941 resultados para rational points
Resumo:
The North-South Economic Corridor (NSEC), the road between Bangkok and Kunming, China, including the Laos route (R3B) and the Myanmar route (R3B), has been developed since 1998 following the GMS program. The region covering Yunnan Province in China, Shan State in Myanmar, Northern Laos and Northern Thailand has historical and ethnic closeness, and is a comparatively poor mountainous, boundary area. In the wake of the development of the NSEC, however, the region has started to show signs of change. Consequently, a review is to be carried out concerning the movement of people and cars, border trade and the situation concerning the progress of border economic zones at the five nodal border points in the four countries, and over three routes: R3A, R3B, and the Mekong River route.
Resumo:
Let π : FM ! M be the bundle of linear frames of a manifold M. A basis Lijk , j < k, of diffeomorphism invariant Lagrangians on J1 (FM) was determined in [J. Muñoz Masqué, M. E. Rosado, Invariant variational problems on linear frame bundles, J. Phys. A35 (2002) 2013-2036]. The notion of a characteristic hypersurface for an arbitrary first-order PDE system on an ar- bitrary bred manifold π : P → M, is introduced and for the systems dened by the Euler-Lagrange equations of Lijk every hypersurface is shown to be characteristic. The Euler-Lagrange equations of the natural basis of Lagrangian densities Lijk on the bundle of linear frames of a manifold M which are invariant under diffeomorphisms, are shown to be an underdetermined PDEs systems such that every hypersurface of M is characteristic for such equations. This explains why these systems cannot be written in the Cauchy-Kowaleska form, although they are known to be formally integrable by using the tools of geometric theory of partial differential equations, see [J. Muñoz Masqué, M. E. Rosado, Integrability of the eld equations of invariant variational problems on linear frame bundles, J. Geom. Phys. 49 (2004), 119-155]