不变性

G., absolute stability and huper-stability analysis of nonlinear systems.

摘要传递函数的严格正实不变性分析，由于它在绝对稳定性分析中的重要作用，引起了人们的重视。

To extract shaft orbit\'s features invariant to rotation, scaling and translation, the unique strengths of Haar orthogonal matrix type are found, the horizontal and vertical coordinates of shaft orbit are fast proceeded by Haar transform, respectively, and the slopes with different resolutions are obtained at different positions by using the corresponding transform coefficients, and then the multi-resolution angles between the adjacent slope straight line are extracted skillfully and used for the hierarchical recognition, the recognition process accords with the principle of human\'s recognizing things by using hierarchy analysis approach.

为提取轴心轨迹平移、旋转、尺度不变性特征，本文挖掘出Haar正交矩阵在图形识别中的独特优点，引入Haar正交矩阵分别对轴心轨迹的横、纵坐标进行快速变换，并利用变换后的对应系数得到轴心轨迹不同位置不同分辨率下的斜率，继而推求出相邻斜率直线之间的多分辨率夹角，所获夹角用于轴心轨迹的分层识别，其识别过程符合人类识别事物层次分析的规律。

We study a polygon representation composed by the vertex angles and ratios of adjacent edge lengths, which is invariant to geometric transformations such as translation, rotation and scaling. The polygon is globally represented by a scale-invariant intrinsic matrix.

提出了由顶点转角和相邻边长比例构成的多边形伸缩内在量表示的方法，多边形从整体上由一个伸缩内在矩阵来表示，该表示方法具有平移、旋转和伸缩等几何不变性。

Compared with the invariant features of single parameter group, entirely global affine invariant features are more applicable, and chapter 4 introduces a new global affine invariant feature extraction method called EC-ARC, which is based on the invariance in affine geometry.

然后，提出了扩展质心(Extended Centroid， EC)和仿射区域划分(Affine Region Cutting， ARC)的新概念，并在EC和ARC的基础上，结合仿射几何性质，提出了构造具有完全仿射不变性的特征提取方法EC-ARC。

SIFT（Scale Invariant Feature Transform） local feature is chosen because of its scale invariance and the property of accurate key-point localization.The Euclidean distance between different SIFT feature vectors is defined as the measure of similarity to get the pre-matched key-point pairs.The affine transform model is used to realize the registration.In order to get the accurate affine transform parameter,the principal of affine transform error is used to get rid of mismatched key-point pairs from the pre-matched pairs.

该方法选取具有良好尺度、旋转不变性以及精确特征点定位能力的SIFT局部特征，使用其特征向量间的欧氏距离作为相似性度量进行特征点匹配，并依据仿射变换误差准则去除奇异匹配特征点对，采用仿射变换的几何模型，实现了遥感图像的快速自动配准。

The feature has invariant character for translation, rotation and scale, and some degree of tolerance for affine transformation.

此特征不但具有二维的平移、旋转和尺度不变性，同时对由仿射变换引起的形变也具有一定容忍度。

All these descriptors are not only robust to illumination change, but also robust to affine transformation and image blurring.

这些颜色不变性描述子不仅具有对图像光照变化的鲁棒性，而且还具有对图像几何变化以及图像模糊的鲁棒性。

By presupposing the system uncertainties satisfying certain matching conditions, a sliding-mode switching manifold and a SMC law are proposed, which are invariable to the structural uncertainties and possess the parameters without stochastic noise. Then, the accessibility of the sliding mode and the stability of the closed-loop system are analyzed, and some necessary conditions are further obtained to select the parameters for the SMC law.

在系统的不确定性满足一定匹配条件的情况下，构造了对不确定性具有不变性以及参数不含噪声激励的滑模切换流形和变结构滑模控制律，分析和证明了滑模的可达性和闭环系统的稳定性，并给出了滑模控制律的参数选择条件。

In this thesis, we first discuss the origin of the non-Galilean invarianceterm in the usual effective one gluon exchange q-q interaction and.

在本文中，我们首先讨论了等效的单胶子交换势中的非伽利略不变项的起源，并指出将伽利略不变性作为相互作用。。。

Part II of this paper studies the structure of symmetric self-dual Lie algebras.

假设李代数g带有一个与Killing具有相同性质的型B，即具有双线性性，非退化性，对称性和不变性，由于这样的李代数g的伴随表示与它的余伴随表示等价，我们称李代数g为对称自对偶李代数，称型B为它上的一个不变数积。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。