A generalized modular relation of the form $$F(z, w, \alpha )=F(z, iw,\beta )$$ , where $$\alpha \beta =1$$ and $$i=\sqrt{-1}$$ is obtained in course evaluating an integral involving Riemann $$\Xi $$ -function. This involves a surprising new generalization Hurwitz zeta function $$\zeta (s, a)$$ which we denote by _w(s, . We show that satisfies beautiful theory generalizing In particular, it sho...

‎In this paper‎, ‎we introduce the structure of a groupoid associated to a vector field‎ ‎on a smooth manifold‎. ‎We show that in the case of the $1$-dimensional manifolds‎, ‎our‎ ‎groupoid has a‎ ‎smooth structure such that makes it into a Lie groupoid‎. ‎Using this approach‎, ‎we associated to‎ ‎every vector field an equivalence‎ ‎relation on the Lie algebra of all vector fields on the smooth...

relation de discours, structure du discours discourse relation, discourse structure Résumé-Abstract Dans cet article, nous réexaminons la nature de la relation d'Arrière-Plan de la SDRT du point de vue de la structure du discours. Nous exploitons la méthodologie développée dans (Asher & Vieu, to appear) pour déterminer la nature subordonnante ou coordonnante de cette relation de discours. In th...

Orthogonal zero interpolants (OZI) are polynomials which interpolate the “zero-function” at a finite number of pre-assigned nodes and satisfy orthogonality condition. OZI’s can be constructed by the 3-term recurrence relation. These interpolants are found useful in the solution of constrained approximation problems and in the structure of Gauss-type quadrature rules. We present some theoretical...

In this paper, the effective parameters on the ductility demand of the seismically base isolated structure are investigated, and then a relation between the strength reduction factor and the target ductility is presented. The investigation has been conducted by modelling the base isolated structure as a two degree of freedom model in the OpenSees software, and the possibility of yielding in the...