A generalization of the circular and hyperbolic functions is proposed, based on the Tsallis statistics and on a consistent generalization of the Euler formula. Some properties of the presently proposed q-trigonometry are ...

We talk in this work about non-Euclidean geometries, emphasizing in the plane the Poincaré disk model and, in three dimensions, the spherical geometry. In this geometry, we determined some important results, such as the ...

This paper aims to present the formulation as of Finite Element Method, carried out via Weighted Residuals Method, for the solution of convection-diffusion problems. This work peculiarity is the usage of three types of ...

En este trabajo estudiamos la geometría del plano hiperbólico siguiendo un esquema axiomático similar al de la geometría euclídea. Ambas geometrías coinciden en sus bases, salvo por reemplazar el Axioma de las paralelas o ...

Our work, about the foundations of Hyperbolic Geometry, presents the historical development of this geometry from the controversy around the fifth postulate of Euclid. It will also be treated the Hilbert axiomatic and some ...