The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic theory from the microscopic one; and then stitch them together in a single ...

That's the finding of eye-opening preprint research into simulated reasoning (SR) models, initially listed in March and ...

Modern conflicts will not be won by those who simply build the most capable AI-powered systems. It will be won by those who ...

College can be thrilling, demanding, and unpredictable. The need for mathematics is one item that always surprises pupils.

Mehtaab Sawhney, who joined Columbia last year, enjoys the thorny work of proving a seemingly straightforward statement of ...

Photo: Second Sip Gin] “Two martinis are better than one,” says Robitschek. “But hopefully, there’s no regrets in the morning ...

Sidney Perkowitz uncovers the pioneering work of the German physicist and philosopher Grete Hermann, who sparred with the ...