一种应用于LCoS光机的复眼照明系统仿真设计

复眼照明系统利用复眼透镜,可实现高亮度和较好的亮度均匀性,并且有较成熟的偏振处理方法,在投影系统特别是基于偏振光的投影系统中能提供比光棒照明系统更加高的亮度和好的均匀性的画面,使得光能利用率和图像均匀性有了较大的提高。在对复眼照明系统的原理进行分析的基础上,设计了一种用于投影光机的复眼照明系统,并用Matlab对该系统进行了光线追迹的仿真程序设计。对复眼照明系统的光线追迹进行了仿真。实际应用证明,在LCoS中采用本方案设计的照明系统比光棒照明系统具有更高的亮度和更好的均匀性。     

Some geometrical iteration methods for nonlinear equations

This paper describes geometrical essentials of some iteration methods （e.g. Newton iteration, secant line method, etc.） for solving nonlinear equations and advances some geometrical methods of iteration that are flexible and efficient.     

Uniform persistence of multispecies ecological competition predator-pray system with Holling Ⅲ type functional response

The main purpose of this paper is to study the persistence of the general multispecies competition predator-pray system with Holling Ⅲ type functional response.In this system,the competition among predator species and among prey species are simultaneously considered.By using the comparison theory and qualitative analysis,the sufficient conditions for uniform strong persistence are obtained.     

Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition

This paper discusses the semidiscrete finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. The superclose property is derived through interpolation instead of the nonlinear H^1 projection and integral identity technique. Meanwhile, the global superconvergence is obtained based on the interpolated postprocessing techniques.     

一类流固耦合系统强解的存在性问题

本文主要讨论一类多刚体与粘性系数依赖于密度的不可压缩流体耦合系统的强解存在性问题.首先,利用变量替换建立本文研究对象对应的非线性微分方程,然后,利用Garlerkin逼近方法获得线性化问题的光滑解,从而可以构造出原问题的逼近解.通过估计逼近解的一致有界性,最后证明了一类描述多刚体在不可压缩流体中运动的耦合系统强解的存在...     

Molecular-scale drug delivery systems loaded with oxaliplatin for supramolecular chemotherapy

Smart strategies that can decrease the side effect and enhance the therapeutic efficacy of chemotherapy are in urgent need to meet the special demands of cance r therapy.Herein,two wate r-soluble macrocyclic hosts,i.e.,a carboxylated leaning tower[6]arene(CLT6) and a carboxylated [2]biphenyl-extended pillar[6]arene(CBpP6),are used to load chemotherapy drug oxaliplatin(OxPt) by forming inclusion complexes(OxPt■CLT6 and OxPt■CBpP6) through host-guest interactions.Interestingly,OxPt can be released from the macrocyclic cavities of these drug delivery systems(DDSs) via the competitive binding effect of spermine(SPM) because of the stronger binding abilities of CLT6/CBpP6 toward SPM as compared with OxPt,leading to enhanced cytotoxicity on SPM-overexpressed cancer cells,such as breast cancer MCF-7 cells.Moreover,compared to free OxPt,due to the low concentration of SPM in normal cells,OxPt■CGT6 and OxPt■CBpP6 demonstrated a decreased cytotoxicity on liver L02 cells,which is beneficial fo r reducing the side effect of anticancer drug during chemotherapy.Such a strategy might be extended to other antitumor drugs and water-soluble macrocycles with suitable cavity sizes to achieve controllable drug delivery and enhanced anticancer ability in supramolecular chemotherapy     

回流冷凝试样消解-电感耦合等离子体原子发射光谱法测定铝合金中铅、镉、铬和汞

采用回流冷凝技术,将电子电气产品中铝合金样品用稀盐酸加热溶解后,用电感耦合等离子体原子发射光谱法(ICP-AES)同时测定电子电气产品铝合金中铅、镉、铬和汞,方法的检出限为0.001 8~0.019 mg.L-1,方法的回收率和精密度分别为92.3%~96.1%和0.16%~3.71%。     

Symmetries and Two Types of Non-Noether Conservation Laws of Birkhoffian System with Unilateral Constraints

The symmetries and non-Noether conservation laws of Birkhoffian system with unilateral constraints are studied. The differential equations of motion of the system are established, and the criterions of Noether symmetry, Lie symmetry and Mei symmetry of the system are given. Two types of new conservation laws, called the Hojman conservation law and the Mei conservation law respectively, are obtained, and the intrinsic relations among the symmetries and the new conservation laws are researched. At the end of the paper, an example is given to illustrate the application of the results.     

Darboux Transformation for Tzitzeica Equation

We present a Darboux transformation for Tzitzeica equation associated with 3 × 3 matrix spectral problem. The explicit solution of Tzitzeica equation is obtained.     

Extended Riccati Equation Rational Expansion Method and Its Application to Nonlinear Stochastic Evolution Equations

In this work, by means of a new more general ansatz and the symbolic computation system Maple, we extend the Riccati equation rational expansion method [Chaos, Solitons & Fractals 25 (2005) 1019] to uniformly construct a series of stochastic nontravelling wave solutions for nonlinear stochastic evolution equation. To illustrate the effectiveness of our method, we take the stochastic mKdV equation as an example, and successfully construct some new and more general solutions including a series of rational formal nontraveling wave and coefficient functions' soliton-like solutions and trigonometric-like function solutions. The method can also be applied to solve other nonlinear stochastic evolution equation or equations.