最小价格稳定匹配

本文讨论的最小价格稳定匹配,推广了Gale-Shaplay匹配,在人事管理,物资分配等部门有着较广泛的应用背景。本文展示了这个问题的数学模型,论证了它的最优解的存在,并提出了一个多项式时间算法来计算它的最优解。     

伪复空型的分解与分类

主要研究具有平行ｆ－结构的伪复空型的分解及分类问题。     

沉淀法制备超微粒过程中反应物浓度对样品粒度的影响

通过沉淀法制备了Ｆｅ３Ｏ４超微粒样品，应用ｘ－ｒａｙ衍射仪及透射电子显微镜对样品进行了测试分析，对制备样品过程中反应物浓度对超微粒样品粒度的影响进行了研究。     

Wigner分布算法及其在轴承故障诊断中应用

本文根据非平稳带通信号的特点,改进了Classen的Wigner分布算法,克服由离散计算引起的混叠问题.应用三维、二维Wigner分布图对轴承故障进行特征分析,并且研究结果在实例分析中显示出一些优越性.     

水泥体系最佳粒度特性的研究

通过实验测定水泥体系的粒度分布和主要性能，探索水泥体系的粒度特性与粒度分布及主要性能的关系，提出水泥体系的最佳粒度特性的参考值。指出在水泥的矿物组成和化学组成不变的条件下，优化水泥颗粒的特征粒径和均匀度系数，可获得水泥胶砂抗压强度增长和电耗合理的实际效果。     

分子量分布对聚丙烯力学性能的影响

研究了分子量及其分布对注射成型聚丙烯样条的密度，结晶度、拉伸性能、冲击性能的影响，不同分子量与分子量分布的聚丙烯样品由化学控制降解制得，用数学方法分析了实验数据与分子量分布之间的量化关系。     

脑电信号的现代谱分析技术

脑电信号是非平稳随机信号，它的频域特性的正确表达及精度，相位信息的提取，瞬态波形分析是当前ＥＥＧ信号处理研究中的３个热点问题，本针对以上问题讨论了谱参量分析，双谱分析以及时间－频率域分析的原理，方法，并给出一些ＥＥＧ信号处理的研究结果。     

带有讨厌参数的经验似然比置信区间

在许多情况下，形如θ０＝ＥＨ（Ｘ，μ）是人们所感兴趣的参数，这里Ｈ（·，·）是一已知在Ｒｄ×Ｒｋ上的连续实函数，其中，μ∈Ｒｋ是一讨厌参数，利用经验似然比泛函给出了θ０的经验似然比置信区间，属非参数方法，但其结果却类同于参数下的Ｗｉｌｋｓ定理和Ｏｗｅｎ的工作，同时给出了一些有用实例．     

关于次线性算子与幂权的一点注记

证明了满足某种最小尺寸条件的次线性算子的一些幂权模不等式。     

Analysis of the relationship between age of larvae at mutagen treatment and frequency and size of spots in the wing somatic mutation and recombination test inDrosophila melanogaster

The relationship between the induction of mutant clones and the time of mutagen treatment was studied in the somatic mutation and recombination test (SMART) in wing cells ofDrosophila melanogaster. Larvae trans-heterozygous for the recessive marker mutations multiple wing hairs (mwh) and flare (flr) were produced. Batches of these larvae were then treated with mutagen at different ages spanning all three larval instars. Methyl methanesulfonate was fed acutely for 2 h by immersing the larvae in a solution of the mutagen mixed with powdered cellulose. Wings of the surviving adult flies were mounted and scored for the presence of spots. The frequency and size of single and twin spots were recorded separately. Twin spots are produced exclusively by mitotic recombination, whereas single spots can results from various types of mutational and exchange events. There exists a clear correlation between time of induction and frequency as well as size of the single spots. In young larvae only few but very large spots are induced, whereas in older larvae the frequencies are considerably increased but the sizes are smaller. The twin spots show a different relationship. Practically no twin spots are found in very young and in very old larvae. The results demonstrate that in the wing spot test the optimal age of the larvae for mutagen treatment is 72 h.