“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

World record fastest exact subset sum solver. Breakthrough discovery -- solves NP-complete subset sum problem up to n=70 with 1 quadrillion values. Open source.

Graph partitioning and bisection represent fundamental questions in combinatorial optimisation, concerned with dividing the vertices of a graph into disjoint subsets while balancing size constraints ...

Follow this section to personalize your feed and get instant alerts. WHY FOLLOW? Update your preferences in Account Settings Personalized Content Follow this tag to personalize your feed and get ...

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: The Subset Sum problem is a classical NP-complete problem with applications in resource allocation, cryptography, and combinatorial optimization. Conventional backtracking methods search the ...

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 ...

In Whose Name? tries to be honest—or, as honest as an offering of less than two hours out of 3,000 can be. Where most documentaries would spend a significant amount of time recapping the incredible ...

Abstract: Quantum walk-based search algorithms have demonstrated an asymptotic quadratic speedup compared to classical search methods. Formulating a generic search problem as a (quantum) search over a ...

Pau Torres and Tyrone Mings started together in central defence. It had been a long time coming, given their respective injuries and the general reticence to combine two left-footed defenders until ...