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This result is a generalization of the Chevalley basis in case a simply-laced complex simple Lie algebra. Meanwhile, it generalizes also the corresponding Chevalley forms in case affine Lie algebras and 2- extended affine Lie algebras.

该结果是simply-laced复半单李代数情形下Chevalley基的推广，同时也是仿射李代数和2-扩大仿射李代数的相应Chevalley结构形式的推广。

If A is D-simple, i. e., A doesn't have any nontrival D-stable ideal, we have the generalized Weyl type simple algebra A .

Der为A上所有F-结合导子组成的李代数。D为Der的任一非零交换李子代数。

In part 1, some basic statistical concept and algebra operations are reviewed, simple regression and multiple regression models are introduced.

本课程将提供学生如何应用实际的资料，建构适当的模型，以及进行模型推估结果的检定，主要内容包括三个部分；1。

Finally, by using a semi-open quadrature rule, the singular integral equations were transformed to algebra equations.

最后，由位错密度函数得到各裂纹分支端的应力强度因子值。

This paper analysised and researched some existing algebra feature extraction method such as KL transformation, singular value decomposition、 Fisher linear discriminant and optimal discriminant transformation. On the base of this、we expound a method which named uncorrelated optimal discriminant transformation to accomplish the face recognition.Uncorrelated optimal discriminant transformation is a improvement of Fisher linear discriminant and optimal discriminant transformation.

本文对一些现有的代数特征提取方法如KL变换、奇异值分解、Fisher线性鉴别以及最佳鉴别变换做了分析和研究，在此基础上我们提出使用具有统计不相关最佳鉴别变换的投影方法来进行人脸识别，它是由Fisher线性鉴别和最佳鉴别变换改进、完善而来的。

SVD can reflect the algebra character of the image effectively, and then through SVD operation on vehicle image matrix which includes singular value dimensionality reduction and singular value vector compositor, the feature subspace for recognition is established.

奇异值分解是基于代数特征的特征提取，经过对车辆图像矩阵的奇异值分解，再经过奇异值降维压缩和奇异值矢量排序，最后建立了用于识别的特征子空间。

Vector is an important mathematical tool for the study, the method is the use of vector algebra vector solution to the issue of three-dimensional geometry of a convenient method, space vector as the new content, in dealing with space issues have considerable advantages space than the original problem to deal with more flexibility.

向量是数学研究的一种重要工具，向量的方法是使用向量的代数方法去解决立体几何问题的一种便捷的方法，空间向量作为新加入的内容，在处理空间问题中具有相当的优越性，比原来处理空间问题的方法更有灵活性。

With the development of science and project technology, more and more questions need the solution of big linear systems. This solution is one of the fastest ways for researching numerical algebra, especially for the big sparse matrix.

随着科学和工程技术的发展，越来越多的问题需要求解大规模的线性方程组，对这类方程的快速求解已成为数值代数研究的热点之一，特别是具有稀疏结构的大型方程组的求解。

Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics.

角动量：算符，对易代数，本征值和本征态，球谐函数。

Following the constraint of AMFI on the SGS stress model, a non-linear SGS stress model is developed, based on the tensor algebra and Taylor expansion theory, in terms of resolvable strain rate tensor and rotation tensor.

根据旋转湍流SGS模型的建模规则，利用张量代数和Taylor近似理论发展了一种由大涡应变率和旋转张量构成的非线性SGS应力模型，并满足AMFI条件。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。