In this paper we introduce a class of partially ordered sets, called differential posets, with many remarkable combinatorial and algebraic properties. (Terminology from lattice theory and the theory of partially ordered sets not explained here may be found in [St6].) The combinatorial properties of differential posets are concerned with the counting of saturated chains Xl < x2 < ... < x k or of...

Passivation of defects in halide perovskite using phosphine oxide or alkyl-phosphonate has recently obtained a few remarkable achievements. However, effective application alky-phosphonate passivating quantum dots (QDs) are seldom reported due to solubility issue difficulty amount control. In this work, two bifunctional organic molecules containing groups, 2,4,6-Tris[3-(diphenylphosphinyl)phenyl...

The importance of erythropoietin as a regulator of erythropoiesis is undeniable, but that it is the sole regulator is controversial. Fried, Plzak, Jacobson, and Goldwasser (1) proposed a simple, unified concept for the regulation of red cell production. They suggested that the relationship of oxygen supply to demand governs the production of erythropoietin, which, in turn, through differentiati...

Microbial degradation of the chiral 2-phenylbutyric acid (2-PBA), a metabolite of surfactant linear alkylbenzene sulfonates (LAS), was investigated using both racemic and enantiomer-pure compounds together with quantitative stereoselective analyses. A pure culture of bacteria, identified as Xanthobacter flavus strain PA1 isolated from the mangrove sediment of Hong Kong Mai Po Nature Reserve, wa...

Clarifying the relation between whole and its parts is crucial for many problems in science. In quantum mechanics, this question manifests itself marginal problem, which asks whether there a global pure state some given marginals. This problem arises contexts, ranging from chemistry to entanglement theory error correcting codes. paper, we prove correspondence of separability problem. Based on t...