Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

Using AI chatbots for even just 10 minutes may have a shockingly negative impact on people’s ability to think and problem-solve, according to a new study from researchers at Carnegie Mellon, MIT, ...

Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares by looking for binomials that have square terms. A difference of two ...

In some ways, artificial intelligence chatbots seem ready-made to help answer basic questions about work like, "How do I ask my boss for a promotion?" or "What should I tell my colleague who's slowing ...

When a startup struggles, founders usually assume the solution is obvious: more marketing, more hiring, or more capital. But in my experience advising founders, the real issue is usually something ...

Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares by looking for binomials that have square terms. The difference of two ...

Paying invoices sounds simple enough. A vendor creates an invoice and sends a bill, your team approves it, and the money goes out. In practice, though, invoice payments are where a lot of finance ...

Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...

In a dark room, in the middle of the night, a woman lies dreaming. Suddenly, her eyes beneath their lids dart crisply left-right, left-right. The eye signal means she knows she’s dreaming. Lucid ...

At a secret meeting in 2025, some of the world's leading mathematicians gathered to test OpenAI's newest large language model, o4-mini. Experts at the meeting were amazed by how much the model's ...

One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...

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 ...