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Chemomechanical simulation of soap film flow on spherical bubbles
ACM Transactions on Graphics, 2020 Soap bubbles are widely appreciated for their fragile nature and their colorful appearance. The natural sciences and, in extension, computer graphics, have comprehensively studied the mechanical behavior of films and foams, as well as the optical ...
Chenfanfu Jiang
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Generalized soap bubbles and the topology of manifolds with positive scalar curvature
Annals of Mathematics, 2020We prove that for $n\in \{4,5\}$, a closed aspherical $n$-manifold does not admit a Riemannian metric with positive scalar curvature. Additionally, we show that for $n\leq 7$, the connected sum of a $n$-torus with an arbitrary manifold does not admit a ...
Otis Chodosh, Chao Li
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Nature Communications, 2019 Droplets or puddles tend to freeze from the propagation of a single freeze front. In contrast, videographers have shown that as soap bubbles freeze, a plethora of growing ice crystals can swirl around in a beautiful effect visually reminiscent of a snow ...
S Farzad Ahmadi +2 more
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SOAP: Improving and Stabilizing Shampoo using Adam
arXiv.orgThere is growing evidence of the effectiveness of Shampoo, a higher-order preconditioning method, over Adam in deep learning optimization tasks. However, Shampoo's drawbacks include additional hyperparameters and computational overhead when compared to ...
Nikhil Vyas +6 more
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Beyond intestinal soap—bile acids in metabolic control
Nature Reviews Endocrinology, 2014Folkert Kuipers +2 more
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On the stability for Alexandrov’s Soap Bubble theorem
Journal d'Analyse Mathematique, 2016Alexandrov’s Soap Bubble Theorem dates back to 1958 and states that a compact embedded hypersurface in ℝN with constant mean curvature must be a sphere. For its proof, A. D. Alexandrov invented his reflection principle. In 1977, R.
R. Magnanini, Giorgio Poggesi
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SOAP: One Clean Analysis of All Age-Based Scheduling Policies
PERV, 2017We consider an extremely broad class of M/G/1 scheduling policies called SOAP: Schedule Ordered by Age-based Priority. The SOAP policies include almost all scheduling policies in the literature as well as an infinite number of variants which have never ...
Ziv Scully +2 more
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