正交的

We first analyze the relationship between the characteris-tic subspaces of linear transformation A,and its conjuge transformation A*, on then-dimensional complex inner product space Cn, and prove that the characteristicsubspace of an enginvalueλof A is orthogonal to that of enginvalue μ of A* if λ≠μ.

首先，分析n-维复内积空间Cn上的线性变换A与其共轭变换A*的特征子空间之间的关系，证明出只要A的一个特征值λ与A*的一个特征值μ的共轭不同，那么它们对应的特征子空间是正交的。

Then the azimuthally phase and group velocity formulas of plane wave propagation in horizontal plane are deduced according to Christoffel equation, and the azimuthally dependent velocities in dry and water saturated cracked medium are calculated.

而后，根据Christoffel方程推导了由各向同性背景介质中含两组非正交的垂直裂隙而形成的等效单斜各向异性介质中，在水平面内随方位变化的相速度和群速度的计算公式，并对干裂隙和饱和流体填充裂隙介质两种具体情况进行了计算。

We extend the second order elastic tensor of Husdon's and turn it to a matrix which makes the calculation of second order perturbation much more concise. Then the azimuthally phase and group velocity formulas of plane wave propagation in horizontal plane are deduced according to Christoffel equation, and the azimuthally dependent velocities in dry and water saturated cracked medium are calculated.

而后，根据Christoffel方程推导了由各向同性背景介质中含两组非正交的垂直裂隙而形成的等效单斜各向异性介质中，在水平面内随方位变化的相速度和群速度的计算公式，并对干裂隙和饱和流体填充裂隙介质两种具体情况进行了计算。

Each modulated TFSK symbol is divided into two orthogonal sub-symbols, and the new scheme is constructed by differently combining the sub-symbols with the different transmit diversity gain able to be achieved by noncoherent processing at the receivers.

将已调的时频信号分解为互正交的两子信号，同时运用不同的排列组合方案即可得到不同的分集增益。

In the nature of physics,it consists with human's cochlea filter properties;in the sense of mathematics,Bark wavelet transform is a kind of non orthonormal but overcomplete,reversible and self inverting wavelet transform.

在感知特性中，它与人耳的听觉系统是直接吻合的：在数学上，它是一种非正交的但却是超完备的，可逆且是自反演的子波变换。

Based on this requirement, this paper introduced steerable filters: generated a pair of even and odd filtered images by convoluting a quadrature pair of steerable filters with a source image, and then through continuously varying their phases over time, it gave the vision of an object in motion without changing its position. created the animation conveniently in this way.

基于这种需求，将定向滤波引入到非真实感动画中：利用一对正交的定向滤波核与源图像进行卷积运算，产生一对奇偶滤波图像，并通过不断改变其相位得到一系列运动的图像，使图像内的物体在实际位置并不发生改变的情况下，产生视觉上的动画效果，从而方便地生成非真实感动画。

Assuming a one-dimensional signal, features correspond to points of the maximal Fourier phase congruency; for a two-dimensional signal, phase congruency is obtained by convoluting signal with two filters in quadrature.

对于二维信号，相位叠合可通过一对相位正交的滤波器得到，最常用的滤波器是Gabor滤波器的偶和齐的滤波器。

The transmitter takes advantage of the eigenvectors of the SCM of the correlated channels to spread and weigh the signals of each layer. The spatial eigenbeams are formed to carry the signals being spread. The receiver distinguishes the signals from different beams via dispreading operations; therefore co-channel interferences are eliminated effectively.

发射机利用信道空域协方差矩阵的特征矢量，对每一层发射码元进行扩频和特征波束形成加权，形成正交的空域特征波束来承载扩频后的信号码元；接收机则通过解扩处理分离来自不同波束上的信号，有效地抑制了共信道干扰。

It was shown in [23] that the time-frequency pair of orhtonormal basses that are related via the Fourier transform is highly incoherent.

文献[23]证明了，通过傅里叶变换相关的规范正交的低沉音的时间－频率对是高度不相干的。

Content Summary:It introduces the main ideas and discussions of the theory for spacetime of multimetrice of multiverse to be tangency each other:The theory reasones out the entire process for the evolvement of multiverse ;It clarifies the radixes of physics about the statistical law of quantion and the wave particle duality of matter and the uncertainty principle .

内容提要：介绍了正交的多度规多宇-时空理论的主要思想和论述：它推演-宇宙演化全过程；阐明的量子现象服-从统计率，物质具有波粒二象性和测-准率的物理根源。

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