标准正交的

The new method has two key steps: one is to get the automorphism group of HEm, and the another one is to introduce the concept of semi-Reinhardt domain and get its complete orthonornal system.

关键之处有两点：一是给出第三类华罗庚域的全纯自同构群，群中每一元素将形为(W，Z0)的内点映为点(W*，0)；二是引进了semi—Reinhardt的概念并求出了其完备标准正交函数系。

By applying elementary transformation,this paper obtains a new method to search for a normal orthogonal basis in Euclid space, it also gives a procedure by which the fewer third elementary transformations are enough to realize this method.

导出用初等变换法求Euclid空间的标准正交基的方法，并进一步获得了只需进行较少次数的第三种类型的初等变换就能实现这一方法的结果。

The representation of all the solutions for the equation Lv=f is obtained through constructing a standard orthogonal basis of null space N.

通过构造零空间的一组标准正交基，得到了线性算子方程Lv=f的所有解的表达形式。

In this paper,an improvement is made through selecting a group of normal orthogonal vectors in feature subspace,to generate large amount of virtual training samples.

在模式特征子空间中选取一组标准正交向量，使用这组向量可以生成大量的虚拟训练样本，从而实现对协方差矩阵的优化。

In this paper, an improvement is made through selecting a group of normal orthogonal vectors in feature subspace, to generate large amount of virtual training samples.

摘要在模式特征子空间中选取一组标准正交向量，使用这组向量可以生成大量的虚拟训练样本，从而实现对协方差矩阵的优化。

Based on the maximum margin criterion, a new algorithm of orthogonal optimal discriminant vectors and a new algorithm of statistically uncorrelated optimal discriminant vectors for feature extraction were proposed.

基于最大间距准则(Maximum Margin Criterion， MMC)下，提出一组具有标准正交性的最佳鉴别矢量的计算方法和一组具有统计不相关性的最佳鉴别矢量的计算方法。

In addition, the filters discussed in this chapter exhibit a degree of near orthogonality.

紧框架的尺度函数与标准正交小波基的情形相比，它有最小长度和更高的光滑性。

In this note, we prove that if {Φk|k∈Z} is tight frame with bound 1 in V, then {Φ|k∈Z} must be an orthonormal basis of V.

在这篇短文中，我们证明：如果{Φ｜k ∈Z}是V的界为 1的紧框架，那么{Φ｜k∈Z}一定是V的一个标准正交

Introduced the linear uncertainty propagator and derived how one finds the directions at initial time that evolve into the directions of the principal axes of the final time ellipse, and proved that the initial time directions form an orthonormal basis.

介绍线性不确定传播子，推导其如何得到起始时刻的方向，并且这个方向会演变成最终时刻椭圆的主要轴的方向。证明起始时刻的方向构成了标准正交基底。

Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.

首先，构造二维张量积空间，并证明该空间具有再生核；其次在再生核空间中，建立多尺度分析，获得该空间的一个标准正交基，使得再生核空间可以由小波空间来刻画，进而得到小波级数和相应的采样公式，而且给出的小波级数形式简单易于数值分析，进一步完善了有限区间上的多尺度分析方法，也为实际应用提供了良好的理论基础和算法。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐