Abstract: Given a multiset of n positive integers and a target sum S, the subset sum problem is to find a subset such that the sum of its elements is as close as possible to S without exceeding S. We ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered impossible for even the most powerful conventional supercomputers. The ...

The language-learning app with more than 100 million users has embraced artificial intelligence but has also faced consumer backlash for it. By Jordyn Holman Reporting from Duolingo’s Pittsburgh ...

Using an advanced Monte Carlo method, Caltech researchers found a way to tame the infinite complexity of Feynman diagrams and solve the long-standing polaron problem, unlocking deeper understanding of ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Breaking space news, the latest updates on rocket launches, skywatching events and more! You are ...

A new proof illuminates the hidden patterns that emerge when addition becomes impossible. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward ...