For new discoveries, everyday mysteries, and the science behind the headlines, follow NPR's ShortWave podcast . Over a century ago, the German psychologist Wolfgang Köhler conducted what became a ...

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 ...

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 ...

Given an integer array `nums`, return `true` if you can partition the array into two subsets such that the sum of the elements in both subsets is equal, or `false` otherwise. - To solve this problem, ...

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 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 ...

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 ...