非代数的

Suppose G is a finite group, then QG is a semisimple Q-algera, obviously ZG is a Z-order of QG,we denote the maximal Z-order by ?.If G is not abelian, it is not an easy thing to determine г; if G is an abelian group, then QG is isomorphic to the direct sum of a finite number of number fields, and r is the direct sum of these rings of algebraic integers of those number fields, but which elements of QG belong to r is not clear.

设G是一个有限群，那么QG是一个半单代数，ZG是QG的一个Z-序，设Γ是QG的一个极大Z-序，当G是一个非交换群时，Γ的求解是困难的问题；当G是一个交换群时，QG同构于有限多个数域的直和，Γ相应的就是各数域代数整数环的直和，但Γ具体是QG中那些元素不清楚。

In this paper the quantum mechanical algebra, the Moyal-Weyl multiplication and the Bopp transition are introduced, and the Hamiltonian operator of the charged particle in electromagnetic field is also discussed.

首先扼要介绍了非对易相空间中的量子力学代数、Moyal-Weyl乘法和广义Bopp变换，然后讨论了电磁场中带电粒子的Hamiltonian算符，最后给出了其在非对易相空间中的能级情况。

By using the algebraic method, we obtain a new formula for the expected hitting time of random walks on strong-connected and aperiodic digrahs (irreducible and aperiodic Markov chain). From this formula, we obtain the explicit expressions for the expected hitting times of random walks on directed de Bruijn graph, directed Kautz graph and some graphs constructed from strong regular graph, etc.

利用代数方法给出了强连通非周期有向图上随机游动（即不可约非周期马尔可夫链）平均首达时间一个新的表达式，并利用这个表达式得到了有向de Bruijn图，有向Kautz图以及和强正则图相关的几类图上随机游动任意两点之间的平均首达时间。

Mathieu[17] discribe the form of Lie derivations on primitive ring whose charater is not 2 and which has no non-trivial idempotent. After that, Miers[18],Mathieu and Villena[19] also study Lie derivations on Von Neumann algebra and algebra.

Martindale[17]首先讨论了特征不等于2且含非平凡幂等元的本原环上的Lie导子的表达形式，随后Miers[18]，Mathien和Villena[19]也分别对VN代数，C~*-代数上的Lie导子进行了刻画。

In the research to demand of International reserves,first, according to the affective character of demand to transition of International reserves, choosing the decision theory of Markov and dynamic transition equation as basic model, the paper has set up two transition methods--- stationary matrix and dynamic matrix, the later matrix has improved the sensitive reaction to time and velocity. Second, combining with knowledge of linear algebra, the paper has analyzed and testified the positive associated relation between transition matrix elements on main diagonal and the convergent speed of system, and explained why international reserves transition embodies the character under new situation and why the transition process can be accelerated by the strike of international idle money. Third,on the quantitative calculating to elements of transition matrix,referring to multiplication theory and decomposing-composing method of system, the paper has transformed main three-factor deciding confidence of international monetary into detail modulus by comparing analysis measure,now the matrix has been decided.

在国际储备的需求分析研究中，本文首先选择马尔可夫转移方程作为基础模型，根据需求对外汇储备结构的影响特点，提出非定常转移矩阵变换方法，拓展了马尔可夫变换对时间和速度的敏感性；结合线性代数知识，分析证明了定常转移矩阵的主对角线元素值的大小与系统的收敛速度的正向关联关系，并利用结论解释了国际货币新动向下外汇储备转换表现出的趋势特点以及国际游资冲击对国际货币结构变化的加速影响；在转移矩阵元素的量化计算上，本文参考乘数理论和系统分解合成原理，采用对比分析方法把影响国际货币信心的三大要素综合量化为转移偏好系数，然后根据转移偏好系数确定转移矩阵的元素值，其中还分别具体给出了定常转移矩阵和非定常转移矩阵的计算方法及在变换中的使用方法，从而不仅在定量分析上应证了定性分析结论，而且反映了随时间变化的美圆、欧元、日圆的比例结构均衡过程。

Color image sequence is presented by multivectors in geometric algebra,it is proved that if meet the constrained conditions for color optical flow analysis,a multivector instead of multichannel image processing method can be used to represent the continued distribution of images to expand the measurement range.

在几何代数域内对彩色图像序列用多重矢量表示，证明了彩色光流场分析时进行约束条件时的测量问题，通过多重矢量而非多通道的图像处理方法来表示图像连续特性，从而扩大了测量范围；然后依据物体色彩在运动过程中保持不变的原理，在几何代数域内推导了彩色图像序列的光流约束方程及其解法。

Considering that body forces and surface forces were both non-conservative force, the quasi-Hamilton principle and the quasi-complementary Hamilton principle of non-conservative elasto-dynamics systems were established.

按照广义力和广义位移之间的对应关系，将弹性动力学的基本方程乘上相应的虚量，然后积分，代数相加，并考虑到体积力和面积力均为非保守力，建立了非保守弹性动力学系统的拟Hamilton原理和拟余Hamilton原理。

The material job and main conclusion are as follows:(1)A simple boundary orthogonalization procedure independence grids generation method is put forward on the base of algebraic grid generation method; Data structure and computational model on interface are established aiming at blocks of structured grids.(2) SIMPLE procedure is established in nonorthogonal grids by use of the finite volume method and in-depth discusses on special topic such as boundary condition in nonorthogonal grids, deferred correction method and grads compute on calculational nodes, and so on.

本文完成的具体工作和主要结论如下： 1以代数网格生成方法为基础提出了一种简单的、可独立于网格生成方法之外的边界正交化技术；针对分区结构网格系统建立了分区交界面处的数据结构与计算模型； 2利用有限体积方法在非正交同位网格系统中建立了SIMPLE求解算法，对非正交网格系统中的边界条件、延迟修正技术及计算节点的梯度计算等专题进行了深入讨论。

Two construction methods for fewer views from limited range—ART and SART are studied, and simulated a physical fields views whose variation of deflection is equal to double-Gauss function, and then reconstructed it, and still analyzed the accuracy of the reconstruction methods.After study and analysis on the theory of ART and SART, and after analysis the properties resulted from their theory root cause, A modified simultaneous algebraic reconstruction method is presented, which is based on ART, this method takes into account both the pixel itself and the pixels close by it which are crossed by the same ray.

论文研究了两种有限投影方向的非轴对称场的CT重建算法——代数重建法和联合代数重建法，并用VC++程序模拟实现了折射率分布为双高斯函数的场的正向投影及重建过程，并对所用算法的重建精度进行了分析。

It is the first time to give the formulae of non diagonal matrix elements of tensor operator s which can be employed to describe the ro vibrational interaction for linear tetratomic molecules.

利用Lie代数方法研究了四原子分子振转相互作用，在代数框架内首次给出四原子分子振转相互作用的张量算子非对角矩阵元的表达式，利用这些表达式对线型四原子分子HCCF振转相互作用的l doubling进行了计

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。