关于二重极限的某种定义的一个注记

本文考虑二重极限的某种定义的缺陷.     

基于仓单质押融资的物流企业与银行的演化博弈分析

物流企业与银行之间的良好合作关系是物流金融业务继续发展的前提和基础。以仓单质押融资业务为例,运用演化博弈理论对物流企业与银行之间的监督包庇问题进行了分析,构建复制动态方程和运用动态相位图分析群体策略的演化过程及结果,为建立良好的合作关系提供理论依据。分析结果表明:该动态系统的演化方向受到博弈支付矩阵以及系统的初始状态的影响。银行监督成本、银行的收益损失、物流企业的包庇成本和物流企业的罚金是影响演化结果的关键性因素。通过外部力量的加入,可促使系统演化至(不包庇,不监督)这一期望演化稳定策略。     

K/n(G)系统可靠性评定的多源验前信息融合方法

在多源验前信息的情况下,以k/n(G)系统为例,讨论了如何对系统的可靠性指标进行估计的问题.在多个验前信息源给出了系统可靠性指标点估计的情况下,利用多层Bayes方法及经验Bayes方法对这些数据进行融合,并给出系统可靠性指标的Bayes点估计,同时对系统可靠度的置信区间也作了讨论.仿真算例表明这种处理方法是合理有效的.     

岩土工程位移时间序列的组合预测研究

将组合预测方法用于岩土工程位移时间序列预测.结合实际观测数据,分别建立位移时间序列预测的GM(1,1)模型、Verhulst模型和趋势曲线模型.采用极小误差法确定各单一模型的权重,建立组合预测模型.应用表明,组合预测的精度高,为岩土工程位移预测提供了一种实用、可靠的方法.     

Banach空间中Mann迭代和Ishikawa迭代的等价性问题

用不同于已有的方法证明了任意实Banach空间中一致Lipschitz强连接伪压缩算子在具误差的修正的Mann迭代和具误差的修正的Ishikawa迭代下收敛和稳定的等价性,其中迭代参数{βn}仅需lim sup n→∞βn〈k/L（L＋1）,这推广和改进了目前需假设lim n→∞ βn=0和两迭代程序初始点的取值需相同条件下的已有结果.     

驻波情形的液体声光效应的理论与实验研究

模拟计算了液体声光衍射的贝塞尔函数,测量了不同质量分数NaCl溶液对激光的衍射效率和不同温度纯水对激光衍射的相对光强比,计算了不同质量分数NaCl溶液的声光相位延迟、声致折射率变化量幅值.结果表明:随着NaCl溶液质量分数的增加,声光衍射效率、相对光强比、声致折射率变化量幅值均不同程度下降,而温度对纯水的相对光强比影响很小.     

Attenuation correction for dedicated breast PET using only emission data based on consistency conditions

Accurate attenuation correction is required in dedicated breast PET imaging systems for image artifact removal and quantitative studies. In this study, a method using only emission data based on consistency conditions is proposed for attenuation correction in breast PET imaging systems. The consistency conditions are exploited to evaluate the accuracy of the estimated attenuation distribution and find the appropriate parameters that yield the most consistent attenuation distribution with the measured emission data. We have proved the validity of the method with experimental investigations and single-patient studies using a dedicated breast PET. The results show that the method is capable of accurately estimating the attenuation distribution of a uniform attenuator from the experimental data with various relatively low activities. The results also show that in single-patient studies, the method is robust for the irregular boundary of breast tissue and provides a distinct improvement in image quality.     

Multi-Slit Diffraction of Evanescent Electromagnetic Waves

The well-known Fraunhofer multi-slit diffraction is described as the multi-slit interference modulated by the singleslit diffraction, namely the multiplication between the single-slit diffraction factor and the multi-slit interference factor. By considering the simplified argument we show that the multi-slit diffraction of evanescent waves which are in the near-field region also has the interference and diffraction effects, and that this two-fold effect can be expressed as the convolution of the diffraction factor and the interference factor. Our conclusion could be helpful to understand the contribution of evanescent waves to the optical responses of sub-wavelength structures such as slits and grooves.     

细胞色素P450 2E1催化下乙醛羟基化反应动力学同位素效应的理论研究

采用建立在Eyring绝对反应速率理论基础上的计算模型,对细胞色素P4502E1催化下乙醛羟基化反应动力学同位素效应进行了理论研究.计算表明,乙醛羟基化反应的动力学同位素效应大小约为5.0(Wigner量子校正后约为7.0左右),远比烷烃羟基化反应的动力学同位素效应要小的多.这个反应对温度比较敏感,所以反应存在明显的量子隧穿现象.文中还对动力学同位素效应给出了相应的过渡态构型方面的解释.     

Synthesis of Caffeic Acid Sulphonamide Derivatives and Preliminary Exploration of Their Biological Applications

Structural modification of native compounds is an effective way to develop new drugs with increased pharmacological activities and improved material characteristics. In this study, caffeic acid sulphonamide derivatives(CSs) were synthesised by conjugating sulphonamides to the backbone of caffeic acid. The structures of these derivatives were elucidated by means of Fourier transform infrared spectroscopy(FTIR), ¹H NMR, ¹³C NMR, and electrospray ionization mass spectroscopy(ESI-MS). A content determination method was established by ultraviolet detection. The lipophilicity, 2,2-diphenyl-1-picrylhydrazy free radical(DPPH) scavenging capacity, anti-coagulant effects, anti-bacterial activity, cytotoxicity, in vitro anti-proliferative activity against tumour cells, and the ability of the compounds to promote the proliferation of chondrocytes were evaluated. The results indicate that CSs exhibit strong DPPH scavenging activity, high lipophilicity, good anti-coagulant activities, wide anti-bacterial activity range, low cytotoxicity, and an excellent ability to promote chondrocyte proliferation.