Comparison of octadecyl-bonded silica and styrene-divinylbenzene copolymer sorbents for trace enrichment purposes fundamental aspects II. Linear chromatographic behaviour of the extracting supports

Summary Two reversed-phase LC systems were investigated by frontal analysis for the determination of linear chromatographic conditions, as defined according to the isotherm concept. The Partisil ODS-3 bonded silica and the PRP-1 polystyrene-divinylbenzene resin were used as stationary phases together withtrans-2-hexen-al as test solute and methanol-water mixtures as mobile phases. Particular attention was paid to the respective influence of the two main parameters which may cause sorbent overloading, that is, the capacity factor (k′) and the solute concentration in the mobile phase (C_m). Provided that k′C_m≤10⁻² M, linear chromatographic behaviour was observed for both sorbents, the maximum capacities of which were found greater than 1mmolg⁻¹.     

On a class of least-element complementarity problems

The present paper studies the linear complementarity problem of finding vectorsx andy inR ₊ ⁿ such thatc + Dx + y 0,b – x 0 andx ^T (c + Dx + y) = y ^T (b – x) = 0 whereD is aZ-matrix andb > 0. Complementarity problems of this nature arise, for example, from the minimization of certain quadratic functions subject to upper and lower bounds on the variables. Two least-element characterizations of solutions to the above linear complementarity problem are established first. Next, a new and direct method to solve this class of problems, which depends on the idea of least-element solution is presented. Finally, applications and computational experience with its implementation are discussed.Research partially supported by the National Science Foundation Grant MCS 71-03341 A04 and the Air Force Office of Scientific Research Contract F 44620 14 C 0079.     

On the symmetric travelling salesman problem I: Inequalities

We investigate several classes of inequalities for the symmetric travelling salesman problem with respect to their facet-defining properties for the associated polytope. A new class of inequalities called comb inequalities is derived and their number shown to grow much faster with the number of cities than the exponentially growing number of subtour-elimination constraints. The dimension of the travelling salesman polytope is calculated and several inequalities are shown to define facets of the polytope. In part II (On the travelling salesman problem II: Lifting theorems and facets) we prove that all subtour-elimination and all comb inequalities define facets of the symmetric travelling salesman polytope.     

高能闪光照相中影响光程确定的几个因素

 利用闪光照相基本原理和成像原理，在直接记录法和转换屏记录法的情况下，研究了闪光照相中影响X射线在材料中光程确定的主要因素。结果表明，影响光程确定的几个因素是：散射效应、光源角分布效应、立体角效应和能谱效应。对于高能闪光照相，散射效应是影响光程确定的最主要因素，散射的存在使光程的测量值比实际值降低20%～40%。因此必须在做CT之前，对散射的影响进行修正。     

基于激光诱导击穿光谱(LIBS)的煤灰熔点快速检测

炉内结渣是影响火电机组和气化工艺可靠运行的关键因素之一,准确预测灰熔点可以提前调整炉膛出口温度以避免结渣。本论文采用激光诱导击穿光谱（LIBS）采集煤灰样中金属元素的光谱,分别建立煤灰中的金属元素的谱线强度与煤灰熔点的随机森林模型、支持向量机回归模型和线性回归模型,直接预测煤灰熔点温度。采用基于马氏距离(MD)的异常数据剔除算法和基于稀疏矩阵的基线估计与降噪算法（BEADS）,对粉煤灰样的全光谱数据进行了预处理。随机森林模型对粉煤灰熔点的预测平均相对误差（MRE）为54.74%,支持向量机回归模型的预测平均相对误差为60.08%,而线性回归模型的预测平均相对误差达到了9.78%。研究结果表明,线性回归模型对煤灰熔点的预测结果更准确。     

Application of scaled boundary finite element method in static and dynamic fracture problems

The scaled boundary finite element method (SBFEM) is a recently developed numerical method combining advantages of both finite element methods (FEM) and boundary element methods (BEM) and with its own special features as well. One of the most prominent advantages is its capability of calculating stress intensity factors (SIFs) directly from the stress solutions whose singularities at crack tips are analytically represented. This advantage is taken in this study to model static and dynamic fracture problems. For static problems, a remeshing algorithm as simple as used in the BEM is developed while retaining the generality and flexibility of the FEM. Fully-automatic modelling of the mixed-mode crack propagation is then realised by combining the remeshing algorithm with a propagation criterion. For dynamic fracture problems, a newly developed series-increasing solution to the SBFEM governing equations in the frequency domain is applied to calculate dynamic SIFs. Three plane problems are modelled. The numerical results show that the SBFEM can accurately predict static and dynamic SIFs, cracking paths and load-displacement curves, using only a fraction of degrees of freedom generally needed by the traditional finite element methods.The project supported by the National Natural Science Foundation of China (50579081) and the Australian Research Council (DP0452681)The English text was polished by Keren Wang.     

粗糙线性空间

将粗糙集思想引入到线性空间。提出线性空间中子集的上近似和下近似的概念,给出上、下粗线性子空间与上、下粗不变子空间的概念,讨论粗糙集线性空间的有关性质。     

甘肃马衔山和田玉化学成分分析和产地判别研究

甘肃马衔山和田玉具有重要的宝玉石价值和考古文化价值,其中产地区分为甘肃马衔山和田玉的研究重点.通过测试分析马衔山和田玉的化学成分,对比其与国内主要产地和田玉的化学成分差异,建立微量元素产地判别模型,对甘肃马衔山和田玉的产地鉴别进行探究,为甘肃齐家文化中古玉器溯源提供数据支撑.以电子探针分析甘肃马衔山和田玉的主量元素,结...     

花生种子品质的可见-近红外光谱分析

利用600～1 100 nm波段研究花生品种的可见-近红外反射光谱,对选取的三种具有代表性的花生种子进行实验。使用近红外光纤光谱仪采集光谱数据,对原始光谱进行小波分析以提取光谱特征,再用主成分分析方法进行聚类分析,最后把每一个样品的前4个主成分得分作为识别模型的输入,品种类别作为模型的输出,以马氏距离作为判别函数,建立了线性判别分析模型。对于每个品种的50个样品,随机挑选30个样本作为训练集,剩余的20个样本作为预测集。该识别模型对3个花生品种的平均正确识别率为95%。表明该方法能有效的识别花生种子,得到较好的分类效果,为花生种子品质的区分和鉴别提供了一种新方法。     

代际流动性的地区差异及影响因素—来自中国的微观证据

代际流动性是测度社会不平等的重要指标,区域发展不平衡则是中国的客观现实。运用人口普查数据和中国城市年鉴,可发现中国现阶段代际流动性的三个特征：（1）全国层面的代际收入弹性为0.673。（2）代际流动性呈现出显著的地区及城市差异,沿海、北方的代际流动性明显高于内陆及南方。代际收入弹性最低的省会城市是天津（0.107）,最高的是江西南昌（0.686）;地级市分别是山东莱芜（0.124）和云南丽江（0.76）。（3）具有以下特征的地区具有更高的代际流动性：沿海及经济发达地区,高校更多、中小学教育投入更多的地区,非少数民族聚集地,革命老区。从微观机理上分析代际流动性的地区差异,可以为中国区域平衡发展政策提供理论依据。