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We proved that the Cayley graphs of order $pqr$ are edge-Cayley graphs if its generating set has an element of order $p$.

证明了$pqr$阶群上的Cayley图，当其生成集中含有p阶元时，Cayley图是边-Hamilton图。

In this paper, 3ds model file format is analyzed and adopted as a primary representation of the geometric model in virtual environment. The feasibility and generality are investigated from the point of view of principle, practical application and experiment result. It is proved that, for application not very complex, it is a practical way to adopting 3ds model and relative 3-d modeling software to establ...

该文采用了 3DS模型文件作为虚拟环境中几何模型的主要存储格式，并且从理论上、实际应用方法以及试验仿真结果几个方面分析了该方法的可行性、通用性，说明了在要求不高的条件下，采用 3DS模型和相关的三维建模软件进行虚拟现实研究工作是一条现实的途径

With analyzing structure features of sheet metal parts, the geometrical information model is built on the basis of the hierarchy of structure feature, structure element and geometrical element.

2分析了钣金零件的结构特征构成，建立了"结构特征—结构要素—几何要素"的三层几何信息模型，并采用树结构组织模型几何数据，分别给出了框肋零件、整体壁板零件和蒙皮零件的几何信息模型；分析了状态衍化中的结构要素变化类型和成形工序对结构要素变化的影响，采用加权图描述了状态衍化中结构树的变化；对应零件几何信息层次构成，建立了钣金零件结构特征的XML模式，分别举例说明了各层几何信息的XML表达，形成了基于XML的钣金零件数据表达方法。

The paper presents how to use the technique of OLE and ARX of AutoCAD to build the geometrical model, the finite element model of the given structure visually and use the template and wizard to build the optimization model of it. During the iterative process of the optimization, the method of tracing visualization and interactive control is also provided. Some examples are given to show the appliance of visualization aided structural optimization. Finally, the work of systematic integration is carried out.

同时论述了在优化建模中运用OLE ARX技术实现可视化地建立优化对象的几何模型，结构有限元模型，以及使用模板和专家向导来辅助建立优化模型；在优化迭代过程中实现了跟踪可视和交互式监控，以具体的例子说明了在可视化技术辅助下的结构优化在工程中的应用。

This last property illustrates why, in general, three-dimensional space is required for the geometrid realization rather than two-dimensional space.

这后一性质说明了为什么几何实现一般需要用三维空间而不是二维空间。

Based on the establishment of a model of silicon dioxide structure, the effect of germania concentration across the fiber core on Raman gain spectrum was analyzed by the method of Gaussian decomposition.

分解图谱表明掺杂物破坏了二氧化硅的分子结构，并在拉曼增益范围内产生了新的峰值，从理论上证明了光纤掺杂物对拉曼增益系数和增益谱的影响。

According to engineers at Fraunhofer Gesellschaft, the German company that invented much of the MP3 standard,"Hound Dog" is perfect for MP3;recorded in monaural sound in 1956, it's full of hisses and pops that MP3 conversion software actually can eliminate.

据fraunhofergesellschaft公司（这家德国公司发明了mp3的大部分标准）的工程师称，1956年录制的单声道"hounddog"完全适合mp3，它充满了嘘声和击打声，mp3转换软件实际上是可以把它们去掉的。

Firstly, the important faces of the process of precipitation of sodium aluminate were calculated preparatory using Bravais-Friedel Donnay Harker method. Secondly, the equilibrium morphology calculations were processed on gibbsite 3×4×2 super cell and its (001),(100),(010),(011),(110),(101) and (112) slab models.

首先，用BFDH法说明了生长过程中最重要的面；其次，采用晶体平衡形态法，用Morphology程序对氢氧化铝3×4×2超晶胞及其(001)，(100)，(010)，(011)，(110)，(101)和(112)面真空slab模型进行平衡形态计算，计算结果与实验结果吻合，很好地预测了各显露面族(001)，(100)，(010)，(011)，(110)，(101)和(112)面族。

With the calculation of ansys, this paper indicate that glass fibre reinforced plastics-concrete

本文通过ansys 有限元软件计算，分析说明了玻璃钢-混凝土复合材料结构将有力的提高结构的强度和刚度。

The coincidence of the two shows exemplifies the glitzy entertainment and sabre-rattling that are so close in Kremlin ideology.

两场表演的巧合说明了在克里姆林宫的意识形态中，眩目的娱乐与武力展示十分相近。

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。