光学测量处理脱靶量研究

防空武器系统对空中靶标射击时,脱靶量是评价武器性能的一个重要参数.当光测设备整体布局已定,且单台设备测角精度已知的情况下,光测处理给出的脱靶量是否准确可言,精度是否满足要求,如何提高光测处理脱靶量的精度,是靶试人员、测量处理人员共同关心的问题.本文结合工程实践,对这一问题进行了研究,并给出一些简明的结论.     

Skellam Type Processes of Order k and Beyond

In this article, we introduce the Skellam process of order k and its running average. We also discuss the time-changed Skellam process of order k. In particular, we discuss the space-fractional Skellam process and tempered space-fractional Skellam process via time changes in Skellam process by independent stable subordinator and tempered stable subordinator, respectively. We derive the marginal probabilities, Lévy measures, governing difference-differential equations of the introduced processes. Our results generalize the Skellam process and running average of Poisson process in several directions.     

改进的平均源边界节点法模拟平面位势问题

平均源边界节点法ASBNM是一种最近提出的边界型无网格法。该方法仅使用边界节点不涉及任何单元和积分的概念,具有方法简单和程序设计容易等特点。但是,对于依赖于边界积分方程的边界型无网格法,关键问题是如何准确高效地估计影响矩阵的对角元。本文提出直接计算影响矩阵对角元的方法,是已有ASBNM法的改进,将对角元的计算转化为一个纯几何问题,因此适用于任何二维边值问题。数值算例证明了本文方法的有效性和准确性。     

关于两个单形顶点的距离、侧面积及体积的不等式及其应用

研究欧氏空间E'中两个单形顶点的距离、侧面积及体积之间的不等式问题。利用幂平均不等式、算术-几何不等式、Chebyshev不等式的性质以及$τ_{n}=[1+\frac{(M-m)^{2}}{(n+1)M^{2}}]^{\frac{n+1}{2n}}\ge 1,τ'_{n}=[1+\frac{(M'-m')^{2}}{(n+1)M^{'2}}]^{\frac{n+1}{2n}}\ge 1$,得到涉及两个单形顶点的距离、侧面积和体积的一些几何不等式。所得不等式是对已有结果的指数推广和加强推广。     

Optical and X-ray studies of a four component cyano liquid crystal mixture: Comparison of properties with that of a similar mixture

Optical and X-ray studies have been conducted on a four component liquid crystal mixture (code name 2013) with cyano–end groups in all the four components and a lateral substitution of fluorine atom in one of them. The variations in the optical birefringence with temperature, have been investigated and the thermal dependence of polarisability anisotropy and orientational order parameter have been evaluated. X-ray studies have been conducted to determine the effective molecular characteristics such as apparent molecular length and inter molecular distance and their variations with temperature. From nature of molecular alignment as envisaged from X-ray photographs the order parameter variation with temperature has been determined and compared with macroscopic order parameter variation as determined from birefringence studies. The results have been compared with these obtained for another structurally similar four-component liquid crystal mixture (code name 2014) with isothiocyanato end group in place of cyano.     

EXPONENTIAL CONVERGENCE OF SAMPLE AVERAGE APPROXIMATION METHODS FOR A CLASS OF STOCHASTIC MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS

In this paper,we propose a Sample Average Approximation(SAA)method for a class ofStochastic Mathematical Programs with Complementarity Constraints(SMPCC)recentlyconsidered by Birbil,Gürkan and Liste[3].We study the statistical properties of obtainedSAA estimators.In particular we show that under moderate conditions a sequence of weakstationary points of SAA programs converge to a weak stationary point of the true problemwith probability approaching one at exponential rate as the sample size tends to infinity.To implement the SAA method more efficiently,we incorporate the method with sometechniques such as Scholtes' regularization method and the well known smoothing NCPmethod.Some preliminary numerical results are reported.     

虚边界元法与强流电子枪的电子轨迹模拟

以位势问题为分析对象,从格林公式出发严格导出了虚边界元法的基本积分方程.并以虚边界元法基本积分方程为出发点,从理论上导出了虚边界元法对虚边界形状位置的基本要求.理论结果表明,虚边界元法本身是一种严格的方法,但在一定条件下,它是一种近似方法.基于虚边界元方法开发了一套适用于强流电子枪的电子轨迹模拟程序,并对强流电子枪进行了计算.对强流电子枪的计算表明,在同等条件下,取定最佳的虚实边界距离与边界单元数,虚边界元法较边界元法的精度要高.     

分子电性距离矢量用于三嗪类化合物的构效关系研究

采用分子电性距离矢量(Molecular Electronegativity Distance Vector,MEDV)表征了三嗪类化合物的分子结构,并运用多元线性回归(Multiple Linear Regression,MLR)建立了该类化合物结构与其发光菌和大型蚤毒性的定量结构-毒性相关(Quanti-tative Structure-Toxicity Relationship,QSTR)模型,同时采用留一法交互检验对所建模型进行了分析和验证,建模计算值的相关系数R分别为0.970和0.952,留一法交互检验预测值的相关系数RLOO分别为0.917和0.921,并进一步阐述了结构与毒性之间的关系。结果表明,三嗪环上π电子离域程度减小有利于毒性增加,侧链N上取代基数目增加,化合物毒性减小。为进一步预测该类化合物的毒性,进行药物筛选提供了有效的理论依据。     

溶液聚合过程中共聚物粘均分子量的快速测定

丙烯腈;衣康酸;溶液聚合过程中共聚物粘均分子量的快速测定     

Average degree and contractibility

It is proved that for every number k there exists a number f(k) such that every finite k‐connected graph of average degree exceeding f(k) contains an edge whose contraction yields again a k‐connected graph. For the proof, tree orders on certain sets of smallest separating sets of the graph in question are constructed. This leads to new canonical tree decompositions as well. © 2005 Wiley Periodicals, Inc. J Graph Theory