查询词典 group representation

The result which could be verifried to confirm the unitary nature and orthonormality is got. So it proves that the EFM is correct and concise on the representation theory of group.

计算结果表明所得母分系数满足幺正性、归一性，证明了本征函数法处理群论问题的正确性和简洁性。

In Chapter 3,we classify a binary-coded individual space equivalently withthe help of the ideals of Boolean algebra and analyze the search capabilitiesof a new kind of algebraic crossover operator in these equivalence classes,thenprovide the algebraic representation of a type of genetic algorithms by usingthe permutation group,therefore we can derive a lot of new forms of geneticalgorithms.

第三章运用Boole代数的理想将二进制编码的个体空间进行等价分类，分析了一类代数杂交算子在这些等价类上的搜索能力；然后利用置换群给出一类遗传算法的代数表示，由此导出多种新形式的遗传算法，并给出其中两类算法形式的收敛性结果。

For such physical characteristics as race and gender of black women, black women autobiographical texts reveal multiple selves and the representation of self as a group.

因女性身份、肤色原罪等群体特征，黑人女性自传揭示了多重自我、呈现了"我"与"我们"的代表与被代表关系。

The new-generation directors describe the growth experience of the youth in the process of a changing society. As a result, the films display a representation of the group image of the youth. The thesis is based on psychoanalyst Lacans theory of mirror image.

本文引用精神分析学家拉康的"镜像"理论，对90年代以来的青春影像的具体影像文本进行分析，梳理影像对年青一代成长经历的青春叙述，进而折射出新一代电影人的成长诉求。

With a representation of the rotation group induced by the anti-commutative, self-inverse matrices the transformations named by Foldy-Wouthuysen, Cini-Taschek,Chakrabarti and the others are treated from a unified viewpoint. A new transforma-tion is found. Some applications of this method in the eigenvalue problems are demon-strated.

我们找出了由反易自逆矩阵荷载的转动群表示，统一地推广处理了Foldy-Wouthuysen，Cini-Tauschek，Chakrabarti等提出的各种变换；建立了一个几何图像，借助于它可以很容易地找到所要求的交换；举例说明了这方法在本征值问题中的应用。

The aim of this book is to provide a concise yet thorough treatement of some topics from group theory and representation theory with which every mathematician should be well acquainted.

奈曼是现代统计学领域的泰山，他是这样的一位科学家，他的个性和活力构成了其整个科学活动的不可或缺的一部分。

In practice, democratic states have granted a variety of group-differentiated rights, such as exemptions from generally applicable laws, special representation rights, language rights, or limited self-government rights, to different types of groups.

事实上，民主国家已授予不同类型的团体各式各样的团体差异权，譬如对普遍适用法的豁免、特殊代表权、语言权，或有限的自治权。

Based on the mean spherical approximation integral equation theory, perturbation theory and group contribution concept, a new molecular thermodynamic model was established for the representation of activity coefficient of solvent in the IL-containing systems.

利用平均球近似积分方程理论、微扰理论以及基团贡献的基本思想，本文建立了一个适用于含离子液体体系中溶剂活度系数计算的新的分子热力学模型。

In addition, the concept of scene centriod is introduced to represent video scene by averaging of all key frames inside a group of shots in the given video scene, which makes an audacious attempt for high-level video unit extraction and representation;4 According to the given sample video, shot and scene-based video retrieval methods are discussed respectively, and the evaluation pricinples are also discussed.

进而，讨论了由场景中一组镜头的关键帧的质心表示场景关键帧，即场景质心的方法，从而为抽取高层的视频数据单元做出了大胆的尝试； d 从给定样本视频出发，分别讨论了基于镜头和场景的视频检索方法，并分析了检索性能评价的准则。

On the basis of analysis of representation, research conditions and authors cultural background, this study selected the Arhorchin Banner of Inner Mongolia as study area and Arhorchin Mongols as research object of the study ethnic group, aimed to understand the contents, structure and value of Arhorchin Mongolian ethnobotanical knowledge.

本项研究旨在分析具有代表性、可供研究条件和研究者文化背景的基础上，选择内蒙古自治区阿鲁科尔沁旗为研究地区，对阿鲁科尔沁蒙古族为研究人群，运用随机访谈、半结构访谈、结构访谈、语言分析和植物学调查等民族植物学研究的方法，对阿鲁科尔沁蒙古民族植物学知识的内容、特征和价值进行了定性和定量的调查研究。

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。