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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。

Chapters iii-xlii, 6, are poetical in form.

第三章至四十二,第6 ,是诗的形式。

The lecture contains 12 chapters for 2 semesters and includes information of materials basic features and properties such as Crystallography, Motion state of electrons in solids, Crystal structure, Semi-crystals and non-crystals, Phase diagram, Point defects and line defects, Plane defects and volume defects, Diffusion, as well as the basic principles of materials processing such as Solidification, Deformation and recrystallization, Solid transformation.

授课内容分十二章;涉及材料最基本的性质和特征(晶体学基础,固体材料中电子运动状态,晶体结构,非晶态与半晶态,相图、晶体中的点缺陷与线缺陷、面缺陷与体缺陷、扩散)以及材料成形过程涉及的基本原理(凝固、形变与再结晶、固态相变等)。

The dissertation is composed of five chapters: The introductory part discusses the research significance of the discipline institution of university, reviews the correlated research progress and the corresponding issues in existence, presents the research frame of the dissertation, and demonstrates the practicability and necessity of the research of the discipline institution of university from the perspective of the authority and regarding the control and grade as the point of tangency.

导言部分论述研究大学学科制度的意义,述评相关研究的进展及存在的问题,提出本论文的研究思路,论证以控制与分等作为切入点,以权力作为视角分析大学学科制度的可行性和必要性。

At the chapters of theory analysis,constitutive equation of dusty is deduced from the results of the experiment and related theories about oblique shock wave.after that relationship of parameters reflecting flow-field characteristic are deduced from theories of shock wave polar .The paper set up conservation equations depicting gas and solid flow-field by double fluid model,thus equations and constitutive equation of granular phase form closed equations.then the paper uses AUSNT vector splitting method to numerically calculate the equations.

理论部分主要包括:利用实验测试结果以及斜激波理论测试出该堆积粉尘的本构方程,然后利用和激波极曲线理论得到反映流场特征参数的变化曲线;本文还利用双流体模型,建立了描述气—固两相流动的守恒型方程组,与本构方程一起构成封闭方程组。

In order to pave way for the analysis in the 3rd and 4th chapters, 6 theories on capital market and economic growth are introduced, including effective market hypothesis, finance deepening theory, finance binding theory, regional growth polar theory, economic growth phases theory and regional exploration mode theory.

在第三章资本市场促进西部地区经济增长的机理分析中,遵循从微观到宏观的顺序,从企业、产业、区域经济三个层面阐述了资本市场作用于西部地区经济增长的作用机理,其中的区域经济层面实际上是对总体作用机理的论述。

In this paper, using REMPI-TOF technique, multiphoton dissociation/ionization of sulfur and carbon contained polyatomic molecule has been carried out. The mechanism ofmultiphoton dissociation/ionization was discussed, and some valuable results are obtained. The paper has six chapters.

本论文用共振增强多光子电离-时间飞行质谱等实验技术研究了二硫化碳、甲醇和乙醛分子的多光子解离或电离的动力学过程,对多光子解离或电离产物的产生机理进行了分析和讨论,得到了一些有意义的实验结果。

It should not be taught that these three chapters do not contain true narrations of facts, but only fables derived from the mythologies and cosmogonies of earlier peoples, purged of the polytheistic errors and accommodated to monotheism; or allegories and symbols, with no objective reality, set forth in the guise of history to inculcate religious and philosophical truths; or, finally, legends partly historical and partly fictitious put together for instruction and edification.

它不应该告诉我们,这三个章节,不包含真实的叙述事实,但只有寓言来自神话和cosmogonies以前的人民,整肃的polytheistic错误和安置到一神教;或寓言和符号,没有客观现实,在所列的幌子历史灌输宗教和哲学的真理;或,最后,传说中的部分历史和虚构的部分放在一起,为指导和启迪。

In the fifth, sixth and seventh chapters, resonance Raman spectra of porphyrin aggregates were studied.

第五章通过分析共振喇曼光谱和UV-Vis吸收光谱的实验和理论计算结果,研究了H〓TPPS〓〓单体和聚集体的基态与激发态的结构。

Programs written in C and C++ can be non-portable if written carelessly. Chapters 14 and 15 offer guidelines for writing portable programs in C and C++, respectively.

用C和C++写的程序如果写的不够小心,就会变得无法移植。14,15章分别对怎样用C和C++写可以移植的程序做出了指导。

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推荐网络例句

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了,但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场,你等着挨绳子吧!

Several theories about reigniting and extinguishing of the arc have been refered.

本文综合考虑了几种电弧重燃和熄灭理论。