查询词典 invariance

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

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。

They include:collinearity--an invariance under the projective transformation group;Parallelisminvariance under the affine transformation group;the direction of angles--aninvariance under the rotation transformation group.

这些几何不变性质包括共线性——在射影变换群下的不变性；平行性——在仿射变换群下的不变性；角的方向——在欧氏平移变换群下的不变性。

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 original Slashdot article had to do with the anomalous measurements of the muon magnetic moment that cannot be derived from modern theory, and could be further evidence that the Standard Model is invalid, and that the Lorentz invariance it takes for granted cannot be perfectly accurate.

文章中的斜线和小数点符号来自不规则muon的电磁动量测量，这些结果和现代理论不符！将来可以证明经典的模型是无效的，而被人们所认可的罗伦兹不变性也不是完全准确的。

It has been widely used in recent years, for it not only preserves several advantages of B-spline surface, especially the affine- invariance, but also has some special advantages such as adaptability to arbitrary topology which parameter surface doesn't have.

它不仅具备B样条曲面仿射不变性等良好性质，还具有参数曲面所没有的任意拓扑适应性等特点，因而近年来得到了广泛的应用。

This technology not only preserves the properties of localness and affine-invariance of B-spline surface, but also has some special advantages such as adaptability to arbitrary topology which parameter surfaces dont have. These good qualities makes subdivision surface used widely in recent years.

它不仅具备B样条曲面的局部支承性、仿射不变性等良好性质，而且具有参数曲面所没有的任意拓扑适应性等特点，因而近年来得到广泛的应用。

In addition, rotation invariance for the images with an axis of symmetry is developed by using a straight line filter.

此外，研究采用直条滤波器使系统在识别狭长主轴图像时具有旋转不变性。

This paper presents a fast algorithm based on the measured equation of invariance.Conformal meshes are made along the surface of two-dimensional scatterer.Renumbering of nodes changed the original sparse matrix into band one,and the consumption of computer memory and CPU time decrease from O(N2) to O.Via this new algorithm,electrically large problem can now be rapidly solved.

提要 本文基于不变性测试方程法提出一种快速算法，在二维散射体表面建立共形差分网格后，通过对节点的重新排序，将原问题中的稀疏矩阵变换为带状稀疏阵，从而使占用的计算机内存和计算时间均由O(N2)下降为O，可以解决原来无法计算的问题。

For Hu invariant moment having no scale invariance, two modified algorithms are proposed: one is based on the normalized central moment coming from the concept of image square and the other is based on constructing a new invariant moment.

主要贡献如下： 1。针对离散情况下Hu不变矩特征仅仅具有平移、旋转不变性，不具有比例不变性的问题，提出了两种改进算法：一种是从图像正方形概念演变而来的归一化中心矩的修正；另一种是重新构造新的不变矩特征。

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。