查询词典 orthogonal decomposition

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。

In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

本文通过把位场向下延拓视为向上延拓的反问题，得到向下延拓的褶积型线性积分方程，再利用Fourier变换矩阵的正交对称特性，并结合矩阵的奇异值分解和广义逆原理，提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法，解决了位场大深度向下延拓的不稳定性问题。

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。

By decomposing a matrix into one diagonalizable matrix and two orthogonal matrixes,singular value decomposition has very good properties.

奇异值分解是将一矩阵分解为一个对角矩阵和两个正交矩阵，奇异值分解有着非常好的性质。

The semi singular value decomposition A=USR is suggested,where U is an orthogonal matrix,S is a diagonalizable matrix and R is a upper-triangular matrix.

提出了半奇异值分解A=USR，其中U为正交矩阵，S为对角矩阵，R为上三角矩阵。

The conventional matrix decomposition methods have been used to find the least-squares solutions of the abovementioned inconsistent matrix equations over given matrix set in many references, and the general expressions of these solutions were obtained. But it is difficult to determine the solution of Problem I by utilizing these expressions due to the fact that the orthogonal invariance of Frobenius norm does no hold for the general nonsingular matrices.

对于求上述不相容矩阵方程在给定矩阵集合上的最小二乘解，很多文献中利用传统的矩阵分解方法得到了其通解表达式，但是利用该表达式很难得到问题Ⅰ的解，这是因为一般的非奇异矩阵并不满足Frobenius范数的正交不变性。

Reduced SQP based on orthonormal bases, orthogonal bases and coordinate bases are studied and compared. With the correction item introduced, the null-space move is adjusted and the reduced SQP based on coordinate bases decomposition is improved.●The key problem of steady-state data processing for RTOPT is studied. A new algorithm of simultaneous strategies for data reconciliation and gross error detection is proposed. Here the objective function that is constructed using maximum likelihood principle and joint distribution function is minimized. Efficient algorithm is developed which exploited the nonlinear lease-square structure of this objective function.

仿真结果表明了算法的有效性；●深入研究了在线优化中的一个关键问题——稳态数据处理问题，用基于组合概率分布的目标函数联立求解粗劣误差检测和数据调和问题；以精馏塔在线优化的数据处理和模型修正为例，提出一种根据模型方程对参数的依赖性进行过程模型分解的分层策略，可以将数据调和和参数估计统一在数据处理的大框架中，为进一步的过程性能分析、操作状况评价以及在线优化提供可靠的基准，具有非常重要的工程应用价值；●将优化命题的形式扩展到更通用的形式。

By the use of adaptive orthogonal wavelet decomposition of three-layer fabric image, a method of fabric defect detection was developed.

提出了运用自适应正交小波对织物图像进行三层分解的织物疵点检侧方法。

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。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。