Abstract: Accurate power system observability relies on the optimal phasor measurement unit (PMU) placement to minimize costs while ensuring complete state observability. However, modeling the effect ...

TypingClub shows you how to type quickly and correctly on your keyboard. You can participate in free training, and you don’t ...

If you happen to be on a Texas highway sometime this summer, and see a 50,000-pound semi truck barreling along with nobody behind the wheel, just remember: A self-driving truck is less likely to kill ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Sandy Bullock and I, and then Joey King and Maisie [Williams]—we had an incredible cast. A lot of ...

The original version of this story appeared in Quanta Magazine. Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price.

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Copilot’s limitations are ever-present, and it can lead you astray on even the basics. If you buy something from a Verge link, Vox Media may earn a commission. See our ethics statement. is a reviewer ...

The new quantum computing algorithm, called "Quantum Echoes," is the first that can be independently verified by running it on another quantum computer. When you purchase through links on our site, we ...

Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price. Unhappy with their meager profits, they meet one night in a ...

Microsoft Copilot works with several built-in Windows 11 apps to generate content, summarize text, analyze images, and answer questions. If you have a Microsoft account, you can now tap into AI with ...

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 ...

Most Americans express confidence in their ability to do various practical tasks, according to a recent Pew Research Center survey. The survey asked Americans if they felt they could do each of 12 ...