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The characteristic vector of the real symmetric matrix should be found out, which is orthogonalized and normalized to a standard orthogonal base and is used as row vector to construct the transformation matrix P, so the P~(-1)AP can be made into diagonal matrix.

实对称矩阵A经相似变换P-1AP可化为对角矩阵，在x =Py 下，不一定能化A的二次型为标准型；应寻求对称矩阵A的特征向量，将其正交化并单位化作为标准正交基，作为列向量构造变换矩阵P，可使P-1AP=Λ为对角阵，在x =Py 下，要将二次型化为标准型，且二次项系数即为对角阵Λ主对角线上元素。

Nonsingular H-matrix; generalized H-matrix; eigenvalue; numerical radius; matrix splitting; saddle point problem; Krylov subspace method; preconditioning technique

基础科学，数学，代数、数论、组合理论非奇H-矩阵；广义H-矩阵；特征值；数值半径；矩阵分裂；鞍点问题； Krylov子空间法；预处理技术

Focusing on the computational bottleneck of traditional CCA,StreamCCA introduces a low-rank approximation technique to reduce the dimensionality of product matrix resulted from sample correlation matrix and sample variance matrix,which improves computational performance efficiently on the premise of holding approximate precision.

经理论分析和实验证明，S treamCCA能够在线精确地识别两条多维数据流的相关关系，可以作为通用的预报和诊断分析工具广泛应用于数据流挖掘领域。

A new approach-two dimensional principal component analysis(2DPCA) is developed for face recognition. 2DPCA approach dont need to transform the image matrix into feature vector. It directly uses the image matrix to construct the sample covariance matrix.

5研究了二维主成分分析(2DPCA)方法，2DPCA方法不需要先将图像矩阵展开成一维向量，而是直接利用图像矩阵来构建样本协方差矩阵，所以2DPCA比PCA的识别时间更短，识别更高。

Methods Porcine bile duct and ureter were treated using detergent sodium dodecylsulphate and 1% Triton X-100 to prepare the acellular lumens matrix. The toxic effects of different concentrations of acellular lumens matrix extract were tested by MTT to assess the proliferation of human scarfskin fibroblasts. The cytotoxicity of the target biomaterial was graded according to the national standards. The growth manner of the human intrahepatic bile duct endothelial cells seeded on the acellular lumens matrix was studied after 20 d under scanning electron microscopy.

采用十二烷基磺酸钠、Triton X-100处理封闭群小香猪输尿管和胆管，获得去细胞管腔基质支架材料； MTT法检测基质支架材料的不同浓度浸提液对细胞增殖的影响，并按医用生物材料细胞毒性分级标准进行评级；在基质支架材料上种植人肝内胆管上皮细胞，于接种后20 d通过扫描电镜观察人肝内胆管上皮细胞在支架上的生长情况。

The national defence basic project as background and the dynamic model of cotrolled transfer matrix for multiple launch rocket was created in order to reduce the initial disturbance of rocket projectile. The causes that affect the angle change of orientation locator were analyzed by the engineering system dynamic theory base on multibody system transfer matrix method. The simulation of dispersion for multiple launch rocket was implementation, and the affect law between the angle of elevation and side deflection and the control parameters was acquired. The control module was installed on the orientation locator of multiple rocket launcher to control the initial disturbance of rocket that provide new method and theory base and show the engineering system dynamic base on the multibody system transfer matrix method is effective.

本文以国防基础科研项目为背景，建立了通过控制定向器角运动来减小火箭弹起始扰动的多管火箭受控多体系统动力学模型，应用基于多体系统传递矩阵法的工程系统动力学理论，进行了定向器角度运动的影响因素分析，进行了受控多管火箭炮发射动力学和密集度数值仿真，得到了定向器俯仰和侧偏角控制参数对俯仰角和侧偏角的影响规律，为在火箭炮定向器上加装控制集成模块控制火箭弹的起始扰动和射击精度提供了新思路和理论基础，也表明了基于多体系统传递矩阵法的工程系统动力学理论的有效性。

The matrix similarity also is matrix theory side important at the same place, develops has emphatically the big significance to the matrix similar research.

矩阵相似性又是矩阵理论的极重要一块，开展对矩阵相似性的研究有着重大意义。

The results revealed that a nano-fibrous matrix made of PHA materials had been formed through unique solution process, the nano-fibrous matrix is similar to the structure of collagen, which is the main component of extracellular matrix, and its average diameter of the fiber is ranged 80～350 nm.

同时，通过扫描电镜的检测发现了具有纳米纤维网状结构的PHA新型支架材料，这种通过溶剂处理法获得的PHA纳米纤维支架与细胞外基质的主要成份胶原蛋白的结构非常类似，它的纤维直径平均大小在80-350 nm 之间。

Ects, the covariance matrix of observation vector has special structure,and using the linear transformation for original model by idempotent matricesin the spectral decomposition of the covariance matrix, the problem of estima-tion of the covariance matrix becomes simultaneous estimation of all the distincteigenvalues of it.

在带有随机回归系数的一般线性模型中，首次提出了随机回归系数和参数的Minimax估计问题，分别在齐次线性估计类和一切估计类中研究了一个线性估计的Minimax性。

Third, this paper proposes a method of dealing with singularity of Jacobian matrix of robot manipulator, then introduces singular robust inverse matrix of Jacobian matrix.

并在拉格朗日—欧拉方程的基础上给出了机器人操作器的动力学方程，对动力学方程中的惯量项、重力载荷项进行了简化，并给出了哥氏力和离心力项的简单求法。

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％。