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It includes the following chapters: o Introduction to MATLAB o Root Approximations and Partial Fraction Expansion o Sinusoids and Complex Numbers o Matrices and Determinants o Review of Differential Equations o Power Series o Linear and Parabolic Regression o Solution of

它包括以下各章： o MATLAB o 根近似值的介绍并且部分分数展开 o Sinusoids 和复数o 矩阵和决定因素o 回顾的线的微分方程o幂级数o 和抛物线回归o 解决办法

Each hydraulic link of 6-DOF parallel robot is treated as an open joint-link chain. Each link's local coordinate frames is established according to the position and orientation of the component of the spatial mechanism. The stiffness and damping matrices of the link are transformed into the static gross coordinate frame through transfer matrix described by the RPY description method. The differential equation of motion of the system vibration is derived.

将6-DOF并联机器人的液压分支作为假想的单开链，由空间机构的位姿建立其组成构件的局部坐标系，并利用RPY角描述方法，通过转移矩阵将各构件的刚度及阻尼矩阵依次转移到固定坐标系中，得到了系统振动的运动微分方程。

In this dissertation, we develop the research work of the following three aspects based on existed work.First, using the scale-invariant property of multiscale model, i.e. Markovian among scales, a method of qth-order tree-based for multiscale representation of a class of 1-D stochastic process is presented. The multiscale stochastic model is established. The representation forms of parameter matrices, such as, the state transition matrix, the disturbance matrix, the initial state and the corresponding covariance matrix are deduced in detail. The multiscale sample paths based on distinctive order tree are presented by computer simulation.

本文在已有工作的基础上，开展了以下几个方面的研究工作： 1、根据多尺度模型尺度不变性，即利用尺度间的Markov性，给出了一类1-D随机过程基于一般q阶树的多尺度表示方法，建立了相应的多尺度动态模型，详细推导了多尺度模型中的状态转移阵、扰动阵、初始状态和相应的协方差阵，并通过计算机仿真给出了不同阶树的多尺度采样路径。

Based on the parametric solutions of a Sylvester matrix equation, the parametric expressions of the gain matrices of synchronization dynamic observer in the nonlinear feedback chaotic systems are presented, in which the parameter vectors offer all the design degrees that can be selected to satisfy some performances, such as robustness.

基于Sylvester矩阵方程的参数化解，给出了非线性反馈混沌系统的同步动态观测器矩阵的所有参数化表达式，其所含参量为混沌系统控制设计提供了全部自由度，可适当选择自由参量满足某些鲁棒性指标。

Part five discusses 3D model parametric representation, which includes 3D geometry parametrization and relative position relationship parametrization. In the former, the sweeping rules are further formalized, the concept of design parameters and modeling parameters is introduced. In the later, constraint transformation matrices of the position relationships between features are deduced, and the lost of model freedom resulted from the correspending constraint is analysed.

在特征几何参数化中，进一步规范化了特征几何的扫描生成规则，引入了设计参数和造型参数的概念，分析了造型参数向设计参数适时转化的必要性；在相对定位约束参数化中，推导了特征间一般位置约束关系的约束变换矩阵，拓宽了约束表示范围，并对约束的自由度亏损情况进行了分析。

Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.

摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果，得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式，并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。

They are defined by sparse parity check matrices, with various construction methods.

LDPC码定义在稀疏校验矩阵上，有许多种构造方法。

The correlation projection analysis proposed in this paper, including Canonical Correlation Analysis, Generalized Canonical Correlation Analysis and Partial Least Squares Analysis, is a feature extraction method based on two groups of features or two data matrices.

本文提出的相关投影分析，包括典型相关分析、广义典型相关分析和偏最小二乘分析是建立在两组特征或两个数据矩阵上的特征抽取方法。

Moreover, relations between some matrix weighted partial orderings are investigated, and weighted partial orderings of matrices and orderings of their functions are also compared.

此外，我们还讨论了几种矩阵加权偏序之间的关系，并结合本文提出的矩阵函数研究了矩阵偏序与其函数偏序之间的关联。

Especially, combining with the weighted polar decomposition and simultaneous weighted polar decomposition of matrices given in this thesis, we derive two interesting characters of the new matrix partial ordering.

特别地，与本文提出的矩阵加权极分解和同时加权极分解相结合得到了两个有意义的结论。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。