This is where Emmy Noether, a groundbreaking German mathematician, comes into the picture. She found a breathtakingly simple ...

Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

A decades-old rule in mathematics has just been pushed beyond its long-standing limits, opening new ground for how scientists describe the physical world. At the University of Vaasa in Finland, ...

Americans footprint in the Middle East reads like a geometry lesson written in sand – the shapes shift, the names change, but the angles never do. Each intervention begins with certainty, swells with ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

Pythagoras is perhaps the most famous figure in the group of ancient Greek philosophers known as the Pre-Socratics. This is largely due to the Pythagorean Theorem, a mathematical theorem that is still ...

Geometry optimization is essentially a serial collection of single-point force calculations. However, it is included as a standalone task due to its widespread use across the entire field of ...