查询词典 orthogonal decomposition

Boley and Golub used Gauss quadrature formula to solve the inverse problem, but I used other different methods and thoughts. I obtained a new decomposition form of orthogonal matrix consisted by the unit eigenvectors of Jacobi matrix and found the direct relations between the first row and the orther rows of this orthogonal matrix.

Boley和Golub的算法是用高斯求积公式，而本人另辟蹊径，推出了关于Jacobi矩阵单位特征向量组成的正交阵的一种分解形式，并找到此正交阵第一行和其它行的直接联系，由此避免了通过求特征多项式计算尾主子阵的特征值，得到了新的稳定解法。

From the view point of function orthogonal decomposition, wavelet transform can be seen as translating an image into coordinates of a group of orthogonal basis.

在图像处理中，小波变换所具有的空频局部性，使得图像的能量重新分布。

For example, one can use QR decomposition to find the orthogonal matrix B, or use the orthogonal projection matrix of A as B.

例如，人们经常使用的QR分解方法找到正交矩阵B，更直接地，B可以取为矩阵A的正交投影矩阵。

The independent equations of the amplitude spectrum and phase function of orthogonal filter banks were sought through function axial symmetry decomposition and centrosymmetry decomposition technique.

采用函数中心对称和轴对称分解方法分别研究了正交滤波器组间的幅频和相频特性的独立方程。

Polar decomposition of deformation gradient in three dimensional states is often rather difficult, although it has already been solved success fully for plane problems. It is a commonly used technique to obtain the solutions through Cayley-Hamilton formula and three invariables of U. The paper introduces a nonlinear elimination method by use of orthogonal matrix's property, and gives a computation formula for polar decomposition.

变形梯度的极分解在平面问题中得到了很好解决，在三维空间问题中一直认为是相当困难，利用Cayley-Hamilton公式和U的三个不变量求解是目前普遍采用的方法，文章利用正交矩阵的特性，介绍了非线性逐次消除的方法，给出了右极分解的计算式。

The paper first introduces the basic principle of Karhunen-Loeve decomposition for stochastic processes, and outlines the essential properties of the decomposition. A method based on the Hartley orthogonal bases is proposed to decompose stochastic processes.

介绍了随机过程Karhunen-Loeve分解的基本原理，指出了其在随机过程展开中所具有的优势与局限性，针对Karhunen-Loeve分解在求解特征问题中存在的困难，采用Hartley正交基作为展开函数，发展了一类基于Hartley正交基的随机过程展开方法。

Firstly,the generic conception of symmetry for a real sequence was proposed,and then,the symmetry-decomposition and the symmetric degree sequence are presented,which are deduced from the projection theory,the orthogonal-decomposition theory in inner product space and .

首先提出序列信号一般意义下的对称概念，然后由内积空间中的投影、正交分解理论以及内积量化两个信号线性相关程度的特性导出任意信号的对称分解及对称程度序列，对称程度序列定量刻画了信号随对称点的变化时对称特性的变化，在此基础上得出任意序列信号对称程度的定量指标——对称性指标。

The Proper Orthogonal Decomposition is an optimal decomposition of random fields in terms of an energy representation.

本征正交分解是以能量表述的随机场的最优分解，是一种数据压缩和特征萃取的工具。

On the problem of model parameter determination, the singularity distribution method is used to derive the expressions for numerically calculating the added mass arised from vibration of the structure under three-dimensional case; The aero-dynamic damping ratio is identified from the testing data based on the methods of empirical mode decomposition, improved random decrement and Hilbert transformation; The reduced-order spectral representation method is also deduced in this chapter based on the technique of proper orthogonal decomposition.

在模型的参数计算上，采用奇点配置法推导了三维情形下结构振动诱导流场附加质量的数值计算方法；联合采用经验模态分解、改进的随机减量法及Hilbert变换对索穹顶结构的气动阻尼进行了识别分析；推导了基于本征正交分解的降阶谱解法。

With fault signals of vibration tested in practice, this paper takes frequency-domain half-power bandwidth Gauss wavelets of continuity, index wavelets decomposition and equivalent bandwidth equivalent sampling discrete bi-orthogonal wavelets decomposition as basis, presents scaling correlated analysis correspondingly toward wave making vibration signals, and accurately realizes to decompose different stress wave speeds, and provides a method of analysis and calculation for accurated location and recognition of the polygenetic faults.

根据上述故障力学模型，我们提出并设计了相应的测试系统，对实测的故障振动信号，以频域半功率带宽连续高斯小波、指数小波分解和等带宽等采样离散双正交小波分解为基础，提出了相应的对波致振动信号的尺度相关分析，准确地实现了分离不同的应力波速，为多源故障的精确定位识别提供了分析和计算方法。

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This new product will become our best seller.

这个新产品会成为我们最畅销的产品。