In recent years a number of methods have been developed for subdividing the surface of the earth to meet the needs of applications in dynamic modeling, survey sampling, and information storage and display. One set of methods uses the surfaces of Platonic solids, or regular polyhedra, as approximations to the surface of the earth. Diamond partitions are similar to recursive subdivisions of the t...

background: this study was conducted to detect clusters of pulmonary tb cases in hamadan province, west of iran. methods: all patients with pulmonary tuberculosis recorded in the surveillance system from 2005 to 2013 were studied. the spatial scan statistic was used to detect significant clusters in status of unadjusted and adjusted for age, sex and location residence variables. results: cluste...

Synthetic DNA is a highly programmable nanoscale material that can be designed to self-assemble into 3D structures that are fully determined by underlying Watson-Crick base pairing. The double crossover (DX) design motif has demonstrated versatility in synthesizing arbitrary DNA nanoparticles on the 5-100 nm scale for diverse applications in biotechnology. Prior computational investigations of ...

The notion of a competition graph was introduced by J. E. Cohen in 1968. The competition graph C(D) of a digraph D is a (simple undirected) graph which has the same vertex set as D and has an edge between two distinct vertices x and y if and only if there exists a vertex v in D such that (x, v) and (y, v) are arcs of D. For any graph G, G together with sufficiently many new isolated vertices is...

Biliary excretion of cadmium was studied in two groups of five rats which were given repeated injections of 109Cd. The first group was given a total amount of 6 mg Cd/kg which was 6 times as much as the second group. The elimination of cadmium in bile, urine, and feces was measured 4 to 5 weeks after the last injection. The relative biliary excretion of cadmium was the same in both groupetion, ...

Clusters are geographically close groups of related companies or institutions related to a certain area which are inherently more efficient than the other companies due to advantages such as being located in one place, networks, external knowledge, variability of human capital, etc. Today, development through clusters plays a pivotal role in the economic and industrial policies of developed...

In a recent paper, for “large” (but otherwise unspecified) subsets A,B, C,D of Fq, Gyarmati and Sárközy (2008) showed the solvability of the equations a + b = cd, and ab + 1 = cd with a ∈ A, b ∈ B, c ∈ C, d ∈ D. They asked whether one can extend these results to every k ∈ N in the following way: for large subsets A,B, C,D of Fq, there are a1, . . . , ak, a1, . . . , ak ∈ A, b1, . . . , bk, b1, ...