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The key concepts are "isomorphism" and "symmetric isomorphism" which are used to describe the relation between two search domains, the key results are "Structure Theorem","Isomorphism Theorem" and "Isomorphism Classification Theorem".

核心的概念是非常重要的用于描述搜索域之间相互关系的"同构"与"对称同构"，核心结果是"结构定理"，"同构定理"和"同构类定理"。

Flowers radially symmetric, bisexual, sometimes cleistogamous.

花辐射对称，两性，有时闭花受精。

The spring is made from a material and is so configured and arranged that it has a symmetric spring rate for clockwise and counter-clockwise rotation.

弹簧由一定的材料制成，并构造并设置成在顺时针和逆时针旋转方向上具有对称的弹簧刚度。

Moreover, it is proved by means of a totally different method that every central symmetric closed convex curve admits an inscribed square.

进而用全新的方法证明了每一个中心对称的闭凸曲线均能内接一个正方形。

In section 7,we give a way to construct even dimensional symmetric self-dual Liealgebras from the point of view of cohomology.

在最后一节中，我们从上同调的观点，给出了偶数维对称自对偶李代数的一种构造方法。

This article presented a new fast algorithm of Moore-Penrose inverse for an m×n symmetric Loewner-type matrix with full column rank by forming a special block matrix and studied its inverse. Its computation complexity was O+O(n^2), but it was O(mn^2)+O(n^3) by using L(superscript +)=L(superscript TL^(-1)L.

论文通过构造特殊分块矩阵并研究其逆矩阵，给出了秩为n的m×n对称Loewner矩阵Moore-Penrose逆的快速算法，该算法的计算复杂度为O+O(n^2)，而通过L=L(上标 TL^(-1)L计算的复杂度为O(mn^2)+O(n^3)。

Then,a new fast algorithm of the minimal norm least squares solution for linear system whose coefficients is an m×n symmetric Loewner matrix with full column rank is given by forming a special block matrix and researching the triangular factorization of its inverse.

对于工程计算中常常遇到的一类线性方程组的求解，通过构造特殊分块矩阵并研究其逆矩阵的三角分解，给出了求秩为n的m×n阶对称Loewner矩阵为系数阵的线性方程组，及极小范数最小二乘解的快速算法，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

In this paper, for m× n Loewner-type matrix or symmetric Loewner-type matrix with full column rank, we form special block matrix firstly and research their triangular factorization or of its inverse, and then get the fast algorithm of the minimal norm least squaresolution .

本文对于秩为n的m×n阶Loewner型或对称Loewner型矩阵L，通过构造特殊分块矩阵并研究其逆的三角分解或自身三角分解，进而得到了线性方程组Lx=b的极小范数最小二乘解快速算法，计算复杂度为O+O(n~2)，而一般方法的计算复杂度为O(mn~2)+O(n~3)。

All of the research results can be widely applied in various aspect of social practice, and provide a good research way and method for combinatorial optimization problem with parameter and inverse symmetric transportation problem, promote the research of network programming design, help to get farther research results, enrich the theory treasury of systems engineering.

这些研究成果可以广泛应用于社会实践的各个方面，并为含参数的组合优化问题的研究、组合优化问题的逆问题的研究提供了一个很好地研究思路和方法，推动了网络规划设计方法的研究工作，有助于取得进一步的研究成果，丰富系统工程理论宝库。

Combined with skew-symmetrization condition in matrix theory, a class of stable systems with sign-skew symmetric structure is proposed, and is regarded as the objective of controller design. There are two methods to implement the design.

摘要结合矩阵论中的可反对称条件，提出一种稳定的具有符号反对称结构的系统，并将其作为非线性系统的镇定控制目标。

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。