群表示

Besides the species of streptococcus, pseudomonas, proteus and coliform bacteria have also been indicated as of bacterial folliculitis causes.

除了种链球菌，绿脓杆菌，变形和大肠菌群也已表示为细菌性毛囊炎的原因。

Finally, based on the fundamental solutions of Biots consolidation of transversely isotropic saturated multi-layered soils, the Fredholm integral equation of second kind for the interaction between transversely isotropic saturated multi-layered soils and rectangular piles is established, the relevant numerical analysis is also carried out.

最后，基于横观各向同性层状饱和地基Biot固结问题的基本解答，建立了横观各向同性层状饱和地基与方形单桩、群桩共同作用问题的第二类Fredholm积分方程，并进行了数值分析与计算；通过将矩形刚性基础基底划分成若干个大小相等的矩形网格，用矩形均布荷载表示网格的基底反力，并利用已获得的横观各向同性层状饱和地基Biot固结问题的基本解来求解每个矩形网格的柔度系数，然后根据刚性基础与层状饱和地基的接触条件和其本身的静力平衡条件，求解分析了横观各向同性层状饱和地基与刚性矩形板的共同作用问题。

In the first part of this paper, we give a matrix representation of a Galois group.

中文摘要：文章的第一部分给出了Galois群的一个矩阵表示。

We know that the solutions of quadratic, cubic and quartic can be expressed by radicals. As to the solution of the quintic which has became an issue for past two or three hundred years, it was not solved until 1832 a great young Mathematician of French named Galois who recommended group theory that proved a polynomial of degree 5 and over 5 can't be solvable by radicals.

中文摘要我们知道二次、三次及四次的方程式都可以用根式表示，至於五次方程式的解迟迟无法解决，这个问题持续了两三百年，直到1832年，一位法国青年Galois在其决斗前夕，在他的遗书中，这位伟大的青年数学家引进了群的理论，证明了：五次及五次以上的方程式，不可能有公式解。

Besides the above main work of this thesis,we also do some other work related to the electroweak chiral Lagrangian,for instance we calculate the contributions to the oblique correction parameters S,T and U from heavy fermions and scalars in some generic representations of the electroweak gauge group.

除上述这些本论文工作的主要部分之外，我们还做了一些与电弱手征拉氏量相关的其它工作，例如我们计算了处于电弱规范群的一些一般表示的重费米子和重标量场对oblique修正参数S，T和U的贡献。

In noncommutative scalar field theories, the appearing of nonplanar diagrams is related to permutation symmetry of field functions in the interaction Lagrangian, while in NCQED we can not arbitrarily change the positions of field functions in the interaction Lagrangian because different positions of the field functions correspond to different representations of the gauge group.

这里需要特别指出的是NCQED的非平面图产生的原因与非对易标量场根本不同，非对易标量场非平面图的产生是和相互作用拉氏量密度中场函数间位置的置换对称性有关，而在NCQED中我们不能随便交换相互作用拉氏量密度中场函数的位置，因为场函数的不同位置对应着规范群的不同表示。

This PhD dissertation is on the polynomial representations of the general linear group GL_n and related topics.

这是一篇研究一般线性群GL_n的多项式表示及相关课题的博士学位论文。

Also, we can present the geometric representation of biological sequences and structures. So the genometric topology and group theory are important also.

同样我们可以用几何方法来表示生物序列和二级结构，几何拓扑和群论也发挥了很大的作用。

Based on the relationship between the structure and function, a lot of research have been performed on predicting base-pair which is indispensable to the RNA three-dimensional strcutrue. The tools and methods in Combinatorics and Statistics will play important roles in studying linear sequences of biomolocular units . Similarly, we can present the geometric representation of biological sequences and structures. So the genometric topology and group theory are important also.

根据RNA的结构与功能的关系，在预测碱基配对的类型方面进行了相当多的研究，这也是确定RNA三维构象的必不可少的一部分，组合学和统计学的工具和方法在研究生物序列和生物结构上起到了很大的作用，同样我们可以用几何方法来表示生物序列和二级结构，几何拓扑和群论也起到了很大的作用。

Ladies and Gentlemen, on behalf of all the guests from China, I want to say a huge thank you to Professor Charles Cao Quin as his success in Grimsby over 20 years ago accomplished the success of future generation of Chinese young men and young women and made today's event possible.

女士们、先生们：让我代表所有的中国来宾，在这里向我们引为自豪的曹群先生表示感谢！他二十年前在格里姆斯比的成功，成就了今天一批中国青年的未来。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。