群表示

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1，1)到经典实半单Lie群的调和映照的具体构造，并给出其显式表示；其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面，将这些映照所满足的几何条件转化为可积系统，然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造；最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

According to the point group symmetry,we introduce the quantity,representative patch,to represent the smallest equivalent patch on the surface offullerenes.

根据富勒烯的点群对称性，提出了代表区这一概念，用它来表示富勒烯多面体的表面上的最小等价块。

He says limited liability for corporations could also exist through contract: Corporations are not at all monopolistic privileges; they are free associations of individuals pooling their capital.

他表示公司的有限责任也通过契约而存在：企业并非全部都享有垄断特权，只是由一群人蓄积资本的自由团体。

The representation theory of simple Lie groups has now been established as one of the most useful tools in modern physics.

单纯李群的表示论已经成为研究现代物理学最有用的数学工具之一。

This despite the inherent inefficiencies: about two to five times more grain is required to produce the same amount of calories through livestock as through direct grain consumption, according to Rosamond Naylor, a professor of economics at Stanford University in California.

全世界种植的玉米和大豆却有大部分成了牛、猪、鸡群的饲料。加州史丹福大学经济学教授罗莎蒙？奈勒表示，尽管内含缺乏效率的层面，这种情况持续存在

This despite the inherent inefficiencies: about two to five times more grain is required to produce the same amount of calories through livestock as through direct grain consumption, according to Rosamond Naylor, a professor of economics at StanfordUniversity in California.

全世界种植的玉米和大豆却有大部分成了牛、猪、鸡群的饲料。加州史丹福大学经济学教授罗莎蒙？奈勒表示，尽管内含缺乏效率的层面，这种情况持续存在

On July 15, when Tan Qunzhao accepts relevant special report, express, the net swims the characteristic that the industry has recreational industry and high-tech industry, new technology and content emerge in endlessly, domestic network swims the tycoon of market rank front row should notice to maintain crisis sense.

7月15日，谭群钊接受相关专访时表示，网游产业具备娱乐产业与高科技产业的特点，新的技术和内容层出不穷，国内网游市场排名前列的巨头应注意保持危机感。

Cooperation has been the third time仔仔that is excited about the beginning, full of expectations, but soon feel the pain, tired, or even regret, resentment why they want to come to shoot this movie, because it seems that the process of filming " a group of self-torture maniac, constantly striving for perfection,"but now see the fruits of hard work, it was surging to begin filming in the process of memory bit by bit.

和蔡导已第三度合作的仔仔表示，一开始是兴奋，充满了期待，但是不久就感到痛苦、很累，甚至后悔、怨恨自己为什麼要来拍这部戏，因为拍摄的过程彷佛是「一群自虐狂，不断地在追求完美」，但是现在看到辛苦的成果，就会感到澎湃，开始回忆拍戏过程中的点滴。

Where HSG is the maximal subnormal subgroup of G which is contained in H.

其中HSG表示G包含在H中的最大的次正规子群。

Starting from symmetry properties of equation and considering the variable coefficient of the equation as a new dependent variable,a new general method to solve variable coefficient equation is proposed.

将非线性方程的变系数看作与实际物理场具有相等地位的新变量，利用普遍的经典李群方法可以求解某些特殊类型的变系数方程，其解由相应的常系数方程的解表示。

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。