正交的

The simulation study shows that linear polarization sensitivity of silvered orthogonal twin mirrors is better than that of aluminum or aurum mirrors at the range of 0.4μm～10μm, and the silvered orthogonal twin mirrors have less influence on polarization ratio than those of aluminum and aurum mirrors.

模拟计算结果显示：在0.4μm～10μm波段内，非理想正交镀银反射镜的线偏振灵敏度优于铝、金等正交反射镜，且对光束偏振度的改变最小，因此正交镀银反射镜在高精度偏振遥感探测中值得广泛应用；若把角度误差控制在0.5°内，则正交镀银反射镜的偏振特性对偏振遥感器的辐射度和偏振度影响很小，具有较好的消偏性能。

The thesis also draw several conclusions as follows:(1) Orthogonal experiment design method can be viewed as a special case of genetic algorithm, i. e. a genetic algorithm with a fixed initial population, an oriented-mutation operator and one evolution epoch.(2) In terms of running steps, genetic algorithm is more complex than orthogonal experiment design method.

论文首次对正交试验设计法和遗传算法这两种独立发展起来的方法进行比较研究，提出(1)正交试验设计法是遗传算法的一种特例，即是一种初始种群固定的、只使用定向变异算子的、只进化一代的遗传算法；(2)遗传算法产生的优化解优于正交试验设计法产生的优化解，且遗传算法处理交互作用项的效率高于正交试验设计法；(3)遗传算法的步骤比正交试验设计法复杂，所需的试验次数也要多。

Based on hexahedra vector finite element in ANSYS,a new orthogonal-reinforced hexahedra vector element is created by modifying vector basis functions.Due to orthogonality of sampling nodes and orthogonality of integral simultaneously,the new vector element can strengthen diagonal elements' predominance and quicken speed of solving system question group.

在ANSYS采用的六面体矢量单元的基础上，对矢量基函数作了一些增强正交性的修改，使其同时具备采样点正交性和积分正交性，得到了一种新的正交增强六面体矢量单元；这种新单元能增强系统矩阵的对角占优特性，加快系统方程组的求解速度。

The system parameters are determined by optimizing an output-error cost function. To deal with the non-uniqueness of the fully parameterized state-space system, a projected gradient search algorithm is presented by restricting the update of the parameters to the tangent space to the manifold of observationally equivalent state-space systems. The sufficient condition to employ L-M algorithm for optimizing parameters is also introduced. The proposed hierarchical optimization identificationmethod includes two steps: First, the parameter search direction is determined by the proposed adaptive L-M projected gradient approach; Second, the optimum step size is computed according to a line search method.

通过极小化输出误差目标函数获得了系统参数估计；提出了正交梯度搜索方法用于解决系统参数的非唯一性问题，正交梯度搜索的本质是在输入-输出等价类相切平面的正交垂空间更新系统参数；给出了用 L-M 算法进行参数优化的充分条件；提出的系统参数递阶优化辨识方法包括两步：首先用给出的自适应 L-M 算子正交梯度方法确定参数优化方向；其次由一维搜索方法计算最佳步长。

Since an elementary reflection in the form of a Householder matrix can reduce any orthogonal matrix to this constrained form, a series of such reflections can bring any orthogonal matrix to the identity; thus an orthogonal group is a

因为 Householder 正交矩阵形式的基本反射可把任何正交矩阵简约成这种约束形式，一系列的这种反射可以把任何正交矩阵变回单位矩阵；因此正交群是

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

In the paper,we discuss orthogonal matrix deeply,and we get a series of properties of orthogonal matrix.

本文对正交矩阵进行了深入的研究，得到了正交矩阵的一系列性质，同时，本文对照正交矩阵的性质和运用，研究了两类广义正交矩阵的性质及应用。

At the second place, feasibility of edge detection based on orthogonal wavelet is discussed in the article. Its theoretical key of edge detection based on orthogonal wavelet that approximate symmetrical or antisymmetrical orthogonal real wavelet can be constructed though Haar wavelet is the only symmetrical or antisymmetrical orthogonal real wavelet.

随后本文讨论了正交小波基用于边缘检测的可行性：虽然除了Haar小波外再也找不到对称或反对称的正交实小波，但是可以构造出近似对称或反对称的正交实小波，这就是正交小波用于边缘检测的理论关键。

This paper researches the wavelet transform of discrete-time sequences basing on dendriform filer banks in the signal processing field, analyses the theory and design method of two channel conjugate quadrature mirror filter banks and fast implement of discrete orthogonal wavelet transform and generation of orthogonal wavelets, and points out the internal relationship between them.

笔者从信号处理的角度研究了离散时间序列的小波变换利用树状滤波器组实现的方法，分析了两通道共轭正交镜象滤波器组理论及滤波器设计，离散时间序列的正交小波变换的快速实现以及正交小波的构造，指出了其内在联系，最后举例说明了正交小波变换通过共轭正交镜象滤波器组来实现信号分解和重构的全过程。

Furthermore, the relationship between the residual norm of the semi-refined approximate eigenpair and that of the approximate refined eigenpair is discussed. The semi-refined biorthogonalization Lanczos algorithm is given. We carry on some numerical experiments, and the results show that the new algorithm is more efficient than its conventional counterpart.

根据精化投影方法的思想，提出了半精化双正交Lanczos方法，建立了半精化特征对和精化特征对对应的残量范数之间的关系，给出了半精化双正交Lanczos算法，数值实验表明，该算法比双正交Lanczos算法和拟精化双正交Lanczos算法优越。

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