Let D(n, r) be a random r-out regular directed multigraph on the set of vertices {1, . . . , n}. In this work, we establish that for every r ≥ 2, there exists ηr > 0 such that diam(D(n, r)) = (1 + ηr + o(1)) logr n. Our techniques also allow us to bound some extremal quantities related to the stationary distribution of a simple random walk on D(n, r). In particular, we determine the asymptotic ...

We report the development of a double diffusion encoding (DDE) MRI method to estimate and map the axon diameter distribution (ADD) within an imaging volume. A variety of biological processes, ranging from development to disease and trauma, may lead to changes in the ADD in the central and peripheral nervous systems. Unlike previously proposed methods, this ADD experimental design and estimation...

To design complex networks to minimize traffic congestion, it is necessary to understand how traffic flow depends on network structure. We study data packet flow on complex networks, where the packet delivery capacity of each node is not fixed. The optimal configuration of capacities to minimize traffic congestion is derived and the critical packet generating rate is determined, below which the...

This work discusses the design and construction of a robot for moving in small diameter pipes (down to 57 mm inside diameter), capable of negotiating curves, diameter changes, sharp bends and T-joints, intended for (semi) autonomous inspection of gas distribution mains. A number of fundamental design changes and improvements will be shown with respect to earlier designs. The new design is fully...

Crown imperial scattered according to soil structure and organic matter in Zagros regions in Ilam. This plant has been performed an important role in the beautification of environment, tourist attraction and providing of plant essential oils which are used for the production of medicines. The current research was carried out to evaluation spatial distribution pattern of Fritillaria imperialis i...

this paper investigates the effect of different methods of carbon nanotubes distribution in a thin matrix on static and dynamic behavior of the nanocomposite. five different symmetric patterns of distribution are considered, including four parabolic patterns and a linear one. for each pattern, the effective mechanical properties of the resultant nanocomposite are calculated using the rule of mi...

The droplet size distribution in the column is usually represented as the average volume to surface area, known as the Sauter mean drop diameter. It is a key variable in the extraction column design. A study of the drop size distribution and Sauter-mean drop diameter for a liquid-liquid extraction column has been presented for a range of operating conditions and three different liquid-liquid sy...

To determine the factors influencing the distribution of β-amyloid (Aβ) deposits in Alzheimer’s disease (AD), the spatial patterns of the diffuse, primitive, and classic Aβ deposits were studied from the superior temporal gyrus (STG) to sector CA4 of the hippocampus in six sporadic cases of the disease. In cortical gyri and in the CA sectors of the hippocampus, the Aβ deposits were distributed ...

Distribution, population and reproductive biology of Uca sindensis were studied in a subtropical mangrove of Pohl port in the northern Persian Gulf. Sex ratio, distribution, population structure, handedness (evenness), diameter burrow, breeding season and fecundity were investigated. Ten 0.5 m2 quadrates were randomly sampled during low tide periods from October 2009 to September 2010.A total o...

A scalable and facile approach is demonstrated where as-grown patterns of well-aligned structures composed of single-walled carbon nanotubes (SWNT) synthesized via water-assisted chemical vapor deposition (CVD) can be transferred, or printed, to any host surface in a single dry, room-temperature step using the growth substrate as a stamp. We demonstrate compatibility of this process with multip...