图的谱半径的下界

设G=（V,E）是n阶简单图,di是图G的顶点vi（i=1,2,……,n）的度且d1≥d2≥…≥dn,Ni是图G的顶点vi的一个邻集,λ1是图G的邻接谱半径．本文证明了λ1≥√d1,等号成立当且仅当图G同构于K1,n-1。最后证明了当v1v2≠E时,λ1≥√d2＋｜N1∩N2;当v1v2∈E时,λ1≥√d2-1＋｜N1∩N2｜.     

团图为数的图中的闭团贯数

Given a graph G,a subgraph C is called a clique of G if C is a complete subgraph of G maximal under inclusion and |C|≥2. A clique-transversal set S of G is a set of vertices of G such that S meets all cliques of G. The clique-transversal number, denoted as TC (G), is the minimum cardinality of a clique-transversal set in G. The clique-graph of G, denoted as K (G), is the graph obtained by taking the cliques of G as vertices, and two vertices are adjacent if and only if the corresponding cliques in G have nonempty intersection. Let F be a class of graphs G such that F={G|K(G) is a tree}. In this paper the graphs in F having independent clique-transversal sets are shown and thus TC (G)/|G|≤1/2 for all G ∈ F.     

头孢匹胺治疗下呼吸道感染72例临床观察

将72例确诊为下呼吸道感染的患者随机分成2组,在常规治疗基础上,治疗组36例,静脉滴注头孢匹胺1g,每日两次;对照组36例静脉滴注头孢尼西2g,每日一次,两组疗程均为7～14天,观察两组的临床疗效.治疗组和对照组临床治愈率分别是94%和83%,总有效率分别为97%和88%,两组数据比较有统计学意义(P<0.05).结果表明头孢匹胺是第三代头孢菌素,安全抗菌活性强.在下呼吸道感染的治疗中疗效确切.     

一般岭估计与BLUE的一个新的相对效率

考虑了Gauss—Markov模型中未知参数向量p的最佳线性无偏估计的改进问题,对一般岭估计与BLUE进行了比较,给出了一般岭估计与BLUE的一种新的相对效率e,并导出了e的下界．     

关于一类函数级数一致收敛性的判别

对于函数级数,研究其和函数的解析性质很重要,但函数级数必须具有一致收敛性,而判断函数级数的一致收敛性往往是比较困难的.对∞∑n=1(-1)(n 1)u[a,b]上单调减少并收敛于0,则∑∞n=1(-1)(n 1)un(x)型函数级数就一致收敛.     

Maternal and fetal indicators of oxidative stress in various obstetric complications

The present study demonstrates the incidence of increased lipid peroxidation and protein oxidation in both maternal and fetal erythrocytes as markers of oxygen radical activity in different complications of pregnancy. In fetuses born after premature rupture of membranes, lipid peroxidation was significantly elevated as indicated by increased malondialdehyde levels (p<0.05) as compared to controls. Proteolytic activity in the erythrocytes of mothers in this group was also significantly high (p<0.01). In patients delivered by lower segment cesarian section, lipid peroxidation and proteolytic activity in maternal erythrocytes were significantly high (p<0.05 and p<0.001 respectively). In patients with prolonged second stage of labour, lipid peroxidation and proteolytic activity in maternal erythrocytes was significantly higher than in controls (p<0.001 and p<0.05 respectively). In this group, endogenous protein damage due to oxidative stress was significantly high both in the mother and the fetus (p<0.001 and p<0.05 respectively).     

夹逼准则与微分方程的上下解方法

引进微分方程上下解的概念,应用极限夹逼准则思想,以椭圆型偏微分方程为例,用上解与下解来夹逼证明了半线性椭圆型偏微分方程边值问题解的存在性。     

高校拓展训练项目设计模式解析

从拓展训练起源、被高校引入及开展的必要性谈起,详细阐述了高校拓展训练项目的设计依据、理论架构、项目设计思路和方向,为拓展训练理论研究和教学实践提供有价值的模式和依据,同时为教育体制改革提供一定的参考和借鉴。     

关于Smarandache函数的下界估计

运用初等及组合方法研究Smarandache函数在一些特殊值上的下界估计,给出了Smarandache函数的一个较强的下界估计,证明了S（2^P-1）≥14P＋l以及5（2^P＋1）≥14P＋1,其中P为任意素数且P≥17,从而改进了相关文献的结果。     

亚纯函数的一类值分布问题

本文利用笔者在文献[3]中构造的亚纯函数否定了一类特殊的亚纯函数退化为有理函数,同时用Albert Edrei在文献[4]中所构造的亚纯函数的性质否定了一个整函数的值分布问题推广到亚纯函数的可能.