查询词典 inverse value

In §8, we give the exist conditions, explicit expressions and fast algorithms of left inverse and right inverse of m× n Vandermonde-type matrix and Loewner-type matrix.

在§8中，给出了mxnLoewner型矩阵和Vandermonder型矩阵的左逆和右逆、表达式及快速算法。

And then, this paper presents an algorithm of computing the left inverse or right inverse for these special rectangle matrices. In thenormal algorithms for solving these problems, we need O(m2n) multiplications ordivisions. The algorithms in this paper only need O + O(n2) multiplications ordivisions. The paper is built as follows.

常规的计算m×n阶不相容线性方程组的极小范数最小二乘解的算法所需计算量为O(m~2n)，而本文根据特殊矩阵的特殊结构，通过两种不同的构造方式给出了两类不同的计算极小范数最小二乘解的快速算法，并给出了求特殊矩阵的左逆及右逆的快速算法，它们的计算量均为O+O(n~2)。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

In this paper, an iterative approach to potential field continuation from curved surface to plane is proposed. The continuation of potential field data from a curved surface to a plane can be viewed as an inverse problem of upward continuation of plane potential field data, getting a linear integral equation. Through viewing the potential field data on the curved surface as the data on the average elevation plane of the curved surface, then using the wavenumber domain generalized inverse algorithm to downward continue the data from the average elevation plane to a given plane, and a topography correction based on the change of curved surface relative to its average elevation is implemented to the downward continued data on the given plane, finally the downward continued data plane is upward continued to the curved surface.

本文提出一种位场数据曲化平的迭代方法，即通过把位场数据曲化平视为平面位场数据向上延拓的反问题，得到曲化平的线性积分方程，再把曲面上位场数据视为曲面平均高程面上的位场数据，利用向下延拓的波数域广义逆算法把平均高程面上的位场数据向下延拓到设定平面上，再根据曲面和其平均高程面的相对起伏对设定平面上的向下延拓数据进行起伏校正，最后再把所得平面上的位场数据向上延拓得到曲面上的位场数据，并进行迭代。

Based on the concept of secondary eigenvalue and secondary eigenvector, the author gives the model for the inverse problem of secondary eigenvalue of the matrix, discusses the inverse problems of secondary eigenvalue for anti-skew-symmetric matrices on a linear manifold.

在第三章中，本文对矩阵的一类逆特征值问题进行了研究，针对次特征值、次特征向量概念，提供了矩阵的逆次特征值问题模型，讨论了一类线性流形上次反对称矩阵的逆次特征值问题。

Those problems include inverse position analysis of the machine, inverse and direct position analysis of the parallel locking mechanism, relationships of velocity and acceleration between cutter and actuators, Jacobian matrix of the machine, forward position computation of the machine, the links'velocity and acceleration of the driving chains, the links'velocity and acceleration of the locking mechanism, kinematics simulation of the machine, and so on. The Jacobian method presented in the thesis to calculate the direct position of the machine is of high efficient.

其中包括机床的位置逆解分析，平行机构的位置逆解分析，机床刀具与各主动关节之间的速度和加速度映射关系的求解，并联机床雅可比矩阵的计算，并联机床的位置正解计算，支链构件的速度和加速度计算，平行机构各构件的速度和加速度计算以及机床各运动学指标的仿真计算等。

Computing inverse matrix, a unit entrainment in the matrix behind the matrix, and then in front of it is processed into a matrix, diagonal matrix, the latter matrix that is the inverse matrix.

详细说明：计算逆矩阵，在矩阵后面夹带一个单位矩阵，然后把前面那一个矩阵处理成对角线单位矩阵，后面的那个矩阵就是逆矩阵。

Objective To explore livin, MTA1 and the caspase3 protein expression, their correlation and clinical pathology in colon cancer Methods The expressions of livin, MTA1 and caspase3 protein in 88 cases of colon cancer were detected by immunohistochemistry stainingResults Livin, caspase3 protein and MTA1 positive expression rates in colon cancer tissues were more than those in tissues beside the cancer Furthermore there were obvious relevance between livin protein, MTA1 positive expression rate and degree of histodifferentiation and lymph node metabasis and between caspase3 protein positive expression rate and degree of histodifferentiation of colon cancer Caspase3 protein expression had prominent inverse correlation with the livin expressionConclusions ①Over expression of livin having inhibtion on colon cancer is one of important factors of colon carcinogenesis ②Caspase3 protein expression in colon cancer tissues is inhibited to less and has prominent inverse correlation with livin expression Accordingly, suppressing caspase3 protein activity is one of channels, by which livin promotes colon carcinogenesis ③MTA1 plays the important role in histodifferentiation degree and lymph node metastasis of colon cancer

采用免疫组织化学染色方法检测88例结肠癌组织中Livin，Caspase3 及MTA1的表达情况。结果（1）结肠癌组织中Livin的阳性表达率显著高于癌旁组织，且Livin的表达与结肠癌的组织分化程度及淋巴结转移程度显著相关。（2）结肠癌组织中Caspase3蛋白的阳性表达率显著高于癌旁组织，且Caspase3蛋白的表达与结肠癌的组织分化程度显著相关。（3）结肠癌组织中MTA1的阳性表达率显著高于癌旁组织，且MTA1的表达与结肠癌的组织分化程度及淋巴结转移程度显著相关。（4）Caspase3蛋白的表达又与Livin的表达呈显著负相关。结论（1）Livin在结肠癌组织中过表达，它可能是促进结肠癌发生的重要因素之一。（2）Caspase3蛋白在结肠癌组织中表达被抑制而降低，且与Livin的表达呈负相关。因此，抑制Caspase3蛋白的活性是Livin促进结肠癌发生的途径之一。（3）MTA1对结肠癌的组织分化及淋巴转移发挥重要作用。

Based on inverse equation, the forward solution model of position is presented in this thesis through method of successive approximation, for parallel robots possess characteristic of easy inverse solution and difficult direct solution. The method is proved to be highly effective by simulation example.

根据6-SPS并联机器人反解容易、正解较难的特点，本论文基于位置反解方程，通过杆长逐次逼近的思路建立了位置正解模型，并对该方法进行了实例验证。

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分，第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状；第二章数值微分的正则化及其应用从正则化理论和算法的角度出发，考察了许多正则化方法，还给出了数值微分在抛物型偏微分方程反问题的一些应用；第三章谱正则化方法是在Fourier分析的基础上，在一般正则化理论的框架下，给出了这种方法在各种不适定问题中的应用，数值实验表明谱方法是有效的；第四章研究了小波对偶最小二乘方法和改进的小波方法；第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用；第六章是未知源识别问题，主要指出了两类未知源问题的不适定程度和不适定本质，同时报告了一些数值方法。

The Porsche Owner: But it's my car!

可，这是我的车呀。

LOX_83}{Oh, another bunch of wackos.

{LOX_83}{呃，又一群怪人。