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.     

A functional modulus of continuity for Brownian motion

In this paper, we prove a sharpening of large deviation for increments of Brownian motion in (p,r)-capacity and Hölder norm case. As an application, we obtain a functional modulus of continuity for (p,r)-capacity in the stronger topology.     

Well-posedness of a multidimensional free boundary problem modelling the growth of nonnecrotic tumors

In this paper we study a free boundary problem modelling the growth of nonnecrotic tumors. The main trait of this free boundary problem is that it is essentially multidimensional, so that its well-posedness is hard to establish by using the usual methods in the classical theory of free boundary problems. In this paper we use the functional analysis method based on the theory of analytic semigroups to prove that this problem has a unique local solution in suitable function spaces. Continuous dependence of the solution on the initial data and regularities of the solution can also be easily obtained by using the argument of this paper.     

概率神经网络和FTIR光谱用于食道癌的辅助分析

利用正常与相应癌化食道组织的主要FTIR特征峰aυs,CH3、sυ,CH2、σCH2、aυs,po4-、υc-o、sυ,po2-及sυ,磷酸化蛋白作为概率神经网络的输入向量,对网络的主要参数(网络径向基函数分布spread(0~5))、输入向量和网络表现(m ean accurate rate of recogn ition)之间的关系进行了研究。主要结论如下:i)无论输入向量是哪种特征频率的组合,其平均识别正确率都高于71.40%;ii)当输入向量为特征频率sυ,po2、sυ,磷酸化蛋白或υc-0、sυ,po2、sυ,磷酸化蛋白时,网络表现较佳,平均识别正确率较好。当spread介于1.4~2.3时,两者均达到网络具有的最高平均识别正确率(85.71%);iii)大多数情况下,网络的平均识别正确率与spread之间呈现二个高峰的特征,即spread介于0.1~0.3和1.5~5.0之间时,网络均具有较高的平均识别正确率。研究表明,以傅里叶变换红外光谱的主要特征峰为概率神经网络的输入向量,用于食道组织样品的癌化识别分析是完全可能的,其平均识别正确率可达85.71%。     

多值渐近φ-半压缩型映象三步迭代集合序列的强收敛性

利用新的分析方法,在任意实Banach空间中证明了具(随机性)误差的三步迭代集合序列强收敛于多值渐近Φ-半压缩型映象的不动点集．得到一些新的结论．     

A study of the polymerization of styrene initiated by K-THF-GIC system

In this paper, the polymerization of styrene initiated by potassium (K)-tetrahydrofuran (THF)-graphite intercalation compound (GIC) (K-THF-GIC) was studied. The mechanism of the polymerization was determined to be anionic polymerization according to its characteristics. The effect of the concentration of the initiator and monomer was studied. It was found that the polymerization mainly occurred on the surface and edge of the intercalated graphite. It was also shown that the polarity of solvent has little effect on the polymerization yield in this system.     

线性时滞系统实用稳定性的一个简明判据

利用比较的方法，获得了线性时滞系统实用稳定性的一个简单判定定理．     

健康促进对学龄前儿童铅中毒预防和控制的研究进展

综述了国内外学龄前儿童铅中毒的危害和防治现状,针对目前健康教育对降低铅暴露有效性的研究结果并不理想,而且部分研究尚存在设计缺陷的情形,提出了健康促进对学龄前儿童预防和控制铅中毒的必要性和科学根据。     

健康猕猴血液和毛发微量元素含量的正常值测定和差异比较

对猕猴(Macaca mulatta)血液和毛发的镁、锰、钼、镍、铅、铬、镉、锌、铁、铜、钙等11种元素的含量，用电感耦合高频等离子体发射光谱仪进行了测定．给出了各个元素在血液和毛发中的平均含量值和变动范围．指出毛发中的微量元素含量一般较血液为高，且变动较小．与人体内含量比较，猴毛发的Cu、Mo、CA、Ni的含量与人发接近；猴血液的Zn、Fe、Ca、Mn、Ca亦与人的接近．对猴血液微量元素含量随年龄、体重、性别变化及血液含量和毛发含量的相关关系进行了统计学检验．通过对测定值的比较分析，认为尽管动物体内的微量元素含量随种类、环境、个体差异变化较大，就群体平均含量而言，仍存在着相似的变化规律。本文的测定结果对了解猕猴对微量元素的需要提供了初步依据．