This study explored the effect of porosity and installation angle, thickness (dimension) and second layer of permeable obstacles on density current control and trapping in the laboratory. For this purpose, an insoluble suspended polymer and two types of groove and cavity obstacles made from plexiglass sheets were selected. The experiments were conducted with two different concentrations, five d...

Granular flows are a complex process, involving wide range of grain sizes, materials, varied viscous fluids, among others. For this reason, the simulation granular requires certain level simplification, allowing isolated study its governing variables and extending global observations to field events. Here, we present planar setup as an alternative for studying simplified processes associated fl...

A symplectic toric orbifold is a compact connected orbifold M , a symplectic form ω on M , and an effective Hamiltonian action of a torus T on M , where the dimension of T is half the dimension of M . We prove that there is a one-to-one correspondence between symplectic toric orbifolds and convex rational simple polytopes with positive integers attached to each facet.

Dropping separatedness in the definition of a toric variety, one obtains the more general notion of a toric prevariety. Toric prevarieties occur as ambient spaces in algebraic geometry and moreover they appear naturally as intermediate steps in quotient constructions. We first provide a complete description of the category of toric prevarieties in terms of convex–geometrical data, so–called sys...

This is an expository article on “A mathematical theory of the topological vertex” by J. Li, K. Liu, J. Zhou, and the author.

nanotechnology has been shown to have promising roles in the development of various industries including the agricultural sector. the primary purpose of this study was to investigate the researchers’ attitude and the obstacle hampering the development of nanotechnology in the agricultural sector of iran. the population of this study consisted of researchers in national research centers/institut...

In [Kat94b], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is log regular. And, these schemes allow one to generalize toric geometry to a theory that does not require a base field. This paper will extend this theory by removing normality requirements.