Based on the observation that the moduli of parallel transports(link variable) on a cyclic group modify the metric on this group, we construct several action functionals for these parallel transports within the framework of noncommutative geometry. After solving the equations of motion, we find that one type of action can give nontrivial vacuum solutions for gravity on this cyclic group in a br...

the augmented gravity model was employed to determine iran's trading model and agricultural export directions in the case of cross section analysis in 2005 for 64 countries which are considered as iran's main export market. besides, another explanatory variable named trade conformity index (tci) was added to the model. this index was employed to identify iran's trading model. als...

We show that the introduction of triangulations with variable connectivity and fluctuating egde-lengths (Random Regge Triangulations) allows for a relatively simple and direct analyisis of the modular properties of 2 dimensional simplicial quantum gravity. In particular, we discuss in detail an explicit bijection between the space of possible random Regge triangulations (of given genus g and wi...

Aiming at the problem that segmented gesture by Kinect depth information usually contains wrist data, which easily causes subsequent false gesture recognition, a gesture segmentation and positioning algorithm based on improved depth information was proposed.Firstly, the gesture binary image was detected based on depth information threshold limit in experimental space.Secondly, according to char...

Geodynamic modeling is often related with challenging computations involving solution of the Stokes and continuity equations under the condition of highly variable viscosity. Based on a new analytical approach we have developed particular analytical solutions for 2-D and 3-D incompressible Stokes flows with both linearly and exponentially variable viscosity. We demonstrate how these particular ...

Previous work in the literature had built a formalism for spatially averaged equations for the scale factor, giving rise to an averaged Raychaudhuri equation and averaged Hamiltonian constraint, which involve a backreaction source term. The present paper extends these equations to include models with variable Newton parameter and variable cosmological term, motivated by the non perturbative ren...

The effects of density and food on remating were investigated using Drosophila melanogaster. The frequency of remating was unaffected by density for some combinations of fly strains but was reduced at low relative densities for other combinations. Until females had used most of their stored sperm, remating was less likely when food was absent or contact with food was prevented. Food availabilit...

We model the formation of lunar complex craters and investigate the effect of preimpact porosity on their gravity signatures. We find that while preimpact target porosities less than ~7% produce negative residual Bouguer anomalies (BAs), porosities greater than ~7% produce positive anomalies whose magnitude is greater for impacted surfaces with higher initial porosity. Negative anomalies result...

E-mail address: [email protected] ‡ E-mail address: [email protected] We study a black hole radiation inside the apparent horizon in quantum gravity. First we perform a canonical quantization for spherically symmetric geometry where one of the spatial coordinates is dealt as the time variable since we would like to consider the interior region of a black hole. Next this rat...

We develop a pore-scale model of wetting in a single fracture. A variable fracture aperture distribution is represented as a square lattice of conceptual pores connected by throats. We borrow concepts from network modeling of ̄ow in porous media to generate a fracture model that includes the e€ects of ̄ow in wetting layers, snap-o€, and cooperative piston-like advance. Cooperative ®lling accoun...