a comprehensive mathematical model based on the discrete particle model and computational fluid dynamics was utilized to investigate mixing and segregation of particles in fluidized beds at high pressure. to quantify the extent of mixing in the bed, the lacey mixing index was used. simulations were carried out with different mass fractions of small particles at various pressures ranging from 1 ...

in this paper, the maximal dissipative extensions of a symmetric singular 1d discrete hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the hilbert space ℓ_{ω}²(z;c²) (z:={0,±1,±2,...}) are considered. we consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. for each of these cases we establish a self...

rock slope stability depends very much on the strength features of the rock and the geometrical and strength characteristics of the discontinuities (e.g., roughness, wall strength and persistence). since a rock mass is not a continuum, its behavior is dominated by such discontinuities as faults, joints and bedding planes. also, rock slope instability is a major hazard for human activities and o...

background: health workforce shortages in rural and remote areas are a global challenge that almost every health system has to deal with. this study aimed to discover neurosurgeons’ job preferences and propose policy interventions that could possibly increase their retention in rural, remote, or underserved areas. methods: a discrete choice experiment (dce) was conducted in november 2014 with a...

Liouville first passage percolation (LFPP) with parameter $\xi >0$ is the family of random distance functions ${D\_h^\epsilon}{\epsilon >0}$ on plane obtained by integrating $e^{\xi h\epsilon}$ along paths, where $h\_\epsilon$ for $\epsilon a smooth mollification planar Gaussian free field. Previous work Ding–Dubédat–Dunlap–Falconet and Gwynne–Miller has shown that there critical value $\xi\_{\...

In this paper, we show that every element of a discrete module is a sum of two units if and only if its endomorphism ring has no factor ring isomorphic to $Z_{2}$. We also characterize unit sum number equal to two for the endomorphism ring of quasi-discrete modules with finite exchange property.

Microtubules (MTs) are protein filaments that provide structure to the cytoskeleton of cells and a platform for the movement of intracellular substances. The spatial organization of MTs is crucial for a cell's form and function. MTs interact with a class of proteins called motor proteins that can transport and position individual filaments, thus contributing to overall organization. In this pap...