Honeycomb-shaped, hierarchical porous structure is fabricated using the breath figure method. Different solvents are used to fabricate membranes with five different concentrations spin coating. The diameter of pores controlled by polymer concentration as well solvents. Using methanol an additive solvent a homogeneous film achieved. Furthermore, effect on titania nanoparticles shows how particle...

This note shows that the matrix forms of several one-parameter distribution families satisfy a hierarchical low-rank structure. Such distributions include binomial, Poisson, and $\chi^2$ distributions. The proof is based on uniform relative bound related divergence function. Numerical results are provided to confirm theoretical findings.