工程施工中运输网络优化方案

施工工地运输方案的优化设计可以归结为 :按施工期要求设计运输线路或验证已有线路通行能力 ,计算总线路中影响提高流量的关键路段 ,取得最小费用最大流 .本文运用图论理论这一数学工具把实际问题抽象为有向网络 ,进而建立数学模型 .此方法理论上严密 ,解题步聚直观清晰 ,对水利、公路、水路、铁路等其它运输系统有普遍意义 .     

Gain Spectrum in an Asymmetric Double Quantum Well

We propose a scheme for light amplification in an asymmetric double quantum well, where two excited states are coupled by resonant tunnelling through a thin barrier in a three-level system of electronic subbands. By applying a single driving laser, the steady state gain can be obtained. The calculated gain spectrum for an asymmetric GaAs/AlGaAs double quantum well structure was presented.     

Multi-Partite EPR Entangled State Representation for Continuous Variables and Its Application in Squeezing Theory

By extending the Einstein-Podolsky-Rosen (EPR) bipartite entanglement to an n-partite case, we construct the common eigenstate of the n-partite total coordinate and relative momenta for the continuous variables. The entanglement property of the state is shown. The classical dilation transform of variables in such a state induces a new n-mode squeezing operator related to an n-mode bosonic operator realization of SU(1,1) Lie algebra.     

Bounds for the Least Laplacian Eigenvalue of a Signed Graph

A signed graph is a graph with a sign attached to each edge. This paper extends some fundamental concepts of the Laplacian matrices from graphs to signed graphs. In particular, the relationships between the least Laplacian eigenvalue and the unbalancedness of a signed graph are investigated.     

在曲面上图嵌入的唯一性

在本文中，证明了图嵌入在一个已知曲面上的唯一性充分条件，这个条件比「４」中要弱些。     

转移概率流图的概率理论基础与应用方法(Ⅲ)——变量分离方法的依据及应用

范永亮．转移概率流图的概率理论基础与应用方法（Ⅲ）．数理统计与管理，１９９８，１７（３），５５～６０．本文引入多元转移概率函数及多元转移概率流图的概念，介绍处理同一转移过程中多个随机变量的变量分离方法，并以连续抽样方案中的抽样方式和抽检程序的讨论为例，探讨了变量分离方法的应用     

激光二极管端面抽运的1.34μm Nd:YVO4三镜折叠腔型激光器

理论上提出了三镜折叠腔的稳区理论,所得结论对设计激光器具有重要的指导意义;实验上实现了激光二极管端面抽运的1.34μm Nd:YVO4三镜折叠腔型激光器的运转.     

双峰双波长吸光光度法测定痕量铝

在pH5.5～6.0的六次甲基四胺缓冲溶液中,铝一络天青S—溴化十六烷基毗啶一Triton X-100体系具有正、负两个吸收峰于630nm和475nm处.据此,建立了痕量铝的双峰双波长吸光光度法.铝在0～5μg/25ml范围遵守比耳定律,摩尔吸光系数达1.2×10~5.测定了铝锅开水中痕量铝,结果满意.