, unpredictable ways to even the smallest changes. It’s the same ...

A Rutgers physicist collaborates with Claude on a research project and says universities must prepare students for a new model of scientific study For years, Rutgers physicist David Shih solved ...

👉 In this playlist, you will learn how to solve a literal equation. We will work through solving literal equations from formulas as well as equations of a line. When solving literal equations we will ...

Let's keep things simple – this is basic math. Nothing scary. Just everyday calculations, a bit of geometry, some number patterns, and the kind of stuff you definitely learned in school at some point.

Mathematics, like many other scientific endeavors, is increasingly using artificial intelligence. Of course, math is the backbone of AI, but mathematicians are also turning to these tools for tasks ...