Researchers uncover the mathematical structure behind mesmerizing tiling patterns, linking their visual appeal to the ...

David Harper is the CEO and founder of Bionic Turtle. He is also a published author with a popular YouTube channel on expert finance topics. Samantha (Sam) Silberstein, CFP®, CSLP®, EA, is an ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

Abstract: Estimating the surface from given atoms with location and size information is a fundamental task in many fields, such as molecular dynamics and protein analysis. In this paper, we present a ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

Abstract: Multiple mobile robots play a crucial role in spatially distributed tasks. In unknown and nonrepetitive scenarios, reconstructing a global map is time-consuming and often unnecessary. Hence, ...

I didn’t find math particularly exciting when I was in high school. To be honest, I only studied it when I went to university because it initially seemed quite easy to me. But in my very first math ...

Large Language Models (LLMs) have emerged as powerful tools in natural language processing, yet understanding their internal representations remains a significant challenge. Recent breakthroughs using ...

Dr. JeFreda R. Brown is a financial consultant, Certified Financial Education Instructor, and researcher who has assisted thousands of clients over a more than two-decade career. She is the CEO of ...

After Albert Einstein published his special theory of relativity in 1905, he spent the next decade trying to come up with a theory of gravity. But for years, he kept running up against a problem. He ...