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Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms. How hard is it to prove that problems are hard to solve?

From living matter to molecules to elementary particles, the world is made of “chiral” objects that differ from their ...

Experts predicted that artificial intelligence would steal radiology jobs. But at the Mayo Clinic, the technology has been ...

Tombs that are scattered across Ireland may have helped bring ancient societies together for feasting and remembering their ...

THE changes which have been made in the new edition of this valuable manual of constants are mostly matters of detail. All the chemical data have been recalculated on the basis of the ...

Skye forwards Ross Gordon, Neil MacVicar, Jamie Gillies and Dan MacDonald all hit the frame of the goal during a blistering opening 20-minute spell, but Fort William led after 81 minutes through ...

Kevin Tracey's authoritative look at the vagus nerve and its healing potential is comprehensive and compelling, cutting ...

How DOGE is taking America back to the 1800s, one agency closure at a time ...

President Donald Trump’s effort to do as much as possible as quickly as possible to remake the federal government would gut ...

If students spend all their time trying to understand the words or the context of a problem, they’ll struggle to understand which mathematical function to pick. But making word problems too ...

We have found, however, that this incredible diversity is underpinned by a hidden mathematical rule that governs the growth and shape of beaks in nearly all living birds. What's more, this rule ...