You just had to get lucky and hope that the document ID that you were looking at contains what you’re looking for,” said Igel ...

Roula Khalaf, Editor of the FT, selects her favourite stories in this weekly newsletter. Copper miners are turning to vast waste piles, novel extraction technologies and even bacterial “bugs” in an ...

The original version of this story appeared in Quanta Magazine. Standing in the middle of a field, we can easily forget that we live on a round planet. We’re so small in comparison to the Earth that ...

Although the Mac offers fantastic support for opening and editing PDFs in the built-in Preview app, the simple act of copying and pasting text from a PDF can still be a nightmare. For instance, ...

A new theory proposes that the universe’s fundamental forces and particle properties may arise from the geometry of hidden extra dimensions. These dimensions could twist and evolve over time, forming ...

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 ...

Dr. Fryer is a professor of economics at Harvard University, founder of Equal Opportunity Ventures and a senior fellow at the Manhattan Institute. Call it MAG: mutually assured gerrymandering. First ...

Have you ever stared at a massive spreadsheet, overwhelmed by the chaos of mixed data—names, IDs, codes—all crammed into single cells? It’s a common frustration for anyone managing large datasets in ...

Stephen L. Levy receives funding from the National Science Foundation and the National Institutes of Health. He is affiliated with CyteQuest, Inc. Richard Feynman, a famous theoretical physicist who ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

Tired of rewinding YouTube videos repeatedly to jot down notes, missing crucial information along the way? There’s a better way! Imagine instantly accessing the complete text of any YouTube video, ...