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If R satisfies =0 for any elements x ,y in R then ⑴when k =1, R is commutative;⑵when R has the unity, R is commutative;⑶when R has at least one right regular element and f 2 (t 1,t2) has no terms with degree1 such that Fn= F then R iscommutative when R has at least one right regular element. Here we would like to point out that the above results generalized the results of Fu changlin ,moreover generalized some results of other references . This results enriched the commutative conditions of any ring.

若任取R 中元x， y均有=0 那么⑴k =1时R 为交换环；⑵R 有单位元时R 为交换环；⑶f_2 (t_1，t_2)中t_2的次数不小于k -1且R 中至少有一个右正则元时R 为交换环。

By using the spectrum approximation theory of compact operator, the approximation of anisotropic nonconforming ?nite element method for Stokes eigenvalue pronlem are presented and the optimal error estimates are obtained, which are as same as those of traditional ?nite element methods.

利用紧算子谱逼近理论，给出了 Stokes 特征值问题的各向异性非协调有限元逼近方法及最优误差估计，得到了与剖分网格满足正则性或拟一致性关键假设下相同的收敛效果。

After analyzing five samples of the nickel based alloy, with different content of element Co, it was found that the intensity ratio of the analysis spectrum, Co393.60nm, and the comparison spectrum, Fe 393.03nm, is of strong linear and positive relationship with the content of the element Co.

使用Co393.60nm谱线为分析谱线，Fe 393.03nm谱线为比较谱线，对5种不同Co元素含量的镍基高温合金标准样品进行了分析测定。

In this thesis, the concept of L-graphfor a complete lattice with a largest element 1 and a smallest element 0 (0≠1)is introduced, which is generalization of fuzzy graph, and the main properties ofL-graphs are studied systematically.

在此基础上，本文就有最大元1和最小元0(0≠1)的完备格L，给出了L-图的概念，并较为系统地研究了L-图的一系列性质。

By compared data, we learned that the complex model imitates close to experiment results, and the shear strength by simplified model of finite element analysis is quite closer with test results.Through the test results and finite element analysis, we can draw a conclusion that the wall we tested can satisfy engineering application.

笔者将有限元分析结果与试验结果进行了对比分析：考虑细节的复杂有限元分析模型的模拟结果在一定范围内较接近试验结果，采用有限元分析简化模型计算得到的墙体试件抗剪强度和试验结果更为接近。

The problems by using 2D finite element computing modeling to study the local magnetization for tank floor are analyzed, and 3D finite element modeling is set up.

在比较了多种研究材料内部磁场分布的方法的基础上，分析了二维有限元模型在研究局部磁化中存在的问题以及采用三维有限元计算的必要性。

A condition existing within or at the output of a computing element that causes a substantial computing error because of the saturation of one or more of the parts of the computing element in an analog computer.

在模拟计算机中，由于一个或多个计算元件部分的饱和状态而引起的明显的计算错误，这种错误在相应的计算元件输出上就表现为过载状态。

Based on analyzing characteristic of heat exchange with finite element method, the paper transforms the finite element computing problem into a nonlinear optimizing one with some restriction, and solves it using the Hopfield neural network.

根据热传导有限元分析的特点，把有限元计算问题转化为带约束的非线性优化问题，并给出求解决该问题的改进Hopfield网络，最后对一个简单温度场神经计算进行数值仿真。

The paper investigates finite element theory、mechanical vibration theory、thermal mechanics theory. It analyzes and researches torpedo car structure through summarizing the practical project experience. This paper establishes the reasonable finite element computing model. So as to make sure the computation gets analysis results more accurate.

本文研究了有限元理论、机械振动理论、计算机辅助工程分析方法和热力耦合理论，在总结实际工程经验的基础上对混铁车罐体结构进行分析研究，建立了合理的有限元模型，以求达到相对精确的分析结果。

Every connected, compact Lie groups G contains a maximal torus T. This maximal torus is unique up to conjugation, and every element of G is conjugate to the element of the maximal torus.

每个连通紧李群具有极大环面子群，任二极大环面子群彼此共轭，且连通紧李群中每个元素共轭于极大环面的一个元素。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。