A Few Layers Quietly Fuel AI Math Reasoning

Hidden inside the soaring performances of large language models is a stubborn mystery: where does math reasoning actually live in the network? For readers who have tracked AI progress, it’s tempting to think improvements come from sweeping changes across the whole brain of the model, like a software update that rewires every neuron to think…

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A New Hamiltonian Trick That Linearizes Orbits

The cosmos loves a good loop, but the math that describes those loops can be dizzying. When a small body whizzes around a planet under gravity, the equations of motion are famously nonlinear and full of singularities. Regularizing them—making the math behave nicely near tricky points—has long been a quest in celestial mechanics. A team…

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A Brainier Way to Turn Serial Code into Parallel Power

Parallel computing has a reputation for being a choreography of complexity. OpenMP—the venerable standard that lets C and C++ programs run on multiple cores with simple directives—asks developers to reason about data sharing, loop dependencies, and race conditions. When an ordinary programmer tries to sprinkle parallelism into a real‑world workload, the dance can stumble: compile…

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When Substrings Cross a Point and Surprise Us

On the surface, counting substrings seems like a dusty corner of theoretical computer science—the sort of puzzle you expect to be solved with clever tricks and careful bookkeeping. But the paper counting distinct (non-)crossing substrings by Umezaki, Shibata, Köppl, Nakashima, Inenaga, and Bannai from Kyushu University and collaborators reframes this classic task as a lens…

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