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The geometric optimization of C_(59)Sm and C_(60)Sm shows that the replacement of a C atom with a Sm in C_(60) yields a stable substitutionally doped fullerene C_(59)Sm, and among the five possible optimized geometries for C_(60)Sm, the most favorable exohedral sites are above the center of a hexagon and a pentagon ring.

替代掺杂富勒烯C_(59)Sm与外掺杂富勒烯C_(60)Sm几何结构与电子结构分析表明，以Sm原子取代C_(60)分子中的一个碳原子后碳笼仍保持稳定的替代结构，而对五种可能的C_(60)Sm结构，Sm原子倾向于栖息在六碳环与五碳环的空洞上方。

Based on the technique of PIV,We calculated the light intensity of the bubble interface and discovered that the intensities of lighr reflected or refracted twice succeedingly abide by the rules of geometric series , and the light will disappear after reflecting or refracting 4 times by the bubbles.

基于粒子成像测速的流体可视化技术，根据菲涅耳公式计算了入射到水中气泡界面的光强，得出点光源连续两次反射或折射的光强具有等比数列的规律，光线在气泡界面反射、折射4次就变成完全偏振光且光线几乎消失。

For m-modal maps with m turning points C1,C2,…,Cm, by defining equivalent scaling factors α_e as the geometric average of all scaling factors α_Ci (i=1,2,…,m),|α_e|=|α_C1α_C2…α_Cm|1/m, global superuniversal relationship between equivalent scaling factors α_e and fractal dimensions d of Feigenbaum-type attractors on all the infinitely many critical points of transitions to chaos is obtained: dlog_|α_e|=β~, where|W| is the basic period of the m-tuply superstable sequences W, and β~ is not only independent of the concrete sequences W, but also independent of the concrete maps.

对于具有m个转变点C_1，C_2，…，C_m的m峰映射，通过定义等效标度因子α_e为所有标度因子α_(i=1，2，…，m)的几何平均，|α_e|=|α_(C_1)α_(C_2)…α_|~(1/m)，得到了等效标度因子α_e与所有无穷多个转变至混沌的临界点上Feigenbaum型吸引子的分维d之间的一个整体性的超普适关系：dlog_|α_e|=β~(e，其中|W|是m超稳序列W的基本周期，超普适常数β~(e不仅不依赖于具体的序列W，而且也不依赖于具体的映射。

For m-modal maps with m turning points C1,C2,…,Cm, by defining equivalent scalingfactors α_e as the geometric average of all scaling factors α_Ci (i=1,2,…,m),|α_e|=|α_C1α_C2…α_Cm|1/m, global superuniversal relationship between equivalent scaling factors α_e and fractal dimensions d of Feigenbaum-type attractors on all the infinitely many critical points of transitions to chaos is obtained: dlog_|α_e|=β~, where|W| is the basic period of the m-tuply superstablesequences W, and β~ is not only independent of the concrete sequences W, but also independent of the concrete maps.

对于具有m个转变点C_1，C_2，…，C_m的m峰映射，通过定义等效标度因子α_e为所有标度因子α_(i=1，2，…，m)的几何平均，|α_e|=|α_(C_1)α_(C_2)…α_|~(1/m)，得到了等效标度因子α_e与所有无穷多个转变至混沌的临界点上Feigenbaum型吸引子的分维d之间的一个整体性的超普适关系：dlog_|α_e|=β~(e，其中|W|是m超稳序列W的基本周期，超普适常数β~(e不仅不依赖于具体的序列W，而且也不依赖于具体的映射。

Similarly, Wiske (1990) concluded from her study of high school teachers who used Geometric Supposer that teachers need a deep and wide knowledge of their subject matter and a clear understanding of the process of building mathematical understanding to use the software effectively.

同样地， Wiske(1990)从她的中学老师老师需要建筑数学的理解有效地使用软件的他们的主题物质和程序的清楚理解的深和广泛知识二手的几何学的 Supposer 的研究总结。

To locate the critical failure surface of slope, and achieve the surface geometric parameters is a real challenge to engineers, especially in some complex slope geo-conditions, for the sake of its tanglesome multifactor and nonlinearity.

许多复杂的边坡稳定性分析中，边坡潜在危险滑动面的搜索是个重要而又非常复杂的非线性优化问题。

The mechanism of clonidine conformational isomerization and tautomeric reaction has been studied and the geometric parameters of transition states have been located by B3LYP/6-31G**.

为了考察氯苯的共轭效应对可乐定互变异构体稳定性的影响，在B3LYP/6-31G**水平上，研究了2-氨基-2-咪唑啉的互变异构化反应机理。

The theoretical properties of BTATz were estimated by a B3LYP method based on 6-31G basis set. The stable geometric configuration and bond order were obtained. The vibrational frequencies, IR spectrum and thermodynamics properties under different temperatures were obtained from vibrational analysis, and the relationship between temperature and thermodynamics properties was deducted. Pyrolysis mechanism of BTATz was discussed, and the transition state and activation energy of ring opening reaction of the tetrazole were deducted.

用B3LYP方法，在6-31G基组水平上对其性能进行了计算，得到了其稳定的几何构型和键级；在振动分析的基础上求得体系的振动频率、IR谱及不同温度下的热力学性质，并得到了温度对热力学性能影响的关系式；探讨了其热解机理，推断出四唑环开环时的过渡态和活化能。

The topologic properties were analyzed by using these static geometric quantities.

运用这些静态几何量进行了网络的拓扑特性分析。

In summary, the dissertation has improved the traditional geometric design methods for the high-speed circuit in the aspects of design index system, plan design, transection design and the 3-diamension-design technology on the basis of summarizing the experience of design, construction and operation of the high-speed circuits all over the world.

总之，本论文在总结世界各国高速环道设计、施工和运营经验的基础上，从设计指标体系、平面及横断面设计方法、三维一体化设计技术等多方面对传统的高速环道几何设计方法进行了较大的改进和完善。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。