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 ...

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 − ...

In this paper we introduce the cone bounded linear mapping and demonstrate a proof to show that the cone norm is continuous. Among other things, we prove the open mapping theorem and the closed graph theorem in TVS-cone normed spaces. We also show that under some restrictions on the cone, two cone norms are equivalent if and only if the topologies induced by them are the same. In the sequel, we...

We present a comprehensive electronic structure analysis of two BN isosteres of indole using a combined UV-photoelectron spectroscopy (UV-PES)/computational chemistry approach. Gas-phase He I photoelectron spectra of external BN indole I and fused BN indole II have been recorded, assessed by density functional theory calculations, and compared with natural indole. The first ionization energies ...

In this study, geometrical optimizations of Clonidine Drug were carried out with the HF/6-31g basissets .Then, drug was put covalently to carbon nanocone with (5, 1) structure and a length of 150A. Weuse chem Office software and hyper chem at the end data will be presented as tables and Figs.Simulation was done in MM+, AMBER and OPLS force fields by Monte Carlo method. Threeimportant energy par...

Stabilizations and atomic level quadrupole coupling constant (CQ) properties have been investigated for graphene–like monolayers (G–monolayers) of boron nitride (BN), boron phosphide (BP), aluminum nitride (AlN), and aluminum phosphide (AlP) structures. To this aim, density functional theory (DFT) calculations have been performed to optimize the model structures and also to evaluate the CQ para...