Hilbert空间中非扩张映象的最近的公共不动点的逼近问题

本文在Hilbert空间的框架下,研究无限族非扩张映象T_1,T_2,…的迭代程序x_n+1=λ_(n+1)y+(1-λ_(n+1))T_(n+1)x_n的收敛性问题．在适当的条件下,证明了该迭代序列收敛于这一非扩张映象族的最近的公共不动点．其结果改进和推广了引文中相应的结果．     

9-蒽醛衍生化-高效液相色谱法拆分α-氨基酸甲酯和几种脂肪胺对映体

采用高效液相色谱法,以9-蒽醛为衍生试剂,在5种多糖衍生物的手性固定相(CSPs)上对几种α-氨基酸甲酯对映体进行了手性分离。色谱条件如下: 流动相为含3%～10%(v/v)异丙醇的正己烷溶液,流速为1.0 mL/min,检测波长为254 nm。结果表明,α-氨基酸甲酯-9-蒽醛亚胺衍生物在Chiralcel OD柱或Chiralcel OD-H柱上的手性分离结果优于其他CSPs,而且在Chiralcel OD柱或Chiralcel OD-H柱上全部得到了基线拆分(α=1.24～5.47, Rs=2.56～13.90), L-对映体在这两种色谱柱上的保留强于D-对映体。同时还考察了几种脂肪胺在5种多糖衍生物手性固定相上的对映体拆分效果,结果表明脂肪胺的9-蒽醛亚胺衍生物在Chiralcel OD柱或Chiralcel OD-H柱上的分离效果良好。该法可用于其他α-氨基酸酯和胺类化合物对映体的分析。     

Viscosity method for hierarchical fixed point and variational inequalities with applications

A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions are sought in the set of the fixed points of another non-expansive mapping. As applications, we use the results to study problems of the monotone variational inequality, the convex programming, the hierarchical minimization, and the quadratic minimization over fixed point sets.     

Ab initio study of superoxide anion—water clusters O2 − (H2O)n=1-5

The structures, energies, Spectra, and charge transfer to solvent (CTTS) energies of the hydrated superoxide anion clusters have been investigated using both density functional calculations (DFT) with Becke-3-parameters employing Lee-Yang-Parr functionals (B3LYP) and second-order M?ller Plesset perturbation (MP2) calculations employing highly diffuse basis sets. Given the good agreement of our predicted results with the experimental spectra and enthalpy, it would be interesting if the CTTS energies could be experimentally determined.     

裂变碎块角分布与鞍点结构

从Jacob和Wick所推导的具有自旋粒子的散射矩阵元一般表示式出发,采用适当近似后,分析了中子引起Th²³⁰,Th²³²,U²³⁴,U²³⁶,U²³⁸裂变的阈能附近碎块角分布的实验数据。分析结果说明:1)阈能附近碎块角分布可以用裂变是通过鞍点上少数转动带(每一带具有确定的宇称)来解释;2)这些转动带与Nilsson的渐近能谱图所预言的基本上一致。同时利用对称裂变鞍点比非对称裂变鞍点高的观点,讨论了裂变碎块角分布各向异性与质量比之间的关系。     

四碘化钛-三異丁基铝催化体系制备顺式-1,4-聚丁二烯——Ⅰ.催化剂的活性和聚合物的性质

研究了丁二烯在苯中有四碘化钛-三异丁基铝催化剂的存在下的聚合。发现这一催化体系的活性取决于Al/Ti比和聚合温度。对每一四碘化钛用量出现一具有最高活性的“临界Al/Ti此”;低于这一Al/Ti比,活性完全消失;高于这一Al/Ti比则活性逐渐降低(图2)。 增加Al/Ti可以减慢聚合速度而不影响最终转化率(图3);因此,可以利用Al/Ti来控制这一聚合反应以防止反应混合物的积热现象(图4)。 这一催化体系的优点是不论在任何条件下,包括催化剂组成(例如Al/Ti)和聚合条件(例如温度),聚合物都不合凝胶,而顺-1,4-结构含量总能在90％以上(表2)。 聚合物的分子量取决于两个主要因素:四碘化钛用量和聚合温度;增加四碘化钛用量和升高聚合温度都降低分子量(图5和图6)。Al/Ti对分子量的影响则不甚明显(图6)。 用这种催化剂制得的顺-1,4-聚丁二烯的分子量分布很窄(图7);因此,虽然这是一个非均相催化体系,它的活性中心可能比较单纯,大概不会含有多种活性中心。     

在铅板里发生的电子光子簇射

关于把电子光子簇射的实验与理论相比较的工作,还是非常的少。我们在用云雾室研究穿透簇射和星芒的过程中,也获得一些电子光子簇射的照片。从中选择了适合于研究条件的一部分,加以分析,与理论作比较。     

A Comparison of Residual-stress Measurements Using Blind-hole, Abrasive-jet and Trepan-ring Methods

This article describes the results of residual-stress measurements which were made on an artillery-projectile metal part to determine whether the state of the stress could be a factor in promoting a failure that had occurred during ballistic test firing. An additional objective of the work was to evaluate the suitability of several different methods for measuring residual stresses by the performance of these measurements on the same metal part.     

Optical Properties of Zinc-Blende InGaN/GaN Quantum Well Structures and Comparison with Experiment

Optical properties of zinc-blende InGaN/GaN Q W structures are investigated using the multiband effective-mass theory. The transition wavelength values at 300 K ranged from 440 to 570nm in the investigated range of the In composition and the well width. The theoretical wavelengths show reasonable agreement with the experimental results. The optical gain decreases with the increasing well width. This is mainly due to the reduction in the quasi-Fermi-level separation because the optical matrix element increases with the well width.     

Spectral Analysis of Social Networks to Identify Periodicity

Two key problems in the study of longitudinal networks are determining when to chunk continuous time data into discrete time periods for network analysis and identifying periodicity in the data. In addition, statistical process control applied to longitudinal social network measures can be biased by the effects of relational dependence and periodicity in the data. Thus, the detection of change is often obscured by random noise. Fourier analysis is used to determine statistically significant periodic frequencies in longitudinal network data. Two approaches are then offered: using significant periods as a basis to chunk data for longitudinal network analysis or using the significant periods to filter the longitudinal data. E-mail communication collected at the United States Military Academy is examined.