强预不变凸函数的充要条件

本文讨论了强预不变凸函数与预不变凸函数、严格预不变凸函数及半严格预不变凸函数之间的关系,得到它的三个充要条件：(i)在一定条件下,f是强预不变凸函数的充分必要条件是f是预不变凸函数且f满足中间点强预不变凸性；(ii)在一定条件下,f是强预不变凸函数的充分必要条件是f是严格预不变凸函数且f满足中间点强预不变凸性；(iii)在一定条件下,f是强预不变凸函数的充分必要条件是f是半严格预不变凸函数且f满足中间点强预不变凸性．     

Colossal magnetoresistance manganites: A new approach

Manganites of the LA_1−x Ca _x MnO₃ family show a variety of new and poorly understood electronic, magnetic and structural effects. Here we outline a new approach recently proposed by us, where we argue that due to strong Jahn-Teller (JT) coupling with phonons the twofold degeneratee _g states at the Mn sites dynamically reorganize themselves into localised, JT polaronsl with exponentially small inter-site hopping, and band-like, nonpolaronic statesb, leading to anew 2-band model for manganites which includes strong Coulomb and Hund’s couplings. We also discuss some results from a dynamical mean-field theory treatment of the model which explains quantitatively a wide variety of experimental results, including insulator-metal transitions and CMR, in terms of the influence of physical conditions on the relative energies and occupation of thel andb states. We argue that this microscopic coexistence of the two types of electronic states, and their relative occupation and spatial correlation is the key to manganite physics. Dedicated to Professor C N R Rao on his 70th birthday     

The Essential Component of the Solution Set for Vector Equilibrium Problems

In the paper, by using Ky Fan’s section theorem, we obtain an existence theorem for vector equilibrium problems. Motivated by the ideas of Kinoshita and McLennan, we introduce the concept of the essential component of the solution set for vector equilibrium problems, and we prove that there exists at least one essential component of the solution set for every vector equilibrium problem satisfying some conditions. Research was partially supported by the Natural Science Foundation of Guangdong Province, P. R. China.     

Algorithms for finding proper essential surfaces in 3-manifolds

In this paper, we present an algorithm which, for a given compact orientable irreducible boundary irreducible 3-manifold M, verifies whether M contains an essential orientable surface (possibly, with boundary), whose genus is at most N. The algorithm is based on Haken’s theory of normal surfaces, and on a trick suggested by Jaco and consisting in estimating the mean length of boundary curves in an unknown essential surface of a given genus in the given manifold.     

四川乌龙茶香气化学成分的剖析

四川乌龙茶在低温减压蒸馏所得香气浓缩物经气相色谱-质谱联用测定,以气相色谱保留值验证,鉴定出19个化合物,它们是:丙酮,乙酸乙酯,顺-3-己烯醇-[1],乙酸顺-3-己烯酯,苯甲醇,反-芳樟醇氧化物(呋喃型),顺-芳樟醇氧化物(呋喃型),芳樟醇,苯乙醇,反-芳樟醇氧化物(吡喃型),丁酸顺-3-己烯酯,香叶烯,己酸顺-3-己烯酯,茉莉酮,橙花叔醇,金台欢醇,茉莉酮酸甲酯,正十六烷和2,6,10,14-四甲基十五烷。     

羰基铁催化黄樟油素、丁香酚异构化反应的研究——Ⅰ.异黄樟油素、异丁香酚的合成

本文报道了异黄樟油素、异丁香酚的新合成途径,即在羰基铁光催化下或多核羰基铁加热催化下,使黄樟油素、丁香酚异构化。其转化率几乎是定量的。反应产物经GC,GC/MC分析及UV,IR,NMR,折光率的鉴定,证明合成过程中发生了异构化反应,而且产物以反式异构体为主。     

气固射流床射流深度的研究

在３００×５１×２６００ｍｍ的二维射流床中，采用多路毕托管测试系统，对包括三种双组份混合物在内的五种物料的射流深度进行了考察。结果表明，射流管径、射流气速对射流深度都有影响，本文尤其考察了环隙气量与射流深度的关系，发现在同样的射流气速下，环隙气速增大则射流深度降低，得出了综合各种影响因素的关联式。     

目标因子分光光度法同时测定中成药复方五味子中三项活性成分

将目标因子分光光度法应用于五味子提取液中五味子甲素、五味子乙素、五味子醇甲等三项活性成分的同时测定,介绍了基本原理和具体的分析步骤,运用计算机VC 语言对试验数据进行回归分析。试验结果表明,目标因子分光光度法对样品各组分的平均回收率在98.9%-106.7%之间,样品不经分离即可同时测定。     

DNA与目标分子相互作用的预测性研究

以量化的分子结构参数和实验结果为依据, 运用模式识别技术、多元线性回归和人工神经网络研究了目标分子与DNA相互作用的主要影响因素, 建立了准确性较高的2个键合常数预测模型和1个作用模式预测模型. 初次量化的分子结构参数有21种, 经过筛选发现其中的10种参数对相互作用有显著影响. 研究结果可为抗癌药物的分子设计和筛选提供有价值的信息.