Today Merle received this year’s Breakthrough Prize in Mathematics for his achievements. The prize comes with a $3-million ...

Arsenal and Manchester City battle for the 2025/26 Premier League title. We analyse odds, form, and key factors shaping the ...

👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided ...

👉 Learn how to take the derivative of a function. Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of ...

I’ll be honest: I’m not especially keen on making crosscuts with a table saw. Doing so introduces stability problems that don’t really exist when ripping lumber. When you rip a board, the material ...

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 ...

Flash floods are among the deadliest weather events in the world, killing more than 5,000 people each year. They’re also among the most difficult to predict. But Google thinks it has cracked that ...

In 2019, Monte Leifheit, a warehouse operator at 3M, noticed his left eye was bloodshot and swollen. What began as a minor irritation turned into a yearlong medical odyssey marked by the lack of a ...

When my cofounder and I were accepted into a competitive startup accelerator program in fall 2025, we applied with an ambitious idea: to build an “AI scientist” for machine learning research. What ...

The currents of the oceans, the roiling surface of the sun and the clouds of smoke billowing off a forest fire—all are governed by the same laws of physics, and give rise to a complex phenomenon known ...

Sen. Martin Heinrich, D-N.M., listens as Sen. Mike Rounds, R-S.D., speaks during a news conference at the Capitol on May 15, 2024 in Washington, D.C. (Photo by Kent Nishimura/Getty Images) Congress is ...