Are two sets of data genuinely different, or is it because of randomness? This question, known as the two-sample testing problem, becomes notoriously difficult in modern datasets, because they are ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians ...

In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...

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 ...

The National Council of Teachers of Mathematics makes the argument that teachers, principals, and district leaders must “stay up to date on current AI trends” to prepare students for the future. But ...

You’re reading The Financial Page, John Cassidy’s weekly column on economics and politics. In the early nineteen-nineties, when Arindrajit Dube was growing up in Seattle, where his parents were ...

After 30 months of fast-paced innovation in quantum algorithms, six research groups are hoping to hit paydirt. But there can be only one big winner—if there is a winner at all. I’m standing in front ...

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 ...

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 parts of the Middle East and North Africa, a patchwork of sanctions, payment failures, and licensing gaps pushes people into piracy networks. In the Middle East, piracy is illegal in countries with ...

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Your brain could be gently coaxed into working on complex problems while you sleep, making you better able to tackle them the next day. Now, Karen Konkoly at Northwestern University in Illinois and ...