Markov skeleton process in PERT networks

In this article, we investigate Programming Evaluation and Review Technique networks with independently and generally distributed activity durations. For any path in this network, we select all the activities related to this path such that the completion time of the sub-network (only consisting of all the related activities) is equal to the completion time of this path. We use the elapsed time as the supplementary variables and model this sub-network as a Markov skeleton process, the state space is related to the sub-network structure. Then use the backward equation to compute the distribution of the sub-network's completion time, which is an important rule in project management and scheduling.     

Energy Decay for the Cauchy Problem of the Linear Wave Equation of Variable Coefficients with Dissipation

Decay of the energy for the Cauchy problem of the wave equation of variable coefficients with a dissipation is considered. It is shown that whether a dissipation can be localized near infinity depends on the curvature properties of a Riemannian metric given by the variable coefficients. In particular, some criteria on curvature of the Riemannian manifold for a dissipation to be localized are given.     

A two-level finite element method for the Navier–Stokes equations based on a new projection

We consider a fully discrete two-level approximation for the time-dependent Navier–Stokes equations in two dimension based on a time-dependent projection. By defining this new projection, the iteration between large and small eddy components can be reflected by its associated space splitting. Hence, we can get a weakly coupled system of large and small eddy components. This two-level method applies the finite element method in space and Crank–Nicolson scheme in time. Moreover,the analysis and some numerical examples are shown that the proposed two-level scheme can reach the same accuracy as the classical one-level Crank–Nicolson method with a very fine mesh size h by choosing a proper coarse mesh size H. However, the two-level method will involve much less work.     

Acyclic edge chromatic number of outerplanar graphs

A proper edge coloring of a graph G is called acyclic if there is no 2‐colored cycle in G. The acyclic edge chromatic number of G, denoted by χ(G), is the least number of colors in an acyclic edge coloring of G. In this paper, we determine completely the acyclic edge chromatic number of outerplanar graphs. The proof is constructive and supplies a polynomial time algorithm to acyclically color the edges of any outerplanar graph G using χ(G) colors. © 2009 Wiley Periodicals, Inc. J Graph Theory 64: 22–36, 2010     

Rheological Behaviors of Poly(Vinylidene Fluoride)/“Bud-Branched” Nanotubes Nanocomposites

Bud-branched nanotubes, fabricated by growing metal particles on the surfaces of multiwall carbon nanotubes (MWCNTs), were used to prepare poly(vinylidene fluoride) (PVDF)-based nanocomposites. The melt viscoelastic behaviors of PVDF and its nanocomposites were characterized. The results showed that the introduction of both the MWCNTs and bud-branched nanotubes (MWCNTs-B) increased the storage modulus, loss modulus, and complex viscosity of the nanocomposites. However, the bud-branched nanotubes were more efficient to increase the elasticity than the MWCNTs that have relatively smooth surfaces. In particular, it was observed that the bud-branched nanotubes caused an increase of normal force and crossover modulus, while for MWCNTs, no variation in the normal force and a decrease of the crossover modulus were observed.     

Area Spectra of d-Dimensional Extreme Reissner-Nordström Black Holes

With the physical interpretation of quasinormal modes proposed by Maggiore, we investigate the quantum area and entropy spectra of d-dimensional extreme Reissner-Nordström black holes. Employing two methods, the method of Maggiore and the action variable quantization, we arrive at the spectra consistent with each other. Results show that the spectra are irrelevant to the black hole parameters and the perturbation field parameters but relative to the spacetime dimension. For a given dimension, the spectra are equally spaced.     

110kV冷绝缘高温超导电缆在故障电流下的温度计算与分析

研究了110kV冷绝缘高温超导电缆失超时,故障电流的分流情况,并以此为依据,建立了电缆在故障电流下失超时,温升与时间关系的计算模型;通过MATLAB对计算模型进行了求解,并对求解结果进行了分析;计算出了电缆在不同故障电流下,温度上升到不同值所需要的时间,进一步明确了故障电流的大小对电缆温升的影响。     

高温超导电缆直流测试电源平台的搭建

根据高温超导电缆测试用直流电源平台的要求,建立了硬件平台。该平台为模块化结构,具有输出精度高,便于扩展等特点;为方便操作,建立了基于LabVIEW的软件平台,对直流电源平台进行远程控制,并给出了远程控制的程序流程图,实现了电流的匀速上升和下降以及上升过程中的中断操作;利用该电源平台进行了超导电缆的临界电流测试实验,验证了直流电源平台符合高温超导电缆的测试要求。     

化学气相沉积金刚石探测器测量辐射驱动内爆的硬X射线

金刚石探测器具有响应快、灵敏度高、动态范围大、平响应、击穿电压高、抗辐射等优点, 广泛运用于X射线测量. 利用化学气相沉积方法制备的光学级金刚石, 采用金属-金刚石-金属结构研制了X射线金刚石探测器. 在8ps激光器上的探测器响应性能考核表明, 整个探测器系统的响应时间为444 ps, 上升时间为175 ps, 载流子寿命为285 ps. 将探测器应用于神光Ⅲ原型装置的内爆物理实验硬X射线测量, 分别测量得到以注入黑腔的激光转化为主和靶丸内爆产生为主的硬X射线能流, 测得的峰值信号分别正比于激光总能量和反比于靶丸CH层厚度. 关键词： CVD金刚石探测器 硬X射线 激光能量     

Zn1-xTMxO (TM=Al,Ga, In)导电性能的模拟计算

基于密度泛函理论框架下的第一性原理平面波超软赝势方法, 构建了未掺杂与相同掺杂浓度的Zn_1-xTM_xO (TM=Al, Ga, In) 超胞模型,分别对模型进行了几何结构优化、态密度分布和能带分布的计算. 结果表明, 分别高掺杂 (Al, Ga, In) 相同原子分数3.125 at%的条件下, In掺杂对ZnO导电性能最好的结果, 计算结果和实验结果相一致. 关键词： (Al,Ga,In) 高掺ZnO 导电性能 第一性原理