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    The development of technology for the electrodeposition of aluminum alloys and beryllium Final report

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    Technology development for electrodeposition of aluminum alloys and berylliu

    Cohomological characterization of vector bundles on multiprojective spaces

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    We show that Horrock's criterion for the splitting of vector bundles on \PP^n can be extended to vector bundles on multiprojective spaces and to smooth projective varieties with the weak CM property (see Definition 3.11). As a main tool we use the theory of nn-blocks and Beilinson's type spectral sequences. Cohomological characterizations of vector bundles are also showed

    Ulrich bundles on ruled surfaces

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    Growth-Driven Percolations: The Dynamics of Community Formation in Neuronal Systems

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    The quintessential property of neuronal systems is their intensive patterns of selective synaptic connections. The current work describes a physics-based approach to neuronal shape modeling and synthesis and its consideration for the simulation of neuronal development and the formation of neuronal communities. Starting from images of real neurons, geometrical measurements are obtained and used to construct probabilistic models which can be subsequently sampled in order to produce morphologically realistic neuronal cells. Such cells are progressively grown while monitoring their connections along time, which are analysed in terms of percolation concepts. However, unlike traditional percolation, the critical point is verified along the growth stages, not the density of cells, which remains constant throughout the neuronal growth dynamics. It is shown, through simulations, that growing beta cells tend to reach percolation sooner than the alpha counterparts with the same diameter. Also, the percolation becomes more abrupt for higher densities of cells, being markedly sharper for the beta cells.Comment: 8 pages, 10 figure
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