Kersten-Krasil’shchik耦合KdV-mKdV方程的达布-贝克隆变换

从矩阵形式的线性系统出发, 构造了Kersten-Krasil’shchik耦合KdV-mKdV方程的达布变换和相应的贝克隆变换, 并由一对达布-贝克隆变换的相容性得到了非线性叠加公式.     

随机容错设施选址问题的原始-对偶近似算法

研究两阶段随机容错设施选址问题,其中需要服务的顾客在第二阶段出现（在第一阶段不知道）．两个阶段中每个设施的开设费用可以不同,设施的开设依赖于阶段和需要服务的顾客集合（称为场景）．并且在出现的场景里的每个顾客都有相同的连接需求,即每个顾客需要由r个不同的设施服务．给定所有可能的场景及相应的概率,目标是在两个阶段分别选取开设的设施集合,将出现场景的顾客连接到r个不同的开设设施上,使得包括设施费用和连接费用的总平均费用最小．根据问题的特定结构,给出了原始。对偶（组合）3-近似算法．     

Sample conditions to avoid pH distortion in RP‐LC

Band deformations might take place for acids and bases in preparative applications and adsorption studies where it is necessary to use overloaded injections. In this study, we focus on how deformations can be prevented without using highly concentrated buffers that may precipitate in the eluent. We have systematically investigated how the elution zones depend on which protolytic form the analyte has when it is dissolved. Basic and acidic model compounds are investigated using eluents with different pH values and the resulting elution profiles are compared when the analytes are dissolved in their protonated and deprotonated form, i.e., in uncharged form or as different kinds of salts. Depending on the analyte's protolytic form, a sample zone is created at the column inlet whose pH deviates, more or less, from the bulk eluent's. If the local adsorption strength in this sample zone is greater than the bulk eluent's, the elution profiles are compressed. Under opposite conditions, the eluted bands are more or less deformed and may even be split; completely different deformations can even take place for different kinds of salt combinations. Explanations of these, and other, effects, together with detailed guidelines for proper sample preparation to avoid peak deformations, are given.     

The approximation properties via the Grothendieck p‐compact sets

A stronger form of compactness, which is due to Grothendieck's criterion of compact sets in Banach spaces, generates an approximation property which is formally weaker than the classical approximation property. In the paper, we investigate this approximation property in a more general setting.     

A MULTI-GRID ALGORITHM FOR MIXED PROBLEMS WITH PENALTY BY C°-PIECEWISE LINEAR ELEMENT APPROXIMATION

In this paper we describe a multi-grid algorithm for mixed problems with penalty by the linear finite element approximation. It is proved that the convergence rate of the algorithm is bound ed away from 1 independently of the meshsize. For convenience, we only discuss Jacobi relaxation as smoothing operator in detail.     

Planar motion and stability for a rigid body with a beam in a field of central gravitational force

Planar motion for a rigid body with an elastic beam in a field of central gravitational force was investigated, and both of the orbital motion and attitude motion were under consideration. The equations of motion of the system were derived by the variational principle, and on view point of generalized Hamiltonian dynamics, the sufficient conditions for the stability of one class of relative equilibria were given by the energymomentum method.     

齐次平衡法若干新的应用

齐次平衡法是求非线性发展方程孤波解的一种有效方法．该文将以KdV方程为例把齐次平衡法向三个方面拓广应用：1）获得非线性发展方程新的具有更为丰富形式的精确解;2）寻找非线性发展方程的Backlund变换、Lax表示;3）求非线性发展方程的对称性约化和相似解．     

线性规划中一个避免人工变元的方法

文章讨论了线性规划中人工变元问题，且给出一种避免人工变元有效的并且有可能较简便的方法。     

Real-Time Characterization of Fibrinogen Interaction with Modified Titanium Dioxide Film by Quartz Crystal Microbalance with Dissipation

The adsorption of fibrinogen can be used as a quick indicator of surface haemocompatibility because of its prominent role in coagulation and platelet adhesion. In this work the molecular interaction between fibrinogen and a modified titanium oxide surface/platelet has been studied by quartz crystal microbalanee with dissipation （QCM-D） in situ. In order to further characterize the conformation of adsorbed fibrinogen, αC and γ-chain antibody were used to check the orientation and denaturation of fibrinogen on solid surface. QCM-D investiga- tions revealed the fibrinogen have the trend to adsorb on hydropllilic surface in a side-on orientation by positively charged αC domains, which would reduce the exposure of platelet bonding site on γ chain and enable less platelet adhesion and be activated. These obser- vations suggest that certain conformations of adsorbed fibrinogen are less platelet adhesive than others, which opens a possibility for creating a non-platelet adhesive substrates.     

甲基二苯乙炔基硅烷及其网络聚合物的合成与表征

以苯乙烯为原料合成的苯乙炔和甲基二氯硅烷在有机镁试剂中反应, 合成了甲基二苯乙炔基硅烷(MDPES)单体. 通过高效液相色谱分离技术获得了纯度高于 99.9%的 MDPES, 并用 FTIR, C NMR, H NMR, MS 和元素分析进行 13 1了表征. 在较高温度下, MDPES 可以交联形成网络聚合物, 为此通过 DSC 和 FTIR 跟踪了交联反应, 证明 MDPES 的交联反应包括 Si—H 键与 C≡C 键间的加成反应和分子中的 C≡C 键间发生的 Diels-Alder 反应. 交联后的 MDPES 网络聚合物具有优异的耐热性, 在空气中的 Td5高达 568 ℃, 介电损耗 tan δ 为 2.47×10-3(1×106 Hz).