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By using the methods of complex representation of quaternion matrices and companion vector, we study and simplify the numerical calculation methods of quaterinon matrices, and establish new aigebraic methods in quaternionic quantum mechanics.

我们通过四元数的复表示和友向量方法，研究并解决了四元数矩阵的一系列数值计算问题，给出一套四元数量子力学中的数值计算方法。

The numerical calculations of quaternion matrices The quaternionic quantum mechanics is a new coming disciplines of physics, because of noncommutation of quaternions, some numerical calculation methods of quaternion and quaterinon matrices are complicated and tedious.

四元数矩阵的数值计算问题四元数量子力学是近十几年来才发展起来的一门新兴的物理学科，由于四元数乘法的不可交换性，使得四元数量子力学中的四元数数学理论基础，特别是有关四元数问题的数值计算方法很不完备。

After 45 days of having tissued, the record showed that the three parts flake of L.davidiivar Cotton did not have the same differentiation ability in the same matrices.The alive rate in each matrices is: the middle is the best, the outer is the worst and the innner is better.

培养45天时统计了各种基质中的成苗情况，结果表明，在16种基质中，每一种基质都证明了兰州百合内、中、外三层鳞片在同一基质中的分化能力不同，每一种基质中中层鳞片成苗率最高，内层次之，外层最差。

In this paper, the transformable conditions and the transformation matrices of two arbitrary B-spline bases are studied, and the theoretical results about the representation and properties of the elements of the transformation matrices are given.

本文研究任意两个B样条基可转换的条件及转换矩阵，给出了关于转换矩阵元素的表示及性质等理论结果，并推导出了两个递推公式，为实际计算转换矩阵的元素提供了易于实现的数学方法。

The framework of GAP consists of four components:(1) presentation of raw data matrix and selection of proximity matrices,(2) seriation of proximity matrices and raw matrix,(3) partitions of permuted matrix maps, and (4) sufficient statistical graph.

其步骤包含四个部分：(1)原始资料之呈现与关系矩阵之选择，(2)关系矩阵与资料矩阵之排序，(3)对变数与个体进行分群，(4)充分统计图。

Only with such characteristics, the movement equations can be expressed as matrices, and the idea of transforming the movement equations to the simplest form through a nonlinear transformation can be realized;(2) The form of Zi =Yi + YTH2i Y + Y7H3i Y(2)+ Y(2)T H4i Y(2)+ YTH5i Y(3) is adhibited in the nonlinear transformation, so that the multivalued problem caused by the nonlinear transformation is avoided, and the higher order transformation can be taken next;(3) The fourth order nonlinear transformation matrices H21,H31,H41 and H51 are derived, by which the original movement equations of electric power system is transformed to Jodan form in Z space;(4) By use of the fourth order nonlinear transformation, the approximate expression of the stability boundary is obtained, in Z space it is Z1= 0,in Y space it is Y1 + YTH21 Y + YTH31 Y(2)-i- Y(2) TH41 Y(2)+YTH51 Y(3)= 0;(5) The criterion used in this paper to judge whether the system critical unstable is simple and quick;(6) The method used in this paper is a direct method, and no need to construct an energy function.

正是由 于电力系统的运动方程具有这样的特性，才能写成矩阵的形式，通过非线性变换将电力系统的运动方程变换为最简单的线性形式的思想才能得以实现；（2）将通常运用于电力系统暂态稳定性分析的Normal Form变换的形式由 Yi＝ Zi＋ ZTh2riZ变形为 Zi＝ Yi＋YTH2iY＋YTH3iY（2）＋Y（2）TH4iY（2）＋YTH5iY（3），从而使得在对持续故障轨线实施同样的非线性变换以确定临界切除时间时，避免了非线性变换带来的多值性的问题，而只有在没有多值性问题的困扰下，才能采用较高阶的变换：（3）推导出了将原始电力系统系统的运动方程变换到Z空间的约当形式的非线性变换矩阵H21、H31、H41、HS1：（4）在运用四阶了「线性变换的情况下，给出了受扰动后系统的稳定边界的近似的解析表达，在Z空间为Z1=0，在y空间为： Y1+YTH21Y+YTH31Y(2)+Y(2)TH41Y(2)+YTH51Y(3)=0 （5）确定临界失稳的判据简单、快捷：对于一个复杂的电力系统，其稳定边界是相当复杂的一个高维曲面，即便是已知系统稳定边界的解析表达，要求出系统持续故障轨线何时与这一高维曲面相交，在数学上几乎是不可能实现的。

Was introduced to extend Pascal functional matrices to Pascal operator matrices by using polynomial of binomials type.

本文给出了Tepper 恒等式的一个算子形式的推广，并且由此导出一些组合恒等式。

Firstly, B-scan ultrasound images are captured form patients and the regions of interest are localized. During the feature extraction approach, three models are employed including mean intensity ratio of the near field and the far field, the gray level co-occurrence matrices and the gray level run-length matrices. 10 statistics are extracted from the three models for each image.

首先以脂肪肝B超图象纹理的变化为出发点，分别采集人体肝脏的B超图象，并选择图象中的感兴趣区域，计算出每一幅图象的近远场灰度比特征、灰度共生矩阵和灰度游程矩阵的二次统计量特征。

When the coefficient matrice is index p cycle matrice (p = 3,4,5),we educe the relation between preconditionging Jacobi 、 GS iterative matrices" and classical Jacobi iterative matrices" eigenvalue; As an application, make some preconditioning iterative factors, when classical Jacobi iterative converge, the preconditioning iterative methods may converge faster.

2系数矩阵是指数p=3，4，5循环矩阵时，分别给出了预条件Jacobi、Gauss-Seidel迭代矩阵与传统块Jacobi迭代矩阵二者特征值之间的关系，作为一个应用，通过预条件因子的特殊取值，使传统Jacobi迭代收敛时，预条件块迭代法的收敛速度成倍提高。

Such functional sorbates can be absorbed into the starch matrices of the present invention by either spraying solutions of such substances onto the prepared granular matrices or by adding the granular starch matrix material to solutions of said substances, separating the pore-loaded granules from solution by art-recognized techniques such as filtration or centrifugation and drying the substance bearing granules.

这种功能sorbates可以吸收到淀粉矩阵的本发明无论是喷涂解决方案，这类物质上准备矩阵的颗粒或加入淀粉颗粒基质材料，以解说，物质的分离，孔装颗粒从溶液中的艺术公认的技术，如过滤或离心和干燥的实质轴承颗粒。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。