| 1. | Such a group of formation is briefly referred to as a transformation group .
这样一个变换的群，称为变换群。 |
| 2. | Finite subgroups of some fractional linear transformations groups
一类分式线性变换群的有限子群 |
| 3. | Congruent transformation group
全等变换群 |
| 4. | We will use this theory to classify joint invariants and joint differential invariants of some transformation groups
我们将利用该理论对一些特殊变换群的联合不变量、联合微分不变量进行分类。 |
| 5. | The first part deals with the construction of semisymmetric graphs and the second part classifies the edge - transitive regular coverings of the cube , whose covering transformation groups are iso - morphic to the elementary abelian p - groups
第一部分是关于半对称图的分类，第二部分是关于立方体边传递的正则覆盖图的分类，其覆盖变换群同构于初等交换p -群。 |
| 6. | To handle this problem , a novel adaptive filter for orientation parameter design technique is proposed in this thesis according the theory of one - parameter transformation group . an algorithm for the convolution of this filter and an image is also given
为了解决这个问题，本文基于变换群理论提出了一种方向自适应滤波器的设计方法；给出了这个滤波器与图像卷积的算法。 |
| 7. | With this method , in the present thesis , we will classify all the connected regular covering graphs of the cube satisfying the following two properties : ( 1 ) the covering transformation group is isomorphic to the elementary abelian p - group ; ( 2 ) the group of fibre - preserving automorphisms acts edge - transitively
本文中，我们用同一种方法分类立方体的正则连通覆盖图，并且满足两个条件，覆盖变换群同构于初等交换p -群且保纤维自同构群是边传递的。 |
| 8. | Thus , in this paper invariant features for image retrieval are investigated . we have research of many invariant features and two new methods are proposed to extract rst ( rotation scaling and translation ) invariant features by combining the integral invariant and the scale invariant keypoints extractor technique
本文研究了基于不变特征进行图像检索的算法,并结合对几何变换群的积分不变量构造原理和尺度不变特征点的提取原理,提出了两种新的旋转、平移和尺度不变特征(即rst不变特征)提取方法,并把这些特征应用于图像检索中。 |
| 9. | The characteristics of different boundary conditions are evaluated . by applying the approach of the transformation of lie group , the exact analytical solutions of the non - linear consolidation equation is obtained under different initial and boundary conditions . based on this solution , the differences between that of large and infinite strain consolidation theories are analyzed
运用变换群的方法求得了某些条件下大应变固结方程的完整解析解答，在此基础上与相同条件下的小应变固结论理做了比较，并通过对实例的计算，分析了不同假设条件下一维固结理论之间的差异。 |
| 10. | For a given finite connected graph f , a group h of automorphisms of f and a finite group a = z , du , kawk and xu ( see [ 6 ] ) get some new matrix - theoretical characterizations to classify all the connected regular coverings of f having a as its covering transformation group , on which each automorphism in h can be lifted
设为有限连通图， h为它的自同构群的一个子群， a为给定一个初等交换p -群。杜少飞， kawk和徐明曜用矩阵的方法将的正则连通覆盖图进行了分类，其中以a作其为覆盖变换群，并且h可提升。 |
