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Linked paper from the x thread: https://arxiv.org/pdf/2411.19826 https://arxiv.org/pdf/2411.19826
by big-green-man 2y ago
Linked paper from the x thread: https://arxiv.org/pdf/2411.19826 https://arxiv.org/pdf/2411.19826
- aeonik 2y agoI had ChatGPT summarize this paper for me. It's pretty impressive to me that a single post doc has this much breadth in a single paper. Convex Geometry - Brunn-Minkowski theory - Surface Area Measure Measure Theory - Lebesgue–Stieltjes Measure - Green’s Theorem Differential Geometry - Weak derivatives for boundaries - Trajectories and rotation paths Optimization and Functional Analysis - Quadratic functionals - Concavity and global optimization Combinatorial Geometry - Balanced polygons - Iterative approximation and discretization Computational Geometry - Numerical simulations - Verification of bounds and injectivity Advanced Theorems - Mamikon’s Theorem - Jordan Curve Theorem