For instance, add any two odd numbers and you’ll get an even number. The set of odd numbers is therefore sum-free. In a 1965 paper, the prolific mathematician Paul Erdős asked a simple question about ...

Credit: Valerie Kuypers/AFP via Getty The system was able to solve 84% of all geometry problems set in IMOs over the past 25 years, compared with the 54% achieved by the original AlphaGeometry.

Dec. 4: I have posted a number practice problems. We will go over some of them, as well as some of the questions in previous problem sets next week. Dec. 1: The final exam will be on Monday, December ...

Noah A. Fanous ’19, who took an intensive version of Chemistry 17 this summer, said he found completing problem sets to be more helpful and enjoyable on the check-based system.

Since Anning and Erdős’ work in 1945, mathematicians have made little progress on understanding integer distance sets. Over time, the integer distance problem seemed to join an array of other problems ...