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

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 ...

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

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

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 ...

At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical way of thinking into the world of physics. At the time, physicists ...

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 ...

Synchronization abounds in nature: from the flashing lights of fireflies to the movement of fish wriggling through the ocean, ...

Artificial intelligence for formal mathematical reasoning startup Harmonic AI Inc. announced today that it has raised $100 million in new funding on a nearly $900 million valuation to accelerate the ...