By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of ...

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Department of Biochemistry & Molecular Biology Michigan State University, East Lansing, Michigan 48824, United States Department of Computational Mathematics, Science & Engineering Michigan State ...

Google’s AlphaGeometry2 AI reaches the level of gold-medal students in the International Mathematical Olympiad ...

Well, the lab thinks the key to more capable AI might lie in discovering new ways to solve challenging geometry problems — specifically Euclidean ... these into a larger set of 50 problems.

In this work, we treat neuron trace points as a sampling of differentiable curves and fit them with a set of ... of differential geometry. These formulas completely characterize continuously ...

Here we examined the organizing principles of a large set of actions and the corresponding neural representations ... we extracted the pairwise Euclidean distances from the participants’ inverse MDS ...