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It was also found that the film of smaller grains corresponded to a smaller lattice constant of the garnet structure, which implied that fewer Bi〓 ions substituted into the dodecahedral sites in the garnet, due to the fact that the smaller grains resulted in more grain boundaries, thus leading to more serious Bi segregation in the grain boundaries.

分析表明，细小的晶粒意味着薄膜中含有更多的晶界，这样将导致Bi组分在晶界上的偏析较显著，而进入石榴石结构中氧十二面体间隙的Bi〓较少，对于Bi，Al∶DyIG来说，石榴石相晶格常数与{Bi〓}〓呈正相关关系，由此可以解释具有细小晶粒的薄膜对应较小的石榴石相晶格常数。

Cities flowing on the earth one by one, at contemporary society, globalize, capitalism, and epicureanism have already make the boundaries between cities became blur. The boundaries between on-line and off-line, city and country, global and local have all been mixed into a splendor Flower, the habitants of modern cities are mass Flow-er, and they trying to change the cities itself by large consuming, it makes the cities at last became the Flowing City. The students from the Institute of Applied Art, Chiao-Tung University, will try to show off the splendor Flowing-City by their own view in art and design.

一座座的城市漂浮游移在地表上，在当代社会中，全球化、商品化以及享乐主义已经令城市的界线逐渐的模糊，实体及线上、城市与乡村、国际与地域的界线都逐渐的消弭成为艳丽的花朵，城市没有固定的居民，而是被大量的流动者在不停的消费刺激中加速城市的变化，最后促使城市成为一座座的漂浮城市，国立交通大学应用艺术研究所的同学将试图以各自的艺术及设计语言，勾勒出艳丽异常的漂浮城市。

Then, a group of beelines are used to approximate the boundaries of the plates and the Fourier expansion method is applied to the boundary conditions along the plate boundaries.

其次，用一组直线段近似板的边界，并对边界作Fourier展开，作相应的阶次截断后，得到固有频率方程。

Its political antenna becomes more and more globalist just like its economicalantenna, transcending boundaries between countries and limited regional boundaries.

它不仅体现在政治和外交领域，而且体现于军事领域，即新干涉主义的甚嚣尘上。

Relative hydraulic conductivity is first evaluated cell boundaries by using full upstream weighting, the arithmetric mean, or the geometic mean of values from adjacent cells. Saturated hydraulic conductivites are evaluated at cell boundaries by using distance—weighted harmonic mean.

首次采用分散平均方法估算水力传导率，即运用上风权重法来估算单元边界的相对水力传导率，运用距离权重调和平均法来估算单元边界的饱和水力传导率。

The third, the pressure distribution in mixed boundaries reservoir is studied. It is shown that the finite element method is easy and valid in solving problems with complex mixed boundaries,It provides

利用Fortran 90编制了一个数值模拟器，该模拟器采用高度结构化和模块化的设计思想和方法，结构严谨，计算效率高，便于维护和扩充。

Given a mesh, we first solve a Poisson equation to construct a scalar field and use it to generate some critical points. The cutting paths between the critical points and the boundaries are solved in the Poisson scalar field using the deepest descent method. For meshes with nonzero-genus, we construct a Harmonic scalar field, and connect the saddle points with the boundaries based on the Morse theory.

对于给定的任意网格，通过求解泊松方程构造标量场来选取临界点，并采用最速下降法给出临界点到边界或者初始点的切割路径；对于亏格不为零的网格，基于Morse理论，通过构造一个调和标量场来得到鞍点，并将它们连接到边界。

According to the different orientations of domain walls with respect to the (100) observation plane of a foil, 90°domain boundaries may be divided into two kinds. one is thin lens or ring shaped a-a 90°domain boundary, and the domain wall lies on the {110} plane; Usually, most of these domain boundaries are uncharged; according to the extinction rules for the (011) domain walls, the displacement vector 〓 along 〓 can be dertermined, which is parallel to the line of intersection between the domain wall and the plane consisting of spontaneous polarization vectors on both sides of domain boundary; from selected area electon diffraction of crystals including domain boundary, we not only examine slight difference in the crystal parts on both sides of the domain boundary, but also obtain crystallographic relationship between them, that is, there exists a 180°rotation symmetry operator along a normal of domain wall. The other is Z or ring shaped a-c 90°domain boundary along {010} direction, and the displacement vector 〓 runs along 〓 direction.

根据界面相对于样品中(100)观测面取向的不同，90°畴可分为两类：一类为薄透镜片状或环状的a-a90°畴，其界面平行于{110}，多数不带电，由消光规律可确定其位移矢量平行于畴界面与自发极化所在平面的交迹，即，〓方向，而从包含畴界的选区电子衍射图可知，这种不带电的90°畴界两侧存在微小的取向差，其界面两侧的结晶学关系为以界面法线为二次轴的旋转关系；另一类为Z状或环状的a-c90°畴，其界面平行于[010]或[001]，相应的位移矢量为〓方向。

The classical overlapping Schwarz methods try to transport boundary information by exchanging message on the artificial boundaries. However because of taking Dirichlet conditions as the transmission conditions, which makes the solution reflect when across the artificial boundaries, classical overlapping Schwarz methods converge very slowly—suppose the overlapping domains take a little percentage.

人们很早就认识到，在Schwarz方法中可以采用其它的内边界条件—如Robin条件来代替Dirichlet内边界条件，而且也注意到如果参数选取合适，那么这些内边界条件可以大大加快Schwarz方法的收敛速度。

National boundaries, however, are not always the same as the boundaries of a speech community.

然而国界并不一定是一种语言群体的分界线。

I was just taking her hand, to help her out of a car, and I knew it.

我只是握着她的手，扶她下车，但我知道这一切。

China and South Korea have excoriated Japan over its approval of new school books which they say whitewash the atrocities committed during Japanese occupation, and anti-Japanese protests have been held in Chinese cities. The lingering bitterness over Japan's past imperialism still threatens to mar relations between the big East Asian powers

中国和韩国强烈谴责日本通过新的中学历史教科书，他们认为这一教科书掩盖了日本在其占领期间所犯下的残酷暴行，反日抗议活动在中国数座城市发生，历史上日本帝国主义制造的痛楚无法被忘却，这有可能破坏东亚强国间的关系。