两分

Regular Fractal Dimension Calculation is discussed by using Koch Curve and Cantor Ternary Set.Additivity of regular fractal dimension is discussed by continuation of Koch Curve with line and Cantor Ternary Set in vertical direction.CircumferenceArea,Variation,Grid and Radius methods of calculation statistical fractal dimension are introduced.

本文以科赫曲线与康托尔三分点集为例，讨论了有规分形维数的计算；以科赫曲线在垂直方向的两种拓展为例，讨论了有规分形维数的加和性；以周长—面积法、变量法、网络法与半径法为例，介绍了无规分形维数的计算方法。

It locates on the southeast part of the province,the north edge of the Pearl River Delta.It covers an area from 112°57'E to 114°3'E and 22°26'N to 23°56'N.The city is next to South China Sea and closed to Hongkong and Macao.As the traffic interchange and international trade port of the South China area,Guangzhou is also regarded as the "South Entrance" of China.On June 2000,after the two County-level city,Fanyu and Huadu was established by region,Guangdong became the costal city of the Southern China.

广州地处广东省东南部，珠江三角洲北缘，范围为东经112度57 分-114度3分，北纬22度26分-23度56分，濒临南海，毗邻香港和澳门，是华南地区的交通通讯枢纽和贸易口岸，是中国的"南大门"。2000年6月，番禺、花都两县级市撤市设区后，广州成为中国南方的海滨城市。

Moreover, in the parameter plane determined by some two parameters,we discuss codimension two bifurcations caused by the intersections of two bifurcating curves.

同时，在两个参数确定的半参数平面上，我们通过分岔(来源：46e646ABC论文网www.abclunwen.com)曲线的交点讨论了余维2分岔的存在性，即等变Pitchfork-Hopf分岔和Hopf-Hopf分岔。

The phase-shifts caused by reflection and transmission of the beam splitter were investigated by its eigen-martix.The general relationship between these phase-shifts of two splitted beams used for coherent combining was obtained,then the fact that when constructive interference occurs in one side of the beam splitter and the destructive interference has to occur in the other side was explained in the point of phase-shift.

利用分束器的特征矩阵研究了分束时产生的反射与透射相移，得到了两束相干光经过分束器分束后进行相干叠加时相移满足的普适关系，从相移的角度解释了分束器一侧发生相长干涉时另一侧必然发生相消干涉这一现象。

This makes more and more people pay more attention to studies and applications of numerical simulation in thermal recovery. In this research, we have developed a reliable mathematical model for thermal recovery, which takes a full consideration of the effect of viscos, gravitical and capillary forces on the three-phase flow of gas, water and oil, the effect of the temperature on the medium characteristics of liquid and solid, the phase equilibrium of gas-liquid in each component, heat transportation including connection, conduction and radiation as well as heat losses in both the overburn and underlying strata. In the space discreation of the mathematical model, we have proposed a new method based on the improvement of the conventional nine-points difference approximation, which has a higher difference accurancy.

本项研究以热力采油的主要机理为基础，充分考虑在粘性力、重力和毛管力作用下油水气三相流动，考虑温度对各种流体和固体介质物性的影响，考虑每一组分中汽液两相的相平衡，考虑热在地层中的传导、对流和辐射以及上下盖层的热损失，利用热力学第一定律、质量守恒定律和流体迁移定律，建立了正确可靠的注蒸汽数学模型；在对数学模型进行空间离散时，利用控制有限体积积分法，对以往的九点差分近似作了合理的改进，使其具有较高的差分近似精度：结果表明，该公式的近似精度要比以往文献中所给的九点差分近似精度高，可以认为，在油藏数值模拟中，如果遇到非均质情况，使用这种九点差分近似更合理。

Firstly,the differential equation with parameters is given,at the same time,in order to let the truncation error of differential equation reach O(Δt~2+Δx~4) as high as possible,the method of undetermined coefficent is used to appropriately select the expression of these parameters.Secondly,the stability condition of the scheme derived is given by using the Fourier method of stability analysi...

首先给出了含参变量的差分方程，并用待定系数法适当地选取了这些参数的表示式，以使差分方程的截断误差阶尽可能高地达到了O(Δt2+Δx4)；其次用稳定性分析的Fourier方法给出了所得格式的稳定性条件；然后给出了确定差分格式中参数的两种方法，得到了一个稳定性条件为r/3的分支稳定的高精度显式差分格式；最后给出了数值例子，数值结果表明了本文格式较现有同类格式的优越性和理论分析的正确性。

Secondly, it is not the same fractal diagram by the same codes of IFS to produce fractal diagram. The two graphs are extraordinary similar, but they are different in detail. The problem is researched and the algorithm which calculates the intersection points of two graphs created by the same coefficient of the IFS is proposed. The curve described changing of the intersection points number is drawn. The conclusion is that the curve fluctuates in the tiny range and is smooth when it is seen as a whole. In fact, the curve is a fractal curve.

其次，针对同一IFS迭代码两次迭代绘制得到的分形图并非完全相同这一问题展开研究，提出了IFS分形覆盖相交交点变化曲线的概念，给出了覆盖相交交点变化曲线的绘制算法，在此基础上进一步研究了分形覆盖相交交点变化曲线的变化率情况，得到了分形覆盖相交交点变化曲线宏观上比较光滑，但实际上小范围内异常波动的实验结果。

The normal and curvature are significant geometry information for 3D point clouds.

差分坐标以其相关之拉普拉斯运算子在三维数位几何模型上已有许多的研究及应用，顶点的差分坐标计算是由顶点与拓扑上之相邻点的相对位置关系所求得，因此顶点之差分坐标代表了区域曲面起伏变化情况，差分坐标其方向会近似於区域法线方向而其长度会近似予区域平均曲率，此两项资讯为点云资料重要几何资讯。

Results: by the end of 4 weeks, there was significant difference in efficacy between A、C groups and B groups（P＜0.05）,by the end of 6 weeks, there was significant difference in efficacy between c group and A、B groups ,there was no significant difference in efficacy between A and B group(P＞0.05),and the doses of imipramine and the TESS scores of C group were significantly lower than that of B group.

结果：三组病人在治疗后4周时，A、C两组减分与B组减分差异有显著性（P＜0.05）；治疗6周时A、B两组差异无显著性（P＞0.05），C组效果显著优于A、B两组（P＜0.01），且C组丙咪嗪剂量和TESS评分明显低于B组。

The results showed that with the increase of nitride partial pressure in the range of 2. 0～8. 0×10〓Pa, the hardness of NbN, TaN single layer films decreased, but the hardness of TiN films kept unchanged. The crystal structure of TaN films changed from the mixture of tetragonal β-Ta and faced-center cubic δ-TaN to hexagonal TaN and that of NbN films from FCC δ-NbN to hexagonal ε-NbN. The crystal structure of TiN films is FCC in all the range of partial pressure researched.

研究结果表明：在2.0～8.0×10〓pa的氮分压之间，随氮分压的升高，TaN和NbN薄膜硬度下降，而TiN薄膜的硬度值不随氮分压的变化而变化；TaN薄膜的相结构由低氮分压时的正方β-Ta和面心δ-TaN所组成的两相混合物过渡到六方TaN结构，NbN薄膜则由面心立方结构的δ-NbN逐渐过渡到六方结构ε-NbN，而TiN薄膜的晶体结构基本不随氮分压的变化而变化，均为面心立方结构。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。