Denote by B∗ n the set of all k∗-cycle resonant hexagonal chains with n hexagons. For any Bn ∈ B ∗ n , let m(Bn) and i(Bn) be the numbers of matchings (=the Hosoya index) and the number of independent sets (=the Merrifield-Simmons index) of Bn, respectively. In this paper, we give a characterization of the k∗-cycle resonant hexagonal chains, and show that for any Bn ∈ B ∗ n , m(Hn) ≤ m(Bn) and ...

Advanced ceramics are required in many applications including armor, engine components, and wear parts for abrasive, corrosive, high temperature environments. Heterogeneous structuring these materials has the potential to unlock extrinsic mechanisms that improve damage tolerance, of vital importance structural functionality. However, traditional ceramic powder processing forming techniques limi...

Mechanical property and impact resistance mechanism of bionic layered composite was investigated. Due to light weight and high strength property, white clam shell was chosen as bionic model for design of bionic layered composite. The intercoupling model between hard layer and soft layer was identical to the layered microstructure and hardness tendency of the white clam shell, which connected th...

Periodic multilayers are nowadays widely used to perform x-ray analysis in the soft x-ray range (photon energy lower than 1 keV). However, they do not permit to obtain highresolution spectra like natural or synthetic crystals. Thus, multilayers cannot resolve interferences between close x-ray lines. It has been shown and demonstrated experimentally that patterning a grating profile within a mul...

The objective of this study was to determine a classification system for BN in incarcerated groin hernia patients and to explore the possible relationship between BN staging and patient outcomes. Incarcerated groin hernia patients treated with emergency bowel resection from January 2008 to December 2013 were screened for inclusion in a prospective study. A novel three-stage classification syste...

Let Ej be the eigenvalues outside [−2, 2] of a Jacobi matrix with an − 1 ∈ ` and bn → 0, and μ′ the density of the a.c. part of the spectral measure for the vector δ1. We show that if bn / ∈ `, bn+1 − bn ∈ `, then ∑ j (|Ej | − 2) = ∞, and if bn ∈ `, bn+1 − bn / ∈ `, then ∫ 2 −2 ln(μ′(x))(4− x) dx = −∞. We also show that if an − 1, bn ∈ `, then the above integral is finite if and only if an+1 − ...

Epoxy resin is one of the most widely used thermosetting polymers and commonly applied in power electronics field. The intrinsic properties epoxy can be improved by introduction inorganic filler, thus fabricating a composite material. In this paper, different scales modified boron nitride (BN, 1 ?m, 10 ?m) were to improve thermal conductivity resin. surfaces BN modification silane coupling agen...

Coating technology is decisively important for metallization of ceramic materials and metal sealing technology. Previous studies have shown that the network-like structure after penetration molten aluminum can significantly improve strength joint components. However, direct coating method limited by shape substrate. To obtain a dense film on surface B4C, in this study, was deposited pulse elect...

The existence of Single-wall C-nanocones (SWNCs), especially nanohorns (SWNHs) and BC2N/Boron Nitride (BN) analogues is discussed in organic solvents in cluster form. A theory is developed based on the bundlet model, describing distribution function by size. The phenomena present unified explanation in the model, in which free energy of (BC2N/BN-)SWNCs involved in cluster, is combined from two ...