The multiplicative representation for multiple objectives optimization with an application for arms procurement

Multiple Objectives Optimization is much seen in combination with linear functions and even with linear programming, together with an adding of the objectives by using weights. With distance functions, normalization instead of weights is used. It is also possible that together with an additive direct influence of the objectives on the utility function a mutual utility of the objectives exists under the form of a multiplicative representation. A critical comment is brought on some representations of this kind. A full‐multiplicative form may offer other opportunities, which will be discussed at length in an effort to exclude weights and normalization. This theoretical approach is followed by an application for arms procurement. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 327–340, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10014     

论综合大学中教师教育的师范特色

综合大学举办教师教育具有师范类高校无法比拟的诸多优势，但也有它自身的一些弱势。只有结合实际，坚持师范性，强调师范特色，才能发挥综合大学办教师教育的优势，培养出高质量的师范毕业生。     

整环上不定方程组的通解公式及其应用

借助Z上矩阵A∈Mm×n(Z)的标准形式D=VAU=diag(d1,d2,…,dq,0,…,0),得到了整环上不定方程组AX=B的通解公式以及矩阵初等变换法.     

基于摩擦磨损的数学模型的分布及讨论

主要讨论基于摩擦磨损的数学模型的分布性态和分布近似问题。引用无穷小概念,结合0-1律讨论了该模型的分布收敛于退化正态分布的条件。并在一定的矩条件下,利用特征函数,得到了该模型的分布近似于标准正态分布的误差。     

正态双边可靠度的Bootstrap下限

研究了正态单元双边可靠度Bootstrap置信下限,并在小样本条件下对Bootstrap估计进行了纠偏处理,以提高区间估计的精度。进行了仿真检验,并与目前经典的使用双边容许限系数表的近似法相比较,证明该方法具有较高的精度,便于程序实现。     

Size dependent free vibration analysis of functionally graded piezoelectric micro/nano shell based on modified couple stress theory with considering thickness stretching effect

Higher-order shear and normal deformation theory is used in this paper to account thickness stretching effect for free vibration analysis of the cylindrical micro/nano shell subjected to an applied voltage and uniform temperature rising. Size dependency is included in governing equations based on the modified couple stress theory. Hamilton's principle is used to derive governing equations of the cylindrical micro/nano shell. Solution procedure is developed using Navier technique for simply-supported boundary conditions. The numerical results are presented to investigate the effect of significant parameters such as some dimensionless geometric parameters, material properties, applied voltages and temperature rising on the free vibration responses.     

横向运动板干扰聚能射流的数值模拟

基于有限元分析软件ANSYS/LS-DYNA和LS-PREPOST,用ALE算法对射流垂直侵彻横向运动防护板的过程进行模拟分析。防护板在不同速度下干扰射流时,对防护板和后效板上的开坑形状进行分析,并计算后效板上的最终侵深及射流轴线上的速度降,得到射流在横向防护板作用下后效板侵深及射流轴线上的速度降随防护板速度变化的曲线。结果表明,防护板抗射流侵彻能力随防护板速度的增加而增强,尤其是防护板横向速度在0～100m/s增加时,抗射流侵彻能力增强较为明显。     

数学模拟中产生正态随机数的方法研究

针对在火灾烟气和其他气态物质扩散的模拟研究中经常遇到正态分布的随机数的产生问题进行研究,探讨了特殊分布随机数的产生方法。特别给出了正态分布随机数的产生算法及其代码,并进行了验证。结果表明了所述产生正态随机数算法的可行性和可靠性。     

关于强增生算子的Mann迭代序列收敛的充要条件

设Z是一致光滑Banach空间,T：X→X是次连续强增生算子,｛an｝、｛βn｝是两个实数列且满足0≤an≤1,及an→0（n→∞）,令Mann迭代序列｛Xn｝定义为证明了迭代序列｛xn｝强收敛于S的不动点q的充要条件是｜｜Txn｜｜有界。     

综合性大学师范类学生学习倦怠现状研究

本文用连榕等参照Maslach编制的《大学生学习倦怠调查量表》对师范类专业大学生进行问卷调查,旨在探讨综合性大学中师范类学生学习倦怠状况。结果表明：学生的学习倦怠处于中等程度。男生的学习倦怠程度显著高于女生;不同年级的学生在学习倦怠的各个维度上差异显著;不同专业学生学习倦怠状况差异显著,理科最为严重;城镇学生的学习倦怠程度和农村学生差异不显著。