基于法布里-珀罗干涉仪的液体浓度实时检测系统的研究

设计了一种对透明液体浓度进行高精度测量的动态跟踪系统。该系统根据液体的浓度与折射率关系以及折射率与光纤法布里珀罗(F-P)干涉仪干涉光波波长、级次之间关系,通过测量法布里珀罗干涉仪干涉级次的变化量,获得液体浓度的变化量。系统中光源选用He-Ne激光器,波长为632.8 nm,输出功率为2 mW,法布里珀罗干涉腔反射面的反射系数为0.9~0.95,平行度为(1/10~1/20)光波波长,平面度为(1/20~1/100)光波波长,接收干涉条纹的器件采用电荷耦合器件(CCD),对电荷耦合器件输出的信号进行二值化处理时采用阈值浮动措施,消除光强波动带来的测量误差。通过对一组不同浓度酒精进行测量,该系统可识别出0.01?的浓度变化。     

分级实验中限制性开放的探索与实践

分级物理实验中限制性开放能够提高学生科研素质,激发学生的学习热情,促进综合职业能力。我校采用了物理实验分级教学和分级实验中限制性开放等手段,取得了良好的效果。     

嵌入式实时操作系统任务调度算法优化

在嵌入式系统中,任务调度器的好坏很大程度上决定了系统的性能.该文分析了实时系统中有代表性的静态以及动态调度算法,在此基础上,结合RMS和EDF算法各自的优点,对嵌入式实时内核μc/os-Ⅱ的调度算法进行了优化.     

Sorting Using Complete Subintervals and the Maximum Number of Runs in a Randomly Evolving Sequence

We study the space requirements of a sorting algorithm where only items that at the end will be adjacent are kept together. This is equivalent to the following combinatorial problem: Consider a string of fixed length n that starts as a string of 0’s, and then evolves by changing each 0 to 1, with the n changes done in random order. What is the maximal number of runs of 1’s? We give asymptotic results for the distribution and mean. It turns out that, as in many problems involving a maximum, the maximum is asymptotically normal, with fluctuations of order n ^1/2, and to the first order well approximated by the number of runs at the instance when the expectation is maximized, in this case when half the elements have changed to 1; there is also a second order term of order n ^1/3. We also treat some variations, including priority queues and sock-sorting. The proofs use methods originally developed for random graphs.     

Travelling wave solutions to Stokes’ problem for a fourth grade fluid

A non-linear partial differential equation modelling the flow of a fourth-grade fluid is derived. Both analytical and numerical travelling wave solutions admitted by the model equation are obtained.     

Global Priority Estimation in Multiperson Decision Making

The analytic hierarchy process generalized to synthesizing local preferences across a complex hierarchy structure into global priorities in multiperson decision making is considered in various approaches. They include classic eigenvector synthesis and multiplicative method, and several other suggested techniques, such as three-dimensional eigenvectors, and simultaneous linear and nonlinear estimations by whole hierarchy structure in synthetic optimizing procedures. A numerical example from marketing research with many criteria, subcriteria, alternatives, and respondents is presented. The quality of approximation compared by different approaches shows that the best results are produced by the nonlinear synthetic priority techniques. The techniques described have been successfully used in dozens of real-world projects and are very helpful for practical managerial decision making in complex hierarchies. Dr. Stan Lipovetsky is Senior Research Director, GfK Custom Research North America, Marketing Science, Research Center for Excellence. The author thanks Professor T. Rapcsak and two reviewers for insightful suggestions that improved the paper.     

直觉判断矩阵的弱传递性与加型一致性研究

定义了直觉判断矩阵的有向图和有向路概念,证明在一定的条件下直觉判断矩阵的有向图有唯一有向路.利用该结论给出一个简洁的排序方法,并指出这种方法的不足之处.通过反例说明了直觉判断矩阵已有的加型一致性概念与弱传递性概念之间没有必然强弱关系.根据直觉模糊数的得分值和精确度值,利用效用的思想给出直觉判断矩阵加型一致性的新定义,并证明了新定义的加型一致性具有弱传递性.针对一般的直觉判断矩阵, 运用新定义的加型一致性概念以及偏差函数的方法给出了求解直觉判断矩阵的直觉模糊数型权重的模型,并通过算例验证了决策方法的实用性.     

基于最小偏差和优势度的区间数互补判断矩阵排序法

针对决策信息以区间数互补判断矩阵形式给出的多目标决策问题。首先,给出相对优势度的概念和区间数加性一致性互补判断矩阵的判定定理。其次,建立一个目标规划模型,通过求解该模型得到区间数互补判断矩阵的权重向量,并利用各权重向量的总体相对优势度对方案进行排序,提出了基于最小偏差和优势度的区间数互补判断矩阵排序法。方法的核心是对数值型互补判断矩阵排序方法的拓展。最后,通过实例说明方法的可行性和有效性。     

基于结构元方法的模糊数互补判断矩阵排序法

利用模糊结构元方法,研究了决策信息以模糊数互补判断矩阵形式给出的有限方案决策问题。给出了模糊数互补判断矩阵的定义,介绍了模糊数排序的一种简捷方法——组合序。在该序的基础上,对模糊有序加权平均(FOWA)算子的若干性质进行证明。利用该算子能够将模糊数互补判断矩阵转换为实数矩阵,进而,对模糊数互补矩阵的排序问题转换成实数矩阵的排序问题。只要矩阵中的元为有界闭模糊数,就可以利用FOWA算子进行排序。最后通过算例对比分析,算例表明利用本文的方法进行排序更为简捷。     

Effect of Nonlinear Convection on Stratified Flow of Third Grade Fluid with Revised Fourier-Fick Relations

Here thermal dependence conductivity and nonlinear convection features in third-grade liquid flow bounded by moving surface having varying thickness are formulated. Stagnation point flow is considered. Revised FourierFick relations and double stratification phenomena are utilized for modeling energy and concentration expressions. Mathematical model of considered physical problem is achieved by implementing the idea of boundary layer theory. The acquired partial differential system is transformed into ordinary ones by employing relevant variables. The homotopic scheme yield convergent solutions of governing nonlinear expressions. Graphs are constructed for distinct values of physical constraints to elaborate the heat/mass transportation mechanisms.