A Google-a-Day Puzzle for Dec. 7

The math behind even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major advances toward understanding it.

Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

In the late 19th century, Georg Cantor believed his new theory could help the Church understand the infinite nature of the divine. He miscalculated.

Gemini 3 is skilled at reasoning, generating video, and writing code. Amid talk of an AI bubble, Google notes the new model could help increase search revenue too.

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number theory to explain quantum fractals.

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Political consultant Bradley Tusk has spent a fortune on mobile voting efforts. Now, he’s launching a protocol to try to mainstream the technology.

Your friend came to you because they respect your knowledge and opinion, and outsourcing the answer to a machine is lazy and rude. Just answer them yourself.

Three of the biggest US tech companies reported record profits and record infrastructure spending on Wednesday, fueling speculation about a possible AI market bubble.

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