Doyen–Wilson theorem for perfect hexagon triple systems

The graph consisting of the three 3-cycles (or triples) (a,b,c), (c,d,e), and (e,f,a), where a,b,c,d,e and f are distinct is called a hexagon triple. The 3-cycle (a,c,e) is called an inside 3-cycle; and the 3-cycles (a,b,c), (c,d,e), and (e,f,a) are called outside 3-cycles. A hexagon triple system of order v is a pair (X,C), where C is a collection of edge disjoint hexagon triples which partitions the edge set of 3K_v. Note that the outside 3-cycles form a 3-fold triple system. If the hexagon triple system has the additional property that the collection of inside 3-cycles (a,c,e) is a Steiner triple system it is said to be perfect. In 2004, Küçükçifçi and Lindner had shown that there is a perfect hexagon triple system of order v if and only if and v≥7. In this paper, we investigate the existence of a perfect hexagon triple system with a given subsystem. We show that there exists a perfect hexagon triple system of order v with a perfect sub-hexagon triple system of order u if and only if v≥2u+1, and u≥7, which is a perfect hexagon triple system analogue of the Doyen–Wilson theorem.     

Si基Sc膜的制备及结构分析

采用电子束镀膜方法在Si基底上制备了Sc膜,利用XRD,SEM分析了不同镀膜工艺条件下制备的Sc膜的形貌和结构。结果表明：基底温度在350～550 ℃时,薄膜主要由单质Sc组成,而且随着基底温度的升高,膜的颗粒尺寸增大,膜也变得更加致密;基底温度提高至650 ℃时,膜全部由ScSi化合物组成,膜变成颗粒状结构。沉积速率对低温时Sc膜的形貌与结构的影响不明显,颗粒尺寸随沉积速率的增大而增大,但物相结构基本没有发生变化;而在高温650 ℃时,沉积速率对膜的形貌与结构产生了很大的影响,随着沉积速率的增大,膜表面出现了大量微裂纹,而且较低的沉积速率有利于获得衍射峰单一的膜,增大沉积速率将会导致衍射峰数量明显增加。     

经济学中的网络分析与网络的经济学研究—经济学框架与网络分析方法的视界融合及其评述

网络研究正成为经济学中最活跃、最引人注目的研究领域之一。在梳理经济学领域网络研究经典文献和前沿进展的过程中,可以发现,网络分析方法给经济学研究带来新的视角和新的工具;同时,经济学框架在研究网络形成问题时,相对于社会学范式和一般网络分析范式也具有优越性。在此基础上,须特别强调经济学研究框架与网络分析方法的视界融合,关注这种融合对微观冲击与宏观波动、市场势力与定价、市场竞争与效率、以及劳动市场不平等诸问题研究所产生的新观点和新发现。主流经济学研究框架与网络分析方法的融合,是“经济人”视界与“社会人”视界的融合,它扩展了我们观察和分析社会经济活动的维度,使我们的研究更现实、更具体、更深刻。     

Scheme to Implement Optimal Asymmetric Economical Phase-Covariant Quantum Cloning in Cavity QED

We propose an experimentally feasible scheme to implement the optimal asymmetric economical 1→2 phase-covariant quantum cloning in two dimensions based on the cavity QED technique. The protocol is very simple and only two atoms are required. Our scheme is insensitive to the cavity field states and cavity decay. During the processes, the cavity is only virtually excited and it thus greatly prolongs the efficient decoherent time. Therefore, it may be realized in experiment.     

多壁碳纳米管诱导A549细胞氧化应激与去极化线粒体膜电位

以人肺上皮细胞系A549为模型细胞, 探讨多壁碳纳米管的细胞毒性效应及其机制. A549细胞暴露于不同浓度(0~300 μg/mL)的多壁碳纳米管后, 用MTT比色法检测细胞活力和Hoechst 33342染色法观察细胞形态; 用活性氧(ROS)敏感探针2',7'-二氯荧光素二乙酸酯(DCFH-DA)结合流式细胞仪检测细胞内ROS水平; 用荧光探针JC-1结合激光共聚焦显微镜检测细胞线粒体膜电位ΔΨm的变化; 用免疫荧光和蛋白印迹法检测细胞氧化应激敏感蛋白血红素氧合酶-1(HO-1)的表达水平. 结果表明, 多壁碳纳米管可引起A549细胞活性降低、细胞内活性氧ROS过量产生以及谷胱甘肽GSH含量下降, 诱导细胞氧化应激效应; 抗氧化剂N-乙酰半胱氨酸(NAC)抑制多壁碳纳米管诱导的A549细胞内ROS的产生. 多壁碳纳米管处理A549细胞2 h后, 诱发细胞线粒体膜电位下降; 多壁碳纳米管诱导细胞氧化应激的同时伴有适应性应激蛋白HO-1的上调表达. 结果表明, 细胞氧化应激和线粒体膜电位去极化可能是多壁碳纳米管诱导A549细胞毒性效应的重要机制.     

A Simplified Linearized Lattice Boltzmann Method for Acoustic Propagation Simulation

A simplified linearized lattice Boltzmann method (SLLBM) suitable for the simulation of acoustic waves propagation in fluids was proposed herein. Through Chapman–Enskog expansion analysis, the linearized lattice Boltzmann equation (LLBE) was first recovered to linearized macroscopic equations. Then, using the fractional-step calculation technique, the solution of these linearized equations was divided into two steps: a predictor step and corrector step. Next, the evolution of the perturbation distribution function was transformed into the evolution of the perturbation equilibrium distribution function using second-order interpolation approximation of the latter at other positions and times to represent the nonequilibrium part of the former; additionally, the calculation formulas of SLLBM were deduced. SLLBM inherits the advantages of the linearized lattice Boltzmann method (LLBM), calculating acoustic disturbance and the mean flow separately so that macroscopic variables of the mean flow do not affect the calculation of acoustic disturbance. At the same time, it has other advantages: the calculation process is simpler, and the cost of computing memory is reduced. In addition, to simulate the acoustic scattering problem caused by the acoustic waves encountering objects, the immersed boundary method (IBM) and SLLBM were further combined so that the method can simulate the influence of complex geometries. Several cases were used to validate the feasibility of SLLBM for simulation of acoustic wave propagation under the mean flow.     

马赫杆加载下无氧铜的动态破碎

为了深入了解金属材料在复杂加载下的动态破碎行为,在有限元模拟的基础上,设计了两类马赫杆加载实验,用于研究无氧铜在复杂加载下的动态破碎行为。实验中,采用火炮加载马赫透镜和激光粒子速度干涉仪测量自由面速度,实现了峰值压力分别为95.75和32.38 GPa的动态加载。结果表明,实验中成功实现了稳定的马赫杆加载,并且观察到马赫杆加载下无氧铜的2种不同近表面破碎模式,即高压下产生微层裂、低压下产生三角波层裂,且层裂区呈凸形分布。

     

非水毛细管电泳法区分蓝色圆珠笔油墨的研究

建立了一种基于非水毛细管电泳法区分蓝色圆珠笔油墨的方法.确定了笔迹中碱性染料(结晶紫、甲基紫、碱性品蓝、罗丹明6G、碱性艳蓝B和碱性艳蓝BO)的分离条件:缓冲溶液为1.00 mmol/L醋酸-100 mmol/L醋酸铵的甲醇-水(体积比90 ∶ 10)体系,分离电压和温度分别为25 kV和25 ℃,检测波长为214 nm.通过该方法分析了96支蓝色圆珠笔中的油墨,并依据油墨中所含的染料种类对圆珠笔进行分类,同一类笔又通过聚类分析计量学方法再次进行区分.该法重复性好,结果准确可靠,为圆珠笔字迹鉴定提供了一种科学的方法.     

Electromagnetic Properties of YIG Polycrystalline Ceramics Fabricated by Tape-casting Method

Pure phase Y_3Fe_5O_(12) (YIG) ceramic was successfully produced by tape-casting forming process and one-step solid-state sintering method.The activation energy for densification was calculated to be 183.81 kJ/mol.Pure YIG ceramic with a relative density as high as 99.8%was fabricated.The existence of O vacancy and Fe~(2+)ions was determined by XPS and EPR spectra.The RT saturation magnetization was measured to be 28.2 emu/g,and the hysteresis loss was calculated to be smaller than 10 mJ/kg in the temperature range of 230～360 K and be as high as238.8 mJ/kg at 30 K.The dielectric loss tangent tan was nearly zero at 6～7 GHz and 11～12 GHz.For complex permeability in the frequency range of 5～18 GHz,the magnetic loss tangent tan fluctuated at around zero.Therefore,the low values of tan and tan indicate that it is a low loss ceramic material.