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By means of the difference discrete variational principle, discrete Legendre transformation and discrete version of the E-L cohomology, for a kind of regular meshes we''ve found there is a kind of symplectic/multisymplectic structures with corresponding symplectic/multisymplectic finite element method/mixed finite element method schemes.

利用差分离散变分原理、离散Legendre变换和EL上同调的离散形式，对于正规网格找到一类有限元和混合有限元的辛或多辛结构，以及相应的辛有限元/混合有限元格式。

Ngai and Wang [9] introduced the notion of finite type and described a scheme for computation of the Hausdorff, Box dimension when the finite type occurs, which, however, forces the ratios to be exponentially commensurable.

Ngai和Wang[9]提出了有限型的定义并给出了当迭代函数系统是有限型时计算系统吸引子Hausdorff，Box维数的方法，但有限型的定义要求相似变换的压缩比必须满足对数值可公度。

Polynomial function ; Finite commutative ring ; Finite commutative local ring; Teichmller representatives; Witt polynomial

基础科学，数学，代数、数论、组合理论多项式函数；有限交换环；有限交换局部环； Teichmller提升； Witt多项式

On the other hand, finite difference and finite element methods use bases with small compact support but poor continuity properties.

小波基函数在空间域和频率域中都具有局部性特征，它的性质优于有限差分法、有限元法和伪谱法中所用的基函数。

The following two open problems in the component theory of complete lattices are studied:(1) In a non distributive complete lattice, is it true that any component of an element with finite width is also finite wide?

：研究了完备格成分理论中两个尚未解决的问题：在非分配的完备格中，有限宽元素的成分也是有限宽的吗？

Through constructing a counterexample it is showed that there is a non distributive complete lattice in which a component of some element with finite width is not finite wide....

通过构造反例证明了在非分配的完备格中，有限宽元素的成分不必是有限宽的；还证明了完备格间的同构映射能保持颗粒表示性质和颗粒性质，通过反例证明了同构映射的条件不能减弱，从而解决了以上两上问题。

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。

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。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。