Mathematical physics is an interdisciplinary field that employs rigorous mathematical methodologies to elucidate and model physical phenomena. It draws upon diverse areas such as differential geometry ...

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...

A fundamental link between two counterintuitive phenomena in spin glasses—reentrance and temperature chaos—has been ...

Machine learning models are designed to take in data, to find patterns or relationships within those data, and to use what ...

You will never be able to prove every mathematical truth. For me, this incompleteness theorem, discovered by Kurt Gödel, is one of the most incredible results in mathematics. It may not surprise ...

Physicists and marine biologists built a quantitative framework that predicts how coral polyps collectively construct a variety of coral shapes. Since before she could remember, Eva Llabrés was a ...

Researchers examined how pasta swells, softens, and becomes sticky as it takes up water. They combined measurements of pasta parameters, such as expansion, bending rigidity, and water content to solve ...

In the core of a knitting machine or at the tips of a skilled knitter’s needles, a strand of fiber can be transformed into anything from a delicate scarf to a bulletproof vest. But different knitting ...

Zebras and tigers have stripes, cheetahs and leopards have spots, and the ocellated lizard (Timon lepidus) boasts a labyrinthine pattern of black-and-green chains of scales. Now researchers from the ...