Sequential Convergences on Boolean Algebras Defined by Systems of Maximal Filters

We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novak sequential envelope to such algebras.     

Reduction of Time-Dependent Systems Admitting a Superposition Principle

The problem of differential equation systems admitting a nonlinear superposition principle is analyzed from a geometric perspective. We show how it is possible to reduce the problem of finding the general solution of such a differential equation system defined by a Lie group G to a pair of simpler problems, one in a subgroup H and the other on a homogeneous space. The theory is illustrated with several examples and applications.     

Geometric Integration of Ordinary Differential Equations on Manifolds

This article illustrates how classical integration methods for differential equations on manifolds can be modified in order to preserve certain geometric properties of the exact flow. Projection methods as well as integrators based on local coordinates are considered. The central ideas of this article have been presented at the 40th anniversary meeting of the journal BIT.This revised version was published online in October 2005 with corrections to the Cover Date.     

有机污染物在碳纳米管吸附的定量结构-性质关系

对一系列共59个芳香性分子进行了HF/6-31G^*水平上的结构优化,并在优化结构上进行了分子静电势及其导出参数的计算,应用多元线性回归方法建立了碳纳米管吸附有机污染物的平衡常数与分子结构间的定量关系. 结果表明,分子表面静电势参数（V_min、σ₊² 和ΣV_ind⁺）结合分子表面积（S）和最低空轨道能级（ε_LUMO）可以很好地用于构建碳纳米管吸附的定量结构-性质关系（QSPR）模型. 模型中引入的参数均具有明确的物理意义,其合理性可以从污染物与碳纳米管或水分子间相互作用的角度进行解释. 模型的稳定性和预测能力经“留一法”和Monte Carlo 交叉验证法进行了确证. 本文亦采用支持向量机（SVM）、最小二乘支持向量机（LSSVM）和高斯过程（GP）等三种方法建立了上述参数与碳纳米管吸附性质的非线性模型. SVM和LSSVM模型表现出强的拟合能力,但预测能力明显不如其他模型. GP模型无论是拟合能力还是预测能力都是最佳,但并没有明显地优于线性模型,说明对本文研究体系而言,其分子结构与性质间的关系主要以线性形式存在.     

在线分析己烷中痕量四氢呋喃的气相色谱柱系统研究

 根据 30万t乙烯工程“橡胶”装置中生产工艺控制的实际需要 ,研究了在线分析己烷中痕量四氢呋喃的气相色谱柱系统。使用自制的 7μm特厚膜甲基硅氧烷大孔径弹性石英毛细管柱 ,通过试验不同条件下色谱柱的分离特性及研究组分在柱内的运动轨迹 ,给出了总的柱切换时间程序。在上述基础上 ,完成了正己烷、环己烷中 10 -6(体积分数 )级的四氢呋喃分析。现场应用一年多的实践表明 ,所研制的柱系统从分析时间、运行稳定性、定量准确性 (相对标准偏差小于 5 % )等方面均满足工艺控制的要求。     

镀镍液中镍的在线分析研究

基于硫酸镍溶液的光谱吸收特征,采用双波长双通道流动注射分光光度法测定镀镍液中镍的含量。借助计算机控制,实现了镀镍液中镍的在线分析,能满足生产工艺分析的要求。     

TiO2光催化降解4-氯苯酚过程中的电分析监测

采用循环伏安法和紫外光谱法对有机物的光催化降解进行机理研究和在线监测.以标准光催化剂DegussaP25在紫外光照射下催化降解4-氯苯酚,发现在降解过程中至少有两对氧化还原中间产物对苯二酚-苯醌和羟基氢醌-羟基苯醌.由4-氯苯酚及中间产物的电极响应,可以观测到它们在光催化降解过程中的含量变化,从而对整个过程实现在线监测,并由此全面了解光催化反应机理.从不同反应时间后测得的紫外光谱可以看到,苯环特征峰逐渐消失.这表明4-氯苯酚的苯环逐渐被打开,直至被彻底降解.     

Aluminium ions at polyelectrolyte interfaces. I. Mechanism of polyacrylic acid/aluminium oxide and humic acid/kaolinite complex formation

Understanding adsorption phenomena involving humic acids and clays is a difficult challenge owing to their complex nature. Thus, to progress in the study of such systems, attempts were made to replace natural systems by polyacids and oxides of simpler chemical and morphological structure. Since the present investigation was dedicated to determine some characteristics of acidic soils which contain traces of aluminium ions, these ions were added to the adsorbent/polyacid systems as trace constituents. Phenomena related to the interactions of humic or polyacrylic acid with aluminium oxide and kaolinite clay have been investigated and the well-differentiated interfacial behaviour of the oxide and kaolinite was determined and discussed. The results of electrophoretic mobility measurements demonstrated the huge time-dependent effect of polymeric layers adsorbed on oxides and modified clays. Received: 24 July 2000 Accepted: 20 December 2000     

Nonmonotonic pattern of the critical percolation temperature due to variations of additive chain length in water-in-oil microemulsions

The nonmonotonic variation of the critical percolation temperature (T _c) of ternary nonionic (C₁₄E₅) water-in-oil microemulsions was studied as a function of the alkyl chain length of an ionic additive (n-alkyl sulfonate sodium salt). A thermodynamic approach shows the relationship between T _c and additive chain length, which is supplemented by a consideration of a possible molecular mechanism of the observed phenomenon. Received: 20 October 2000 Accepted: 7 November 2000     

一种变温非线性粘弹性理论

实验表明,在高温下,某些金属材料呈非线性粘弹性：对不同的应变增量,材料有不同的瞬时弹性模量,所产生的应力沿不同的松弛曲线松弛。该了表述材料这一力学行为的变温非线性粘弹性本构方程,它可用于在高温和变温下工作的构件（如模具）的变形计算。