4,607 research outputs found

    Poisson (co)homology and isolated singularities

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    To each polynomial \v\in\F[x,y,z] is associated a Poisson structure on \F^3, a surface and a Poisson structure on this surface. When \v is weight homogeneous with an isolated singularity, we determine the Poisson cohomology and homology of the two Poisson varieties obtained.Comment: 27 page

    Great Walls from Mao to Now: A Biographical Perspective on Adult Education Inside Chinese Communist Revolution

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    From 1921 onwards, adult education was a vital corollary of Chinese Communist revolution. In 1954 Yao Zhongda lived near Mao in the Zhongnanhai and became Chief of the Bureau of Workers’ and Peasants Education. He is now 86 years old. The purpose of this study was to capture his biography and reflect on what it means for 21st century China. Data was secured during a 10-day Beijing interview session. Yao is an outstanding figure in Chinese adult education and today’s scholar-officials could learn a lot from him

    Calculation of the spectrum of 12Li by using the multistep shell model method in the complex energy plane

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    The unbound nucleus 12^{12}Li is evaluated by using the multistep shell model in the complex energy plane assuming that the spectrum is determined by the motion of three neutrons outside the 9^9Li core. It is found that the ground state of this system consists of an antibound 1/2+1/2^+ state and that only this and a 1/2−1/2^- and a 5/2+5/2^+ excited states are physically meaningful resonances.Comment: 9 pages, 5 tables, 7 figures, printer-friendly versio

    Cell contraction induces long-ranged stress stiffening in the extracellular matrix

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    Animal cells in tissues are supported by biopolymer matrices, which typically exhibit highly nonlinear mechanical properties. While the linear elasticity of the matrix can significantly impact cell mechanics and functionality, it remains largely unknown how cells, in turn, affect the nonlinear mechanics of their surrounding matrix. Here we show that living contractile cells are able to generate a massive stiffness gradient in three distinct 3D extracellular matrix model systems: collagen, fibrin, and Matrigel. We decipher this remarkable behavior by introducing Nonlinear Stress Inference Microscopy (NSIM), a novel technique to infer stress fields in a 3D matrix from nonlinear microrheology measurement with optical tweezers. Using NSIM and simulations, we reveal a long-ranged propagation of cell-generated stresses resulting from local filament buckling. This slow decay of stress gives rise to the large spatial extent of the observed cell-induced matrix stiffness gradient, which could form a mechanism for mechanical communication between cells
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