若干运算图的倍乘赋权Harary指标

ALIZADEH等近期提出了一个修正的Harary指标,即顶点对的贡献被赋予其度的乘积.其指标被称为倍乘赋权Harary指标,定义为H_M（G）=Σ_u≠v（δ_G（u）δ_G（v））（d_G（u,v））,其中,δ_G（u）表示顶点u在图G中的度,d_G（u,v）表示2个顶点u和v在图G中的距离.给出了张量积G×K_r,强积GK_r,圈积G₁oG₂的倍乘赋权Harary指标值的精确计算公式,这些公式与图的其他不变量（如倍加赋权Harary指标、Harary指标、第1类和第2类Zagreb指标、第1类和第2类反Zagreb指标）有关.此外,利用所得结果计算了开栅栏与闭栅栏的倍乘赋权Harary指标.     

X射线背光成像的实现

为了实现对惯性约束聚变的诊断,获取聚爆过程中高温等离子体X射线能谱信息和内爆靶丸的二维空间分辨信息,利用晶体的布拉格衍射特性设计制作了球面晶体分析器,晶体弯曲半径为125 mm。为了验证球面晶体的空间分辨能力,搭建了背光成像平台进行了背光成像实验,石英球面晶体为衍射核心元件,接收装置IP板得到了Cu靶的二维空间分辨信息,基于石英球面晶体的成像平台得到的空间分辨率约为100 μm。     

B、N掺杂对钠在石墨烯上吸附性能的影响

采用基于密度泛函理论的第一性原理方法,研究了本征石墨烯及缺陷石墨烯对Na原子的吸附行为.主要研究了三种石墨烯:本征石墨烯、B掺杂的石墨烯和N掺杂的石墨烯.结果表明,与本征石墨烯相比,B掺杂的石墨烯和N掺杂的石墨烯在吸附能、电荷密度、态密度和储钠量方面表现出很大的差异.B掺杂的石墨烯对Na原子的吸附能是-1.93 e V,约为本征石墨烯对Na原子吸附能的2.7倍;与本征石墨烯相比,N掺杂的石墨烯对Na原子的吸附能明显增大.态密度计算结果表明,Na原子与B掺杂的石墨烯中的B原子发生轨道杂化,而本征石墨烯和N掺杂的石墨烯中不存在轨道杂化现象.B掺杂的石墨烯对Na原子的吸附量是3个,与本征石墨烯相比显著提高.因此,B掺杂的石墨烯有望成为一种新型的储钠材料.     

Synthesis, Crystal Structure and Fluorescence Property of a Binuclear Zn(II) Complex: [Zn2(μ-N3)2(N3)2(L)2] [L?=?1-(1,10-phenanthrolin-2-yl)-2-pyridone]

Abstract  Hydrated zinc perchlorate reacted with sodium azide and 1-(1,10-phenanthrolin-2-yl)-2-pyridone (L) in methanol solution and resulted in the formation of a new binuclear complex: [Zn₂(μ-N₃)₂(N₃)₂(L)₂]. The complex has been characterized by elemental analysis and IR spectrum, and its crystal structure determined by X-ray crystallography and the complex crystallizes in the monoclinic system with space group P2₁/c and a = 11.409(2), b = 8.0733(15), c = 18.163(3) Ǻ, β = 99.095(3)°. In the complex two azide anions act as bridge ligand and another two azide anion and two 1-(1,10-phenanthrolin-2-yl)-2-pyridone function as terminal ligands, and Zn(II) ion lies in a distorted triangle bipyramid geometry. Index Abstract  The title binuclear Zn(II) complex was synthesized by zinc perchlorate, sodium azide and 1-(1,10-phenanthrolin-2-yl)-2-pyridone and its crystal structure determined. Single crystal X-ray diffraction analysis reveals that azide anion function as both bridge ligand and terminal ligand, and 1-(1,10-phenanthrolin-2-yl)-2-pyridone only acts as a terminal ligand.      

基于模糊逻辑的红外相机模拟器定量化仿真度评价框架

针对红外相机模拟器仿真度量化评价体系的现状,提出了一种基于模糊逻辑和模糊集思想的全新的理论框架.该框架是一种客观的、多尺度的评价体系,涉及到模糊逻辑、曲线相似度评价、图像质量评估以及信息论等多个交叉领域.和现有的单一尺度的评价方法相比,这种多尺度的仿真度评价分析系统综合考虑了成像系统的主要性能特性参量和系统输出图像的质量,具有更好的任务适应性,可以方便地量化和比较具有相同或相似需求的相机模拟器的仿真度结果.     

Broadband and high efficiency terahertz metasurfaces for anomalous refraction and vortex beam generation

The applications of metasurfaces are currently a highly active research field due to their extraordinary ability to manipulate electromagnetic waves. The ultra-thin characteristics of metasurfaces allow the miniaturization and integration of metasurface devices. However, these devices work typically under a low efficiency and narrow bandwidth condition. In this work, we design eight multilayered unit cells with similar amplitudes and a phase interval of π/4, which convert the polarization states of the terahertz (THz) waves between two orthogonal directions. The average cross-polarized transmission amplitudes of these cells are all around 0.9 in an ultra-broad frequency range from 0.5 THz to 1.4 THz. Furthermore, unit cells are used to construct both an ultra-thin anomalous refraction metalens and a vortex phase plate. Our simulation results show that the anomalous refraction for the transmitted linear polarization component is comparable to the theoretical prediction, and the maximum error is determined to be below 4.8%. The vortex phase plate can also generate an ideal terahertz vortex beam with a mode purity of 90% and more. The distributions of longitudinal electric field, intensity, and phase illustrate that the generated vortex beam has excellent propagation characteristics and a weak divergence. Simulations of the two types of metasurface devices, based on the eight unit cells, exhibit very high efficiencies in a wide bandwidth. Our research will assist in the improvement in the practical applications of metasurfaces. It also provides a reference for the design of high efficiency and broadband devices that are applied to other frequency ranges.     

Delay-dependent stability analysis and \mathcal {H}_{\infty } control for LPV systems with parameter-varying state delays

This paper develops the stability analysis and delay-dependent \(\mathcal {H}_{\infty }\) control synthesis for linear parameter-varying (LPV) systems with time-varying state delays. On the basis of the Finsler’s lemma, sufficient conditions on \(\mathcal {H}_{\infty }\) performance analysis are formulated in terms of parameterized linear matrix inequalities. The interesting annihilator matrix is constituted by time-varying parameters of LPV systems to reduce the conservatism. A numerical example is presented to confirm the efficiency of the proposed method.     

Partially linear single-index beta regression model and score test

An important model in handling the multivariate data is the partially linear single-index regression model with a very flexible distribution—beta distribution, which is commonly used to model data restricted to some open intervals on the line. In this paper, the score test is extended to the partially linear single-index beta regression model. The penalized likelihood estimation based on P-spline is proposed. Based on the estimation, the score test statistics about varying dispersion parameter is given. Its asymptotical property is investigated. Both simulated examples are used to illustrate our proposed methods.     

EXISTENCE OF SOLUTIONS TO 2m-ORDER PERIODIC BOUNDARY VALUE PROBLEM

In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions.     

一类反向混合单调算子方程解的存在唯一性定理

运用锥与半序理论和非对称迭代方法,讨论Banach空间一类反向混合单调算子方程解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果改进和推广了某些已有结果.