奇异的

By means of analyzing the noise error, it is proposed to use an algorithm of singular value decomposition total least squares to conduct the interharmonics estimation, namely taking the noise interference at both sides of the matrix equation into account simultaneously and solving the minimum norm problem by least square method under such condition. In the proposed algorithm by means of singular value decomposition of a new augmented matrix and by use of a simple and practical method to determine the number of principal singular value related to signal to noise ratio, the storage calculation of right singular matrix is performed, thus a more accurate frequency estimation of interharmonics can be obtained.

通过分析噪声误差，提出采用奇异值总体最小二乘(singular value decomposition total least squares，SVDTLS)算法进行间谐波频率估计，即同时考虑矩阵方程两边的噪声干扰，采用SVDTLS算法求解该情况下的最小范数解，通过对增广矩阵进行奇异值分解(singular value decomposition，SVD)，采用简单实用的与信噪比相关的主奇异值个数确定方法对分解的右奇异矩阵进行存储计算，得到了较精确的间谐波频率估计结果。

The paper draws linear unusual differential equation a_0y~(n+a_1y~(n-1+…+a_(n-1)y′+α_ny=∑mi=0k_iδ~(i from the practical problems in the engineering field of electronic technology,circuit analysis,mechanics of materials,mechanical design and civil architecture,discusses the dependence of the solution of the equation on that of homogeneous,gives the algorithm of the equation,and draws the general algorithm of semi-odd number rank unusual Bessel differential equation.

在电子技术、电路分析、材料力学、机械设计和土木建筑等工程技术领域中，常会遇到一类非齐次项为奇异函数的广义线性微分方程，本文给出这类奇异微分方程的解对齐次解的依赖性，从而得出这类奇异微分方程的解法，求出了半奇数阶奇异Bessel微分方程的通解。如下列应用问题中的微分方

If singular value curve is convex in the coordinates 'k' of maximum peak of curvature spectrum, then the number of effective singular values is k; if singular value curve is concave in the coordinates 'k', then the number of effective singular values is k-1, and this rule is tested by the signal processing examples.

如果奇异值曲线在曲率谱最大峰值的位置坐标k处是凸出的，则有效奇异值的个数为k；如果奇异值曲线在k处是凹进的，则有效奇异值的个数为k-1，通过信号处理实例证实了这种结论。

Based on theanalysis of topology structure of parallel mechanisms and using differential topology anddifferential manifolds as mathematical tools, we propose a new classification method. Thismethod classifies singularities of parallel mechanisms into two basic types, i.e. topologysingularity and parameterization singularity. This kind of classification has clear physical andmathematical meaning and fully reveals the characteristic of configuration space of parallelmechanisms.

采用微分拓扑和微分流形等现代数学工具，在对并联机构位形空间的拓扑结构进行分析的基础上，提出了一种新的奇异位形的分类方法，即把奇异位形分为拓扑奇异位形、参数化奇异位形两种类型，这种分类方法充分体现了并联机构位形空间的特点，具有十分明确的物理和数学意义。

For inverse singularity, the parallel robot is divided into several series mechanisms, and the Jacobins matrix of these series mechanisms is solved by the exponential product equation and proved to be singular when the series mechanisms are singular.

对于逆奇异，将并联机构拆分成多个串联机构，由指数积方法求得其雅可比矩阵，并证明了机构逆奇异产生时的雅可比矩阵为奇异。

The section curve graph of a singularity surface is drawn. A numerical example of singularity configuration analysis is given for illustration.

主进给机构的奇异位形的集合为参数空间的曲面片，得到了奇异曲面方程及奇异曲面的截面曲线图，给出了奇异位形分析计算的数值实例。

Under small-scale yield condition, the stress distribution outside the yield zone is similar to singular stress distribution without considering the plastic yield. So the elastic singular stress field can be used to narrate the elasto-plastic stree field approximately under small scale yield condition, but the stress intensity coefficient is larger that the elastic one, moreover, it increases as the hardening coefficient decreases.

在小规模屈服条件下，屈服区域外的弹性应力分布与不考虑塑性屈服的弹性奇异应力分布相似(即奇异次数与弹性奇异次数一致)，即可用弹性奇异应力场来近似地描述小规模屈服时的弹塑性界面端，但应力强度系数则比弹性时略大，且随硬化系数的减小而增大。

Seeing image as a matrix, the method applied singular value decomposition on image matrix to decompose image information to a series of sub-spaces correspond to singular value and singular value vector, and then by reconstruction of image matrix using effective singular value to remove noising.

从矩阵的角度出发，通过对图像矩阵进行奇异值分解，将包含图像信息的矩阵分解到一系列奇异值和奇异值矢量对应的子空间中，然后通过有效奇异值重构图像矩阵达到去噪目的。

SVD can reflect the algebra character of the image effectively, and then through SVD operation on vehicle image matrix which includes singular value dimensionality reduction and singular value vector compositor, the feature subspace for recognition is established.

奇异值分解是基于代数特征的特征提取，经过对车辆图像矩阵的奇异值分解，再经过奇异值降维压缩和奇异值矢量排序，最后建立了用于识别的特征子空间。

The advantages and disadvantages of balanced truncation, singular perturbational method and generalized singular perturbation are analyzed. A quasi-generalized singular perturbational model reduction method is proposed.

分析了平衡截断法、平衡奇异摄动法和广义平衡奇异摄动法存在的优缺点，提出了一种近似广义奇异摄动模型降阶算法。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。