关于代数体函数的一个界囿定理

使用v-值代数体函数的对数导数引理,通过估计代数体函数的第二基本定理中的余项,得到代数体函数不涉及导数的一个界囿定理.     

ZnS:Mn/CdS核壳结构纳米微粒的制备及光学特性

采用微乳液法制备了掺Mn的ZnS纳米微粒并用CdS对其进行了表面修饰,以XRD、紫外吸收和发射光谱对其结构及光学性质进行了表征和研究.制得的纳米微晶粒径为4～6nm,为立方纤锌矿结构.与未经包覆的ZnS:Mn纳米微粒相比,核壳结构的ZnS:Mn/CdS纳米微粒中Mn2+发射峰的强度增强了很多,适当厚度的壳层的修饰可减少其表面态发射和非辐射跃迁,增强了Mn2+离子的4T1-6A1的能量传递和ZnS的带边发射,提高了发光效率;讨论了ZnS核中Mn掺杂浓度对ZnS:Mn/CdS纳米微晶的光学性能的影响,发现当掺Mn浓度为4;时Mn2+发射峰的强度最大.     

Probing the QCD phase structure with higher order baryon numbersusceptibilities within the NJL model

Conserved charge fluctuations can be used to probe the phase structure of strongly interacting nuclear matter in relativistic heavy-ion collisions. To obtain the characteristic signatures of the conserved charge fluctuations for the quantum chromodynamics(QCD) phase transition, we study the susceptibilities of dense quark matter up to eighth order in detail, using an effective QCD-based model. We studied two cases, one with the QCD critical end point(CEP) and one without owing to an additional vector interaction term. The higher order susceptibilities display rich structures near the CEP and show sign changes as well as large fluctuations. These can provide us information about the presence and location of the CEP. Furthermore, we find that the case without the CEP also shows a similar sign change pattern, but with a relatively smaller magnitude compared with the case with the CEP. Finally, we conclude that higher order susceptibilities of conserved charge can be used to probe the QCD phase structures in heavyion collisions.     

非线性方程组重根的可信验证方法

利用区间算法及边界矩阵理论, 研究非线性方程组重根的可信性验证方法. 提出一种可信验证算法, 该算法输出一个近似解及其相应的误差界, 使得在近似解的误差界范围内必存在一个精确解.     

《机械制图》教学中的几点感想

先进的教学方法、手段融入到教学中,如果运用不恰当。可能会走入误区。本文从多媒体使用、CAD与制图结合、发挥学生主体作用等方面对《机械制图》教学需注重的几个融合作出了分析。     

Constructing infinite sequence exact solutions of nonlinear evolution equations

To construct the infinite sequence new exact solutions of nonlinear evolution equations and study the first kind of elliptic function, new solutions and the corresponding Bäcklund transformation of the equation are presented. Based on this, the generalized pentavalent KdV equation and the breaking soliton equation are chosen as applicable examples and infinite sequence smooth soliton solutions, infinite sequence peak solitary wave solutions and infinite sequence compact soliton solutions are obtained with the help of symbolic computation system Mathematica. The method is of significance to search for infinite sequence new exact solutions to other nonlinear evolution equations.     

复方三芪提取物对NMDA致大鼠视网膜损伤的保护作用

目的:研究复方三芪提取物对由N-甲基-D天门冬氨酸(NMDA)诱导的大鼠视网膜损伤模型的保护作用.方法:20只SD大鼠随机分为5组:正常对照组、模型组、复方三芪提取物低、中、高剂量组.模型组和给药组大鼠于右眼玻璃体内注射2μL 40 nmol.L-1NMDA,制备视网膜神经元损伤模型.给药组在NMDA注射前7 d起给予复方三芪提取物灌胃(3.903,7.805,15.61 g.kg-1.B.W.);正常对照组和模型组则给予等剂量的生理盐水灌胃.注射NMDA 7 d后静脉取血,测定血清超氧化物歧化酶(SOD)活性及丙二醛(MDA)含量,取眼球组织,切片HE染色,观察视网膜厚度,并对视网膜视神经节细胞层(RGCL)神经元进行计数.结果:模型组大鼠RGCL神经元个数为正常组大鼠的51±6%.同模型组相比,复方三芪提取物(3.903,7.805,15.61 g.kg-1.B.W.)能剂量依赖性地增加RGCL神经元个数(P<0.05),依次为正常组的69±6%,89±7%,103±7%.复方三芪提取物(7.805 g.kg-1.B.W.)显著提高大鼠血清SOD活性并降低MDA含量(P<0.001).结论:复方三芪提取物能抑制NMDA诱导的视网膜脂质过氧化,并能阻止大鼠视网膜神经元进行性丢失,对NMDA诱导损伤的大鼠视网膜有修复作用.提示复方三芪提取物可能具有促进神经元的再生作用.     

单级倒立摆两种控制方法的研究

本文针对多变量、非线性、强耦合性的倒立摆系统,建立了单级倒立摆的数学模型。采用PID、LQR两种不同的控制方法对单级倒立摆系统进行了实时控制效果的实验对比。从理论和实验方法上讨论了这类典型非线性自不稳定系统的控制器的设计方法及其实际控制效果的特点．指出了不同方法的优缺点。     

New application to Riccati equation

<正>To seek new infinite sequence of exact solutions to nonlinear evolution equations,this paper gives the formula of nonlinear superposition of the solutions and Backlund transformation of Riccati equation.Based on the tanhfunction expansion method and homogenous balance method,new infinite sequence of exact solutions to Zakharov-Kuznetsov equation,Karamoto-Sivashinsky equation and the set of(2+l)-dimensional asymmetric Nizhnik-Novikov-Veselov equations are obtained with the aid of symbolic computation system Mathematica.The method is of significance to construct infinite sequence exact solutions to other nonlinear evolution equations.     

New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation

In this paper, based on hyperbolic tanh-function method and homogeneous balance method, and auxiliary equation method, some new exact solitary solutions to the generalized mKdV equation and generalized Zakharov--Kuzentsov equation are constructed by the method of auxiliary equation with function transformation with aid of symbolic computation system Mathematica. The method is of important significance in seeking new exact solutions to the evolution equation with arbitrary nonlinear term.