Tandem Reaction of Deprotonation-Oxidation-Wittig Reaction: Stereoselective Synthesis of (E)-α,β-Unsaturated Enoates

Ｓｉｎｃｅｉｔｓｄｉｓｃｏｖｅｒｙ ,Ｗｉｔｔｉｇｒｅａｃｔｉｏｎｈａｓｂｅｃｏｍｅｏｎｅｏｆｐｒｉｍａｒｙｍｅｔｈｏｄｓｆｏｒｔｈｅｆｏｒｍａｔｉｏｎｏｆｃａｒｂｏｎ ｃａｒｂｏｎｄｏｕｂｌｅｂｏｎｄｓａｎｄｂｅｅｎｗｉｄｅｌｙｕｓｅｄｉｎｔｈｅｓｙｎｔｈｅｓｉｓｏｆｎａｔｕｒａｌｐｒｏｄｕｃｔｓ .1,2 Ｒｅｃｅｎｔｌｙ ,ｉｔｗａｓｆｏｕｎｄｔｈａｔｐｒｉｍａｒｙａｌｃｏｈｏｌｓｃａｎｕｎｄｅｒｇｏｔｈｅｔａｎｄｅｍｒｅａｃｔｉｏｎｏｆｏｘｉｄａｔｉｏｎ Ｗｉｔｔｉｇｒｅａｃｔｉｏｎｗｉｔｈｐｈｏｓ…     

三角债的模糊矩阵表示和关系划转的数学模型

给出债务关系的模糊矩阵表示,用其幂运算判定间接债务关系存在性,最后给出债务关系划转的方法,可作为三角债分析和相关问题解决的技术工具.     

Self-assembly of Gold Nanoparticle Chains between Nanoelectrodes

Nanodevice applications of metal or semiconductor nanoparticles depend on the techniques to assemble them into ordered one-(1D) and two-dimensional (2D) arrange- ments1,2. In particular, 1D arrangements of nanoparticles are not only the basis for fabricat…     

反应挤出接枝共聚反应表观链增长常数的测量

以预辐照的LLDPE反应挤出接枝MAA作为研究对象，通过在双螺杆挤出机中的不同部位取样，用FFIR分析接枝物及均聚物的产量，并用ESR测试链增长自由基浓度，设计了测定接枝和均聚反应初始阶段的表观链增长常数的方法,结果表明，在本实验测试范围内表观接枝链增长常数不同于均聚链增长常数；所得的测量值符合理论预测值，证明测试方法适合高温熔融体系的研究。     

Transformation Operators for the Perturbed Hill Difference Equation and One of Their Applications

We construct transformation operators with conditions at infinity for the perturbed Hill equation. We give one application of transformation operators to studying solutions of some nonlinear difference equation.     

Relaxation time for a dimer covering with height representation

This paper considers the Monte Carlo dynamics of random dimer coverings of the square lattice, which can be mapped to a rough interface model. Two kinds of slow modes are identified, associated respectively with long-wavelength fluctuations of the interface height, and with slow drift (in time) of the system-wide mean height. Within a continuum theory, the longest relaxation time for either kind of mode scales as the system sizeN. For the real, discrete model, an exactlower bound ofO(N) is placed on the relaxation time, using variational eigenfunctions corresponding to the two kinds of continuum modes     

模糊层次分析法及其在优化建材连锁配送方案中的应用

本文首先说明模糊ＡＨＰ方法是在传统的ＡＨＰ方法的基础上，考虑到人们对复杂事物判断的模糊性，提出程度分析和综合决策理论，并介绍了模糊ＡＨＰ方法的主要理论及步骤。最后把它用于建材连锁配送系统模式的评价，可将专家对诸方案指标体系所进行的带有模糊性判断，通过定量计算，转化为对连锁配送系统模式的排序，从而达到选优的目的。     

Catalytic‐chain‐transfer polymerization of styrene revisited: The importance of monomer purification and polymerization conditions

The cobaloxime‐mediated catalytic‐chain‐transfer polymerization of styrene at 60 °C was studied with an emphasis on the effects of monomer purification and polymerization conditions. Commonly used purification methods, such as column chromatography and simple vacuum distillation, were not adequate for obtaining kinetic data to be used in mechanistic modeling. A purification regime involving inhibitor removal with basic alumina, followed by polymerization of the styrene in the presence of the cobaloxime and subsequent vacuum distillation, was found to be essential to this end. It was then possible to quantitatively investigate effects such as the initiator concentration and conversion dependencies of the apparent chain‐transfer constant that resulted from the occurrence of cobalt–carbon bond formation. A value of about 9 × 10³ was found for the true chain‐transfer constant to cobaloxime boron fluoride, that is, its value in the absence of cobalt–carbon bond formation. Furthermore, previous predictions were confirmed: the measured chain‐transfer constant decreased with increasing initiator concentration and conversion. Finally, it was confirmed that the presence of light increased the amount of free Co(II) catalyst in agreement with other studies. © 2003 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 41: 752–765, 2003     

分布式配送系统在运输时间均匀分布条件下的性能分析

本文在运输时间不确定的前提下，对分布式配送系统在两个部件和最终产品早到无限制的情形下建立了随机优化模型。我们在极小化库存费用的同时以满足定时送货要求为目标，讨论了如何确定运输提前期，并给出了敏感性分析结果。     

Typical Changes in Spectral Properties under Perturbations by a Rank-One Operator

We show that under perturbations by a rank-one typical operator, a fixed eigenvalue loses one Jordan block of maximal order, while the orders of the other Jordan blocks remain unchanged. We construct the first-order perturbation theory for the new eigenvalues and the zero-order approximations to the corresponding eigenvectors.