After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

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 ...

Maryland has become the first state in the U.S. to ban stores from engaging in dynamic pricing, a controversial practice gaining traction at retailers nationwide. Gov. Wes Moore first introduced the ...

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 ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

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 ...

A study with 500-plus consumers showed 62 percent of restaurants worry about how consumers will react—and with good reason. Let’s be clear: While dynamic pricing is a feasible option for many ...