Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

Pichai unveiled Gemini 3.5 Flash, a model which is designed to rival frontier offerings while cutting costs. He said companies could save over $1 billion annually if they shifted 80% of workloads to a ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

Turns out, Ukraine has got cards. Just last fall, Russia was inexorably advancing on the battlefield, money was running out and President Trump was pressing a peace deal on terms that favored Moscow.

OpenAI claims its model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years — a breakthrough hailed as evidence of the bot’s creativity and “intuition.” ...

We spend a lot of time thinking about the difficult people in our lives—the friend who can't take feedback, the partner who always has to be right, the coworker who turns everything into a fight. But ...

In the last months, weeks, and days of his life, "I will not go to the emergency room" became my husband's mantra. Andrej had esophageal cancer that had spread throughout his body (but not to his ever ...

In the early-morning hours last Friday, a Molotov cocktail-style projectile hit a gate outside of the San Francisco mansion of Sam Altman, the founder and C.E.O. of OpenAI. Soon after, the suspected ...

LG Energy Solution signed on for a 597,000 square-foot space in a new industrial park in west Phoenix, according to city permitting documents. The South Korea-based tech giant is moving into West 202 ...