In solid modeling and computer-aided design, the Euler operators modify the graph of connections to add or remove details of a mesh while preserving its topology. They are named by Baumgart after the ...

cannot go on until some arbitrary choice has been made by an external operator. This would be the case if we were using machines to deal with axiomatic Thin-shell structure their three-dimensional ...

FrontierMath's performance results, revealed in a preprint research paper, paint a stark picture of current AI model ...

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The last eleven chapters cover Morse theory, index of vector fields, Poincaré duality, vector bundles, connections and curvature, Chern and Euler classes, Thom isomorphism, and the general ...

An unimaginable number has just been discovered. Its particularity? It is a prime number with more than 41 million digits, an ...

Record-Breaking Prime Number, 41 Million Digits Long, Blows Mathematicians’ Minds ...

Geometry Script is a robust yet easy to use Python API for creating Geometry Nodes with code. At a certain point, Geometry Node trees become unmanagably large. Creating node trees in Python enables ...

Nov. 20, 2024 — Researchers used the Dark Energy Spectroscopic Instrument to map how nearly 6 million galaxies cluster across 11 billion years of cosmic history. Their observations line up with ...