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I think this has a legitimate case to be the most startling identity in mathematics. It’s a simple, natural sum involving odd numbers. What the hell is a pi doing there?!? Happy #piday, everyone!

DeepSeek has taken the tech world by storm. Here’s how the little-known Chinese startup did it. My latest with Smriti Mallapaty and Elizabeth Gibney nature.com/articles/d4158…

A scientist's guide to LLMs -- my latest for nature. I had to whittle out a bunch of models from my first draft and I'd love to know your favs that I missed nature.com/articles/d4158…

HISTORY OF PHYSICS What's wrong with this Lagrangean? by David Mermin. [This is so funny that I'll post it in full]

New kid on the block nature study shows that films of nickelates are unconventional superconductors at room pressure (tho still chilly temps). They're simpler &easier to control than cuprates. Could they help to finally unravel high-temp superconductivity?nature.com/articles/d4158…

China is leading the world in research into new kinds of computing chips, data from @csetgeorgetown suggests. If it can be commercialised, China would leapfrog the US, and the US wouldn't be able to hold back Chinese AI with export controls. My story here: nature.com/articles/d4158…

Projects like yesnoerror & Steve Newman's Black Spatula Project are using LLMs to quickly & cheaply find errors in scientific papers. The impact could be huge. But the methods create false positives & come with risks. My story on the v different approaches: nature.com/articles/d4158…

Here's a fascinating claim to have made electricity using a static ceramic tube. Not a perpetual motion machine, it takes energy from Earth's rotation, say researchers, creating a current as the tube moves through Earth's magnetic field. Many are sceptical nature.com/articles/d4158…

A team led by China's Jian-Wei Pan has created a fridge-sized, 23kg satellite that can perform quantum key distribution in space & used it to transmit a secure image 13,000km. A quantum secure network that spans the globe is not far away. My nature story: nature.com/articles/d4158…

"All of the excitement is based in real, measurable progress.” 👏 SLAC particle physicist Spencer Gessner spoke with Nature's Elizabeth Gibney about a proposed accelerator boosting the energy of powerful future colliders.

.nature's measure of top-cited papers of the 21st century is a very AI-heavy list! Microsoft's ResNets comes in at number 1, with ImageNet, Random Forests and 'Attention is all you need' also in the top 10. Cancer, mental health & PCR are up there too nature.com/articles/d4158…

Congrats Abeba Birhane & team for publishing this new piece Elizabeth Gibney nature on how computer-vision research powers surveillance technology. nature.com/articles/d4158… Oxford Internet Institute

Probing photons inside a barrier also challenges a long-standing interpretation of quantum physics go.nature.com/44AO2U1