In this work we study discrete analogues of an exact sequence vector bundles introduced by M. Atiyah in 1957, associated to any smooth principal $G$-bundle $\pi:Q\rightarrow Q/G$. the original setting, splittings correspond connections on bundle $\pi$. The that consider here can be studied two different categories: category fiber with a (chosen) section, FBS, and local Lie groupoids, lLgpdC. FB...

this paper presents the application of radial basis neural networks to the development of a novel method for the condition monitoring and fault diagnosis of synchronous generators. in the proposed scheme, flux linkage analysis is used to reach a decision. probabilistic neural network (pnn) and discrete wavelet transform (dwt) are used in design of fault diagnosis system. pnn as main part of thi...