Lp-based combinatorial problem solving

A tutorial outline of the polyhedral theory that underlies linear programming (LP)-based combinatorial problem solving is given. Design aspects of a combinatorial problem solver are discussed in general terms. Three computational studies in combinatorial problem solving using the polyhedral theory developed in the past fifteen years are surveyed: one addresses the symmetric traveling salesman problem, another the optimal triangulation of input/output matrices, and the third the optimization of large-scale zero-one linear programming problems.     

用于光纤熔接系统的纤芯检测镜头设计

光纤已广泛应用于当今社会的信息传输领域。为了满足长距离光纤传输中高质量光纤熔接的需要,介绍了一个应用于光纤熔接系统的透射光纤纤芯检测系统。该系统中的核心器件是一组能对光纤纤芯成像的特殊镜头。借助于ZEMAX软件,设计了这组检测镜头。该镜头具有8倍放大倍率、长工作距离、短结构、高精度等特点。论述了镜头的设计方案和设计过程,并给出了满足要求的设计结果。通过在LightTools软件中对整个系统检测结果的模拟,证明了该设计的可行性。     

基于PLC和无线传感器网络的光电监测系统构建

为了克服传统监测系统的不足,构建一种基于PLC和无线传感器网络的光电监测系统.在分析光电监测系统的构成及工作原理的基础上,探讨了基于遥测技术的无线光电传感器网络实现方式,研究了ABB PLC软硬件实现及FameView的开发的可行性.采用ABB公司生产的AC500 PLC作为主要控制器件,通过Modbus协议按地址依次轮询无线传感器节点来采集数据,对其进行相应处理,并将最终结果传递给上位机.上位机将获得的数据通过FameView组态软件生成监控画面,实时监测现场的运行情况.监测灵活、高效,数据采集效率较高,具备良好的扩展性.这种新型光电监测系统在企业生产、战场环境等许多军民用领域中具有重要作用.     

基于Mie散射的CO_2激光大气传输特性测量

为了更准确地计算大气透过率,在Mie散射理论基础上,分析了雷达系统设计中需考虑的大气透过率的经验计算公式,指出了该经验公式的不足。考虑大气分析软件MODTRAN自身的优点,采用经验公式和软件计算相结合的方式计算大气透过率,给出了MODTRAN计算结果的修正表达式。在该理论指导下,进行了CO2激光大气传输实验。由于没有考虑大气湍流,理论计算和实验结果存在一定偏差,但不影响本文方法的实用性。实验测量显示,激光器出口处光斑能量抖动比为6.18%,而在50m和1km处能量抖动比分别为8.3%和50.2%,表明随着传输距离增加,能量抖动比增大。除掉激光器本身输出能量抖动外,在50m和1km处由大气传输造成的能量抖动比分别为2.12%和44.02%。实验结果提示,水平传输1km时能量抖动已相当剧烈,所以对更远距离的激光传输,自适应光学补偿显得尤为重要。     

Another Conserved Quantity by Mei Symmetry of Tzénoff Equation for Non-Holonomic Systems

As a direct result of Mei symmetry of the Ténoff equation for non-holonomic mechanical systems, another conserved quantity is studied. The expression and the determining equations of the above conserved quantity are also presented. Using this method, it is easier to find out conserved quantity than ever. In the last, an example is presented to illustrate applications of the new results.     

Performance of a four‐element Si drift detector for X‐ray absorption fine‐structure spectroscopy: resolution, maximum count rate,and dead‐time correction with incorporation into the ATHENA data analysis software

The performance of a four‐element Si drift detector for energy‐dispersive fluorescence‐yield X‐ray absorption fine‐structure measurements is reported, operating at the National Institute of Standards and Technology beamline X23A2 at the National Synchrotron Light Source. The detector can acquire X‐ray absorption fine‐structure spectra with a throughput exceeding 4 × 10⁵ counts per second per detector element (>1.6 × 10⁶ total counts per second summed over all four channels). At this count rate the resolution at 6 keV is approximately 220 eV, which adequately resolves the Mn Kα and Kβ fluorescence lines. Accurate dead‐time correction is demonstrated, and it has been incorporated into the ATHENA data analysis program. To maintain counting efficiency and high signal to background, it is suggested that the incoming count rate should not exceed ～70% of the maximum throughput.     

Incorporating the dynamic mathematics software GeoGebra into a history of mathematics course

The purpose of this study was to investigate pre-service teachers’ views about the history of mathematics course in which GeoGebra was used. The qualitative research design was used in this study. The participants of the study consisted of 23 pre-service mathematics teachers studying at a state university in Turkey. An open-ended questionnaire was used as a data collection tool. Qualitative data obtained from the pre-service teachers were analyzed by means of content analysis. As a result, it was determined that GeoGebra software was an effective tool in the learning and teaching of the history of mathematics.     

Engaging in problem posing activities in a dynamic geometry setting and the development of prospective teachers’ mathematical knowledge

In the present study we explore changes in perceptions of our class of prospective mathematics teachers (PTs) regarding their mathematical knowledge. The PTs engaged in problem posing activities in geometry, using the “What If Not?” (WIN) strategy, as part of their work on computerized inquiry-based activities. Data received from the PTs’ portfolios reveals that they believe that engaging in the inquiry-based activity enhanced both their mathematical and meta-mathematical knowledge. As to the mathematical knowledge, they deepened their knowledge regarding the geometrical concepts and shapes involved, and during the process of creating the problem and checking its validity and its solution, they deepened their understanding of the interconnections among the concepts and shapes involved. As to meta-mathematical knowledge, the PTs refer to aspects such as the meaning of the givens and their relations, validity of an argument, the importance and usefulness of the definitions of concepts and objects, and the importance of providing a formal proof.     

软件可靠性模型和估计

本文根据何国伟提出的软件可靠性模型,特别是输入空间和输入分布的概念,分析软件测试数据特征,给出软件可靠性的点估计和置信下界的计算公式。