we prove that the limit of a sequence of pettis integrable bounded scalarly measurable weak random elements, of finite weak norm, with values in the dual of a non-separable banach space is pettis integrable. then we provide basic properties for the pettis conditional expectation, and prove that it is continuous. calculus of pettis conditional expectations in general is very different from the c...

If we perform a non-trivial Dehn surgery on a hyperbolic knot in the 3-sphere, the result is usually a hyperbolic 3-manifold. However, there are exceptions: there are hyperbolic knots with surgeries that give lens spaces [1], small Seifert fiber spaces [2], [5], [7], [20], and toroidal manifolds, that is, manifolds containing (embedded) incompressible tori [6], [7]. In particular, Eudave-Muñoz ...

Citations management is an important task in managing digital libraries. Citations provide valuable information e.g., used in evaluating an author's influences or scholarly quality (the impact factor of research journals). But although a reliable and effective autonomous citation management is essential, manual citation management can be extremely costly. Automatic citation mining on the other ...

In this work, a non-integer order Airy equation involving Liouville differential operator is considered. Proposing an undetermined integral solution to the left fractional Airy differential equation, we utilize some basic fractional calculus tools to clarify the closed form. A similar suggestion to the right FADE, converts it into an equation in the Laplace domain. An illustration t...

Empirical analysis results about the possible causes leading to non-citation may help increase the potential of researchers’ work to be cited and editorial staffs of journals to identify contributions with potential high quality. After complete literature retrieval from the Web of Science, Google Scholar, and Scopus databases, we find that very few studies focus on the empirical analysis of cau...

Abstract The citation graph is a computational artifact that widely used to represent the domain of published literature. It represents connections between works, such as citations and authorship. Among other things, supports computation bibliometric measures h-indexes impact factors. There now an increasing demand we should treat publication data in same way conventional publications. In parti...