The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

You’re at the checkout screen after an online shopping spree, ready to enter your credit card number. You type it in and instantly see a red error message ...

If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle the easiest pieces first. But this kind of sorting has a cost.

SpaceX uses 3D printers and a process of relentless refinement to streamline its Raptor engines. In the Raptor 3, plumbing and wiring that had been on the outside were fused into the motor’s metal ...

The private-equity investments by the largest public-pension manager in Massachusetts generated more cash than they consumed in 2023, spurring hope that two years of weak industrywide returns might be ...

Forbes contributors publish independent expert analyses and insights. I write about fitness, health and wearable tech Algorithms have taken on an almost mythical significance in the modern world. They ...

Companies, nonprofit organizations, and governments design algorithms to learn and predict user preferences. They embed these algorithms in recommendation systems that help consumers make choices ...

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