关于图的第二特征标R2(G)

对任意图G，h(G，x)表示图G的伴随多项式，R2(G)表示图G的第二特征标，本文刻画了R2(G)=-2，-1，0，1，2的全部连通图。     

论住宅户型设计

为适应现代人居住观念的变化，结合设计工作的实践，分别就住宅户型设计中的户内空间序列以及起居室、卧室、厨房、卫生间的设计理念、设计原则和有关具体问题进行了探讨。     

一类按学生素质优劣排序的数学方法

用模糊学方法定量评定了学生的综合素质，并按素质的优劣给学生进行了排序，这里是将数学方法引入教学管理的初步尝试。     

Specific anti-tumor effect induced by attenuated Salmonella typhimurium vaccine expressing extracellular region of vascular endothelial growth factor receptor 2

The purposes of this research were to study the stable expression of exogenous gene encoding therapeutic protein in attenuated Salmonella typhimurium, observe the metabolism of oral gene vaccine carried by attenuated Salmonella typhimurium in BALB/c mouse, and investigate the feasibility of prevention and treatment of tumors by the recombinant bacteria. Recombinant plasmid pcDNA3.1 VEGFR2(n1-7) was transformed into competent attenuated Salmonella typhimurium SL3261 to develop oral DNA vaccine SL3261-pcDNA3.1 VEGFR2(n1-7). To observe whether the exogenous gene can be expressed in the recombinant bacteria, PCR was performed to amplify the CMV promoter of the eukaryotic expression vector as the proof of stable expression of exogenous protein; transmission elec- tron microscopy (TEM) was applied to observe the morphology of the recombinant bacteria to confirm that the exogenous gene has no impact on the growth of the bacteria, and then BALB/c mice were immunized with the gene vaccine. After inoculation of the gene vaccine, the recombinant bacteria SL3261 could be detected in the tissues such as small intestine, colon, liver and spleen. And then, mice in each group were challenged with tumor cells. The results of animal experiment showed that tumor growth of the mice in experimental group was inhibited and survival time of immunized mice was prolonged compared with control groups. A higher lymphocyte infiltration in tumors from animals treated with DNA vaccine was observed. Immunohistochemical analysis of tumor samples revealed an en- hanced accumulation of CD8 cytotoxic T lymphocytes, as well as an increase in CD4 cells in the tumors of animals treated with the oral gene vaccine compared to tumors from control group mice. Ultrastructure of the tumor tissue showed that tumor cells in the samples of the immunized mice were well-differentiated. Our research confirmed that the exogenous gene can be stably expressed in the attenuated Salmonella typhimurium and has no impact on the growth of the recombinant bacteria; the exogenous gene can de delivered to the host by attenuated Salmonella typhimurium to produce anti-tumor effect with no obvious cytotoxity to the host. In this study, it is established that attenuated Salmonella typhimurium could be used as a vector for oral gene vaccine, and our study provided a theoretical basis for the body distribution and the metabolism of the recombinant bacteria. This strategy may provide a simple, safe and effective way for the prevention and treatment of tumors.     

椭圆偏振光理论中一个问题的证明

本文从椭偏光合矢量旋转角速度Ω的表达式出发，对只有沿椭圆长、短轴方向的椭偏光合矢量间的相位差才为的难点给出了证明     

矩阵序列与多重线性多项式

引入矩阵序列的概念，研究了一般环上矩阵环的多重线性多项式。     

Sasakian空间形式中具有平行平均曲率向量的C-全实子流形的刚性定理

讨论了Sasakian空间形式中具有平行平均曲率向量的C-全实子流形,得到了紧致的C-全实子流形的一个刚性结果.     

普遍的洛伦兹变换式的两种推导方法

给出了由特殊洛伦兹变换式到一般洛伦益变换式的两种推导方法．     

相对论带电粒子经典多体问题

为建立相对论经典等离子体统计力学作准备，讨论了相对论带电粒子经典多体问题，重点分析相对论流线分布函数和动力学方程组。     

A Study of Evaluation System of Restricting Factors in Training Students‘ Qualities

This paper studies evaluation system of restricting factors in training students' qualities by modern mathematical method of analysis hierarchy process and principal factor analysis, and to build up a mathematical model of evaluation system.