995 resultados para Euler, Leonhard, 1707-1783.
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Collection : Le Livre du Divan
Resumo:
Collection : Le Livre du Divan
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In this paper we prove that there are only two different classes of central configura- tions with convenient masses located at the vertices of two nested regular tetrahedra: either when one of the tetrahedra is a homothecy of the other one, or when one of the tetrahedra is a homothecy followed by a rotation of Euler angles = = 0 and = of the other one. We also analyze the central configurations with convenient masses located at the vertices of three nested regular tetrahedra when one them is a homothecy of the other one, and the third one is a homothecy followed by a rotation of Euler angles = = 0 and = of the other two. In all these cases we have assumed that the masses on each tetrahedron are equal but masses on different tetrahedra could be different.
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From the point of view of uniform bounds for the birationality of pluricanonical maps, irregular varieties of general type and maximal Albanese dimension behave similarly to curves. In fact Chen-Hacon showed that, at least when their holomorphic Euler characteristic is positive, the tricanonical map of such varieties is always birational. In this paper we study the bicanonical map. We consider the natural subclass of varieties of maximal Albanese dimension formed by primitive varieties of Albanese general type. We prove that the only such varieties with non-birational bicanonical map are the natural higher-dimensional generalization to this context of curves of genus $2$: varieties birationally equivalent to the theta-divisor of an indecomposable principally polarized abelian variety. The proof is based on the (generalized) Fourier-Mukai transform.
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A discussion on the importance and pathogenesis of radiation-induced pneumonitis and fibrosis is provided, with a special focus on the role of the immune system. The need to understand this interaction is highlighted in view of emerging therapeutic potential.
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Host resistance to Leishmania major is highly dependent on the development of a Th1 immune response. The TLR adaptator myeloid differentiation protein 88 (MyD88) has been implicated in the Th1 immune response associated with the resistant phenotype observed in C57BL/6 mice after infection with L. major. To investigate whether the MyD88 pathway is differentially used by distinct substrains of parasites, MyD88(-/-) C57BL/6 mice were infected with two substrains of L. major, namely L. major LV39 and L. major IR75. MyD88(-/-) mice were susceptible to both substrains of L. major, although with different kinetics of infection. The mechanisms involved during the immune response associated with susceptibility of MyD88(-/-) mice to L. major is however, parasite substrain-dependent. Susceptibility of MyD88(-/-) mice infected with L. major IR75 is a consequence of Th2 immune-deviation, whereas susceptibility of MyD88(-/-) mice to infection with L. major LV39 resulted from an impaired Th1 response. Depletion of regulatory T cells (Treg) partially restored IFN-gamma secretion and the Th1 immune response in MyD88(-/-) mice infected with L. major LV39, demonstrating a role of Treg activity in the development of an impaired Th1 response in these mice.