Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

Abstract: In this paper, the dynamic event-driven optimal control problem is investigated for a class of continuous-time nonlinear systems subject to asymmetric input constraints in the framework of ...

two subsets such that the **sum of elements in both subsets is equal**. - Let `totalSum` be sum of all elements. - If totalSum is odd → cannot split equally. - We must check whether there exists a ...

A high-performance C# implementation of the classic NP-complete Subset Sum problem. Built as a research-driven exploration of computational complexity, this project applies advanced algorithmic ...

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 ...

Every video game is a miracle. Long hours, extraordinary technical and artistic requirements and cross-disciplinary collaboration: the very act of making games is difficult, and leaves room for ...

Abstract: The purpose of this note is to extend the approximate dynamic programming (ADP) method to the infinite time stochastic optimal control (ergodic) problem. It is also shown that a modification ...

Whoever pays the most into the pot is the loser. Whoever gets the most is the winner. By Amanda Taub What is President Trump up to? This is arguably the most important question in the world right now ...

The artificial intelligence start-up said the new system, OpenAI o3, outperformed leading A.I. technologies on tests that rate skills in math, science, coding and logic. By Cade Metz Reporting from ...