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In this paper, the space-time finite element theory and its application technologies are studied and discussed. Furthermore the space-time finite element method is used to analyze the transient characteristics of electromagnetism equipments. The work is important to develop the numerical method for the transient electromagnetic field. The detailed work is as follow.In the basis theory of finite element method used in the transient engineering problem, the functional theory and the finite element theory are applied to studied the existence condition of a generalized variation principle, which is the basis of the space-time finite element method.

本文在完善时空有限元法的基础理论和应用技术并将该方法应用于解决电磁装置的瞬态过程分析等相关方面进行了深入的研究与探讨,该工作对于发展瞬变电磁场问题的数值计算方法具有重要的意义,为此进行了如下几方面的工作:在工程瞬变问题的有限元方法的基础理论方面,本文应用泛函理论和有限元理论,系统讨论了一般工程瞬变问题的变分定理的存在条件及对应的变分定理。

First, the paper presents mathematically the existence of a solution in the weak formulation of SBV space.

首先在数学上指出了 MS泛函弱解在 SBV函数空间中的存在性,然后讨论了计算弱解的数值逼近方法。

The existence of positive periodic solution is obtained by the help of Mawhin continuation coincidence degree theory and the global attractivity of positive periodic solution is presented by Lyapunove method.

推广和改进了已有的相应的非脉冲微分方程的结论;利用Lyapunov泛函,得到了该系统正周期解是全局渐近稳定的,从而得到了周期解的存在唯一性,通过数值模拟来验证了所得到的结果。

For various kinds of surfaces used in S_SOLID, a new surface/surface intersection algorithm is presented which adopts analytical, numerical, geometrical, subdivisional, and implicitizational methods.

针对S_SOLID系统中采用的各种几何表面,设计了一种解析、数值、几何、分割和隐函化相结合的曲线曲面求交算法。

In NWFM,to solve self-consistently the set of DFT Kohn-Sham equations,nuclear weight function is employed for numerical solution of multicenter integra-tion,which decomposes the problem of three dimensional integration to a sum ofone-center,atomic-like integrations.

首先介绍如何利用线性组合的原子轨道方法求解密度泛函理论中的K-S方程;接着详细地说明了核权重函数的概念,并列出了两种常用的核权重函数形式,同时阐述了如何利用核权重函数求解包含多中心积分的矩阵元以及复杂的三维泊松方程以获得电子间库仑势的方法;然后给出了求解矩阵元、有效势以及体系总能的具体数值计算公式。

In this dissertation, we investigate the theory of fuzzy number space and the space of fuzzy-valued continuous functions, the main works of this dissertation are as following: 1. We use some properties of fuzzy numbers to give a generalization of Bolzano theorem in classical analysis to fuzzy number space (E1, d∞).

本文研究了模糊数空间和模糊数值连续函数空间的有关理论,主要内容如下: 1 利用模糊数的相关性质,给出了经典泛函分析中 Bolzano 定理在模糊数空间(E1, d∞)中的推广。

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I didn't watch TV last night, because it .

昨晚我没有看电视,因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来,在北京的很多小区里,电梯液晶电视被撤了下来。

I'm running my simile to an extreme.

我比喻得过头了。