Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Recent media coverage of an 18-year-old woman from Greenland's legal battle to regain custody of her baby after the child was taken from by government authorities just an hour after birth has cast a ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Physicist Albert Einstein famously posited that if he only had an hour to crack a daunting problem, he'd devote 55 minutes to understanding it and only five minutes to crafting a solution. Einstein ...

My kids are still reeling from the cosmic injustice that Chick-fil-A closes on Sundays, and so it’s no surprise that, after a few Trump-free days, dopamine-deprived Americans were twitching for their ...

For years, I've watched the Pentagon's innovation process with the same mixture of frustration and respect that a coach feels for a team with immense potential but a flawed game plan. So when I heard ...

Creating opportunities to talk about math builds understanding and strengthens language development for all students—and particularly English language learners. The National Council of Teachers of ...

We like to think that we're pretty good at math, especially after years of schooling. But every once in a while, a simple third-grade math problem manages to trip us up and make us question our ...

What if the toughest problems humanity faces—those that stump our brightest minds and stretch the limits of human ingenuity—could be tackled by a single, purpose-built system? Enter Gemini Deep Think, ...

It never fails. One person writes a long, thoughtful, but subtly scathing email. Another replies, equally measured, equally sharp. Before you know it, everyone’s relationship to the business—and to ...

Gemini 2.5 Deep Think has scored well in math competitions, and a version of it is now available for those who fork over $250 a month. Jon covers artificial intelligence. He previously led CNET's home ...