Professional mathematicians have been stunned by the progress amateurs have made in solving long-standing problems with the ...

GPT-5.2 Pro delivers a Lean-verified proof of Erdős Problem 397, marking a shift from pattern-matching AI to autonomous ...

Abstract: In this article, we deal with stochastic optimization problems where the data distributions change in response to the decision variables. Traditionally, the study of optimization problems ...

Abstract: The slime mould algorithm (SMA) simulates the mechanism by which slime moulds optimize paths through chemical signaling and morphological changes, enabling efficient exploration and ...

Most of us have an inner dialogue, that little voice in our heads that crystallizes what we think about what’s happening around us, or to us. And for years, researchers have found benefits to using ...

Small apartments don’t forgive permanent mistakes. This build solves that by using tension rods and just three screws to create a fully modular vertical structure. The weight stays on the floor, not ...

This video reveals 21 brand-new hacks designed to make everyday life easier. Each tip focuses on saving time, effort, or frustration. The ideas are practical, simple, and surprisingly effective. Most ...