Intermolecular H-bonding between organic cations results in the highly rigid geometry of 2D layered halide perovskites leading to reduced octahedral distortion and inorganic layer separation. This improves optoelectronic property materials.

A separated cell A of a topological space X is a family of pairwise disjoint open sets with the property that, for any partition A= A1 ∪ A2 of A, ⋃ A1 and ⋃ A2 are completely separated. The separated cellularity sc(X) of X is the supremum of all cardinals of separated cells. A space X has finite separation if it has no infinite separated cells. With X compact, every separated cell of X has size...

Oil-water separation has recently become a global challenging task because of the frequent occurrence of oil spill accidents due to the offshore oil production and transportation, and there is an increasing demand for the development of effective and inexpensive approaches for the cleaning-up of the oily pollution in water system. In this study, a self-cleaning underwater superoleophobic mesh t...

In this paper, the equivalence of multifractal centered Hausdorff measure and packing is investigated. Furthermore, for Moran sets satisfying strong separation condition, mutual measures discussed. A concrete example fractal above property developed.

In our recent paper, we proposed a data-driven time-frequency analysis method. We also presented convincing numerical evidence to demonstrate the effectiveness of our method. Convergence analysis has been also carried out for periodic signals that satisfy certain scale separation property. In this paper, we propose an improved time-frequency analysis method that can be used to decompose signals...

In 1944, E. Post proposed a program that would lead to the identi cation of separate degrees equivalence classes de ned by reductions of recursively enumerable sets. Post proposed to identify structural properties that sets of di erent degrees would not share. Thus proving that some sets in one degree have such a property, and all sets in another degree do not have the property would imply that...

A complemented modular lattice L is coordinatizable, if it is isomorphic to the lattice L(R) of principal right ideals of some von Neumann regular ring R. All known sufficient conditions for coordinatizability, due first to J. von Neumann, then to B. Jónsson, are first-order. Nevertheless, we prove that coordinatizability of complemented modular lattices is not firstorder, even for countable 2-...

Convex analysis” is developed for functions defined on integer lattice points. We investigate the class of functions which enjoy a variant of Steinitz’s exchange property. It includes linear functions on matroids, valuations on matroids (in the sense of Dress and Wenzel), and separable concave functions on the integral base polytope of submodular systems. It is shown that a function ω has the S...