Kinetics and mechanism of electropolymerization of m-aminophenol

The kinetics and mechanism of electropolymerization of m-aminophenol (mAP) has been investigated in acetonitrile (AN) and methanol (MeOH) media. The rate of polymerization is found to be proportional to [mAP] (current)^0.5 at moderate current densities; at higher current densities, the rate of polymerization is independent of current density. A suitable mechanism has been proposed and the rate equation is derived to explain the observed factors. Rotating disc voltametry revealed that at low current densities, the rate of polymerization is charge controlled, while at high current densities it is diffusion controlled. The physicochemical characteristics of AN make it a better solvent than MeOH. © 1993 John Wiley & Sons, Inc.     

圆盘式折射计中的光线分析

本文对作者提出的圆盘式折射率计里的光线,特别是非平行光线的传输问题进行了详尽的分析.分析及计算机计算表明,圆盘式折射率计的线性度甚至可对非平行光线仍良好保持.圆盘内光线的多次反射克服了非全内反射的影响,使得输出线性度仍然得以保持.有关参数设计及改进精度的讨论亦在本文作了讨论.     

Expandability radius versus density of a lattice packing

In the present paper lattice packings of open unit discs are considered in the Euclidean plane. Usually, efficiency of a packing is measured by its density, which in case of lattice packings is the quotient of the area of the discs and the area of the fundamental domain of the packing. In this paper another measure, the expandability radius is introduced and its relation to the density is studied. The expandability radius is the radius of the largest disc which can be used to substitute a disc of the packing without overlapping the rest of the packing. Lower and upper bounds are given for the density of a lattice packing of given expandability radius for any feasible value. The bounds are sharp and the extremal configurations are also presented. This packing problem is related to a covering problem studied by Bezdek and Kuperberg [BK97]. This revised version was published online in June 2006 with corrections to the Cover Date.     

Adjustment and evaluation of an LDA probe for accurate flow measurement

An LDA probe with optimized measuring volume was obtained based on repeated adjustments of a preconfigured LDA system with a calibrated spinning disc. A retriggerable pulse-width-and-time-delay module was used to trigger and freeze favorable Doppler bursts. After a repeated beam-steering procedure and a fringe-pattern analysis, we found that the variation of fringe spacing throughout the measuring volume was reduced from 3% to 0.28%, such that the adjusted probe gave more accurate measurements. To verify this applicability in velocity calibration, the fringe spacing of the adjusted LDA measuring volume was treated as a velocity coefficient, and its mean and measurement uncertainty was experimentally estimated. Analysis shows that the expanded uncertainty of the coefficient was 0.10% at the 95% level of confidence for both the components of the LDA. The results demonstrated that the adjusted LDA system was qualified to perform accurate flow measurement.     

线上教学的难题与解决方法*——大学化学慕课建设中的思考

利用中国大学 MOOC平台进行“大学化学”慕课的第二次录制。在本次课程的建设中,总结第一次录制时遇到的线上教学难题,提出“私人定制,以学为本,冲击高阶,求实创新”的新目标,开展分层递进等教学模式。实践表明,该模式可以满足不同基础学生的需求,大幅提高学习效率,克服线上教学学生基础差距大、教学效果反馈不及时等难题;同时兼具科普和思政教育效果。     

BAND STRUCTURE AND TRANSMISSION CHARACTERISTICS CALCULATION OF PHONONIC CRYSTALS BASED ON MULTI-LEVEL SUBSTRUCTURE TECHNIQUE

基于多重多级子结构方法提出一种快速的声子晶体能带与传输特性的计算策略. 主要思想是将声子晶体划分成多层级子结构有限元模型,在能带计算中采用静凝聚和子结构周游树技术将子结构的内部刚度阵凝聚到Bloch 边界上. 由于内部刚度阵并不随着简约波矢变化,所以这种计算策略可以大大降低求解规模并提高计算效率,并不对整体有限元模型引入近似. 在传输特性计算中同样采用该策略,由于声子晶体单胞具有周期性,所以各个单胞的系数矩阵是相同的,从而减少计算量,并且可以灵活地选择是否回代求解单胞内部自由度. 数值算例以三维局域共振型声子晶体和二维Bragg 散射型声子晶体为例,计算结果验证了这种求解策略的正确性和高效性,并适用于复杂声子晶体分析.     

Efficient band monitoring with sensors outer positioning

The article considers models for monitoring a band with a preset width using sensor networks shaped as disc covers. Every cover disc is a centred sensor operation area. The researchers determine a min-density band cover with the discs of one, two and three radii. The specific requirement for the cover is that the disc centres shall not be inside the band (external monitoring). Various efficient cover models are proposed and their characteristics are determined.     

Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter

In this paper we develop the Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on the spectral parameter. We generalize and complete several recent results concerning these systems, which have the spectral parameter only in the second equation. Our new theory includes characterizations of the Weyl discs and Weyl circles, their limiting behaviour, properties of square summable solutions including the analysis of the exact number of linearly independent square summable solutions and limit point/circle criteria. Some illustrative examples are also provided.     

A model of fluid injection into the spinal disc

This paper presents an analytical model of the stress–strain response of intervertebral disc to fluid injection. The disc has nonlinear properties and collagen fibres play a significant role in sustaining strain. Each fibre is modeled as a flexible, helical string inclined at ∼30° to the horizontal plane. The tensile stress in the fibres is obtained from a nonlinear stress–strain law that has been determined by experiment. An asymptotic approximation of the model equations based on the ratio of the fluid injected to the initial volume of fluid in the disc is developed and its solution obtained. Some quantitative predictions are made by considering a hypothetical value of the amount of fluid injected and some material values of discs at different levels of the spine. Numerical simulations show that the model compare reasonably well with some experimental observations for discs of the lumbar region.     

Deterministic Time-inconsistent Optimal Control Problems - an Essentially Cooperative Approach

A general deterministic time-inconsistent optimal control problem is formulated for ordinary differential equations. To find a time-consistent equilibrium value function and the corresponding time-consistent equilibrium control, a non-cooperative N-person differential game (but essentially cooperative in some sense) is introduced. Under certain conditions, it is proved that the open-loop Nash equilibrium value function of the N -person differential game converges to a time-consistent equilibrium value function of the original problem, which is the value function of a time-consistent optimal control problem. Moreover, it is proved that any optimal control of the time-consistent limit problem is a time-consistent equilibrium control of the original problem.