原子核反应系统的最优控制问题

本文讨论基于单能静态稆向同性迁移方程的原子核反应堆系统的最优控制问题。本文把散射裂变截面函数当作控制变量，在一定条件下，证得最优控制的存在唯一性。本文最后给出最优散射裂变截控制存在的一个必要条件。     

CPC零电流示波电位滴定法测定陶瓷铂金水中的铂（Ⅳ）

提出了一个快速测定铂（Ⅳ）的零电流示波电位滴定法。以氯化十六烷基吡啶为滴定剂，用铂电极和银电极为指示电极，利用阴极射线示波器荧光屏上荧光点的突然位移来指示ＣＰＣ滴定ｐｔ（Ⅵ）的终点，具有灵敏、准确、快速等特点。用该法测定陶瓷铂金水中的铂，结果良好。     

基于"分形城市"概念的"分形住区"设计思想初探

在“分形城市”概念基础上,结合分形理论与住区规划设计的一般内涵,提出了“分形住区”设计思想．“分形住区”设计思想包括分形结构、分形元素和分形组织3个层面内容,每个层面均包涵分形与分维这两个必不可少而又不可分割的基本概念。进而,解释了分形与分维在各个层面上的涵义,完整地论述了“分形住区”的设计思想．最后,文章阐述了“分形住区”设计思想的现实意义,并就研究结论进行了必要的讨论．     

A nonlinear wave coupling algorithm and its programing and application in plasma turbulences

The fully developed turbulence can be regarded as a nonlinear system, with wave coupling inside, which causes the nonlinear energy to transfer, and drives the turbulence to develop further or be suppressed. Spectral analysis is one of the most effective methods to study turbulence system. In order to apply it to the study of the nonlinear wave coupling process of edge plasma turbulence, an efficient algorithm based on spectral analysis technology is proposed to solve the nonlinear wave coupling equation. The algorithm is based on a mandatory temporal static condition with the nonideal spectra separated from the ideal spectra. The realization idea and programing flow are given. According to the characteristics of plasma turbulence, the simulation data are constructed and used to verify the algorithm and its implementation program. The simulation results and experimental results show the accuracy of the algorithm and the corresponding program, which can play a great role in the studying the energy transfer in edge plasma turbulences. As an application, the energy cascade analysis of typical edge plasma turbulence is carried out by using the results of a case calculation. Consequently, a physical picture of the energy transfer in a kind of fully developed turbulence is constructed, which confirms that the energy transfer in this turbulent system develops from lower-frequency region to higher-frequency region and from linear growing wave to damping wave.     

Probabilistic and controlled teleportation of tripartite state in a general form and its quantum networks

We discuss a scheme for probabilistic and controlled teleportation of an unknown arbitrary three-particle state by constructing a peculiar non-maximally entangled state as a controlled quantum channel，which is teleported between two sides with the help of the auxiliary particle and the cooperation of the third side (Charlie) as a supervisor. In comparison with some existing schemes, on the receiver's side it is easy to have the sender's state through operating two uniform unitary transformations in turn. In addition, we also give an efficient quantum network for implementing the new scheme by means of some primitive operations.     

电化学发光猝灭法测定谷胱甘肽

谷胱甘肽是生物体内的重要活性物质,它的研究测定对人类的健康和生活具有重要的意义。文章在中性介质中鲁米诺-碘化钾电化学发光的基础上,研究了还原型谷胱甘肽对此电化学发光反应的猝灭作用,并在此基础上建立了一种高灵敏度的谷胱甘肽的新的测定方法。该方法测定谷胱甘肽的线性范围为3.38×10-13～4.72×10-3 mol·L-1, 是迄今为止见诸报道的对谷胱甘肽测定的最灵敏的方法,也是测定范围最宽的方法。     

NSECT的锗酸铋阵列相邻信号叠加算法模拟研究

由于受激元素所辐射的光子能量范围主要集中在100 keV~6 MeV之间,因此通过基于此能量范围的射线源模拟实验研究了采用锗酸铋（BGO）阵列相邻信号叠加实现能量高分辨率的新方法并分析比较了其性能。结果显示：对于较高能的光子,若仅使用单根BGO晶体产生的信号时不可能得到较好的能量分辨率;而当使用BGO阵列将该单晶体产生的信号与相邻晶体产生信号相加,则能谱质量会变得更佳。对于能量分辨率为90 keV的能量窗,通过模拟得到平均固有空间分辨率为3.938 mm (FWHM)。     

小型集成三通道机抖激光陀螺数字式控制电路设计

针对军事和民用工程中亟待解决的捷联式机械抖动激光陀螺惯导的小型化、集成化和高精度问题,提出了一种以单块电路板实现对3个机械抖动激光陀螺进行数字式稳频控制、抖动控制、稳流控制、信号检测及脉冲计数的全功能小型机抖激光陀螺集成控制方案,设计了以DSP和FPGA为核心控制器的陀螺电路。试验结果表明,该集成控制电路能同时实现3路陀螺的自动控制,参数调整灵活方便,控制精确稳定,在实现小型化集成化的同时,提高了激光陀螺的输出精度,为捷联式机械抖动激光陀螺惯导的小型化、集成化和高精度奠定了基础,已在多个项目中获得工程应用,具有较高实用价值。     

Research on the Fictitious Source Points of the Hybrid Fundamental Solution⁃Based Finite Element Method for Heat Conduction Problems北大核心CSCD

针对热传导问题,提出了杂交基本解有限元法.首先,假设两个独立场:一个为利用基本解线性组合近似的单元域内温度场,另一个为使用与传统有限元法相同形式的辅助网线温度场.然后,利用修正变分泛函将上述两个独立场关联起来,并导出有限元列式.然而,该方法的准确性很大程度上取决于源点的分布和数量,通常将源点布置在单元外部两种虚拟边界上:与单元相似的边界和圆形边界.此外,还提出了双重虚拟边界,并与上述两种源点布局方式进行对比.通过两个典型数值算例,验证了该文方法在不同源点布局下的有效性和对网格畸变的不敏感性.     

Grünwald插值算子的L2收敛性

证明了以Legendre多项式的极值点为插值结点组的Grünwald插值多项式在L2范数下是收敛的.