We report high-resolution transmission electron microscopy (HRTEM) observation of a high density of dislocations with edge components (;10 m ) in nanocrystalline (NC) body-centered cubic (bcc) Mo prepared by high-pressure torsion. We also observed for the first time of the 1⁄2,111. and,001. pure edge dislocations in NC Mo. Crystallographic analysis and image simulations reveal that the best way...

In a recent study we have obtained correction terms to the large N asymptotic expansions of the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random N × N matrices, both in the bulk and at the soft edge of the spectrum. In the present study these results are used to similarly analyze the eigenvalue density for Gaussian and Laguerre random matrix ensembles with or...

The lithium beam diagnostic at COMPASS is designed for measurements of the edge plasma density profile and fluctuations and edge plasma current fluctuations. The principle of the diagnostic is detection of light coming from collisionally excited Li atoms — beam emission spectroscopy (BES) and a direct detection of the ionized part of the beam (atomic beam probe — ABP). For slow density measurem...

We study the asymptotics of large directed graphs, constrained to have certain densities of edges and/or outward p-stars. Our models are close cousins of exponential random graph models, in which edges and certain other subgraph densities are controlled by parameters. We find that large graphs have either uniform or bipodal structure. When edge density (resp. p-star density) is fixed and p-star...

Variation in microstructural features of 2024 aluminum alloy plastically deformed by equal channel angular pressing (ECAP) at room temperature, was investigated by X-Ray diffraction in this work. These include dislocation density dislocation characteristic and the cell size of crystalline domains. Dislocations contrast factor was calculated using elastic constants of the alloy such as C 11, C 2...

It is proved that every graph with edge density at least d + k and sufficiently many vertices contains a k-connected subgraph on at least t (t ≥ k+1) vertices, or s pairwise disjoint subgraphs with edge density at least d. By a classical result of Mader [11] this implies that every graph with edge density at least 3k and sufficiently many vertices contains a k-connected subgraph with at least r...

‎let $g$ be a graph and $chi^{prime}_{aa}(g)$ denotes the minimum number of colors required for an‎ ‎acyclic edge coloring of $g$ in which no two adjacent vertices are incident to edges colored with the same set of colors‎. ‎we prove a general bound for $chi^{prime}_{aa}(gsquare h)$ for any two graphs $g$ and $h$‎. ‎we also determine‎ ‎exact value of this parameter for the cartesian product of ...

Graph may be useful to analysis density of trabecula. Properties of graph can be used to measure density of edge. We generate random graph with erdos royi methods by dentals x-ray. Each pixel of bone presented as isolate edge. We found feature space of degree and cluster coefficient most accurate better than histogram of degree and cluster coefficient

We studied experimentally and theoretically the electronic local density of states (LDOS) near single step edges at the surface of exfoliated graphite. In scanning tunneling microscopy measurements, we observed the ( √ 3 × √ 3)R30◦ and honeycomb superstructures both extending over 3−4 nm either from the zigzag or armchair edge. Calculations based on a density-functional derived nonorthogonal ti...

oxide nanoparticles can exhibit unique physical and chemical properties due to their limited size and a high density of corner or edge surface sites. in this study, mgo nanoparticle was synthesized using mg(ch3coo)2 and hexamethylenetetramine as starting materials. the structure and optical properties of these particles are investigated by using x-ray diffraction (xrd), scanning electron micros...