几何的

So, the aromaticity of acenaphthenyl groups in C_2 gum should be the least. In order to explain the reason, quantum chemical calculation is utilized. The optimized geometrical structrures of condensed aromatics in C_1 gum, C_2 gum and C_3 gum are calculated at B3LYP/6-31G* levels. We find that some phenyl groups in acenaphthenyl groups are coplanar and have the largest conjugated structure.

为了解释其原因，我们利用量子力学方法进行了计算，研究了三种稠环基团在B3LYP／6-31G*基组水平下优化得到的几何结构，发现苊式多苯基苯基中的萘环和中间的苯环共面，电子离域性最大，而其他二者所有苯环都不共面，发生了明显地扭曲；同时，在优化几何结构的基础上，对三种化合物进行了前线分子轨道的分析，利用密度泛函理论方法(density function theory，DFT)计算了稠环基团的最高占有轨道和最低未占轨道之间的能量差，即能隙，发现C_2胶上苊式多苯基苯基的Eg最小，解释了C_2胶具有最好的辐射保护效果的原因。

Besides having a some insight into theinternal structure of operator algebras,it gives a greatimpetus to the development of modern mathematics towords thenon-commutative direction,especially to the developement ofnon-commutative geometry,non-commutative algebraical topologyas well as non-commutative algebraical geometry.

除了反映算子代数自身的内在性质之外，它还对于现代数学朝着非交换的方向发展起着积极的推动作用，特别对于&非交换微分几何&，&非交换的代数拓朴&，甚至&非交换的代数几何&等非交换的数学学科的发展具有重要的影响。

In aim at the complicity and high-dimensional state-space for the controlled system, it simplifies the calculation of geometric polytope by optimize with ellipsoidal approximate techniques, and the robust control effectiveness near to the optimal.

本论文所提示的基于几何理论的约束非线性控制算法是建立在最大输出允许集合的基础上，运用状态空间的有界子集表达鲁棒时优离散时间控制问题的价值函数，通过逆序计算该价值函数的水平集合，求得其所需的控制量，针对被控系统的复杂性及高维状态空间问题，运用椭球近似技术予以优化，使得几何多面体的计算得以简化，且鲁棒控制效果接近最优。

The geometrical morphology of Radiolaria reflects the potential provided by the mega-printer, able to build any complex geometry without the use of provisional, temporary formwork or disposable, expensive moulds.

几何形态的放射虫反映所提供的潜在的大型打印机，能够建立任何复杂的几何形状，而无需使用临时的，暂时的模板或一次性的，昂贵的模具。

Probes into the strategies of integration teaching about DGS and geometry teaching Based on the practical analysis of integration teaching from the experiment, integration strategies on DGS and geometry teaching are advanced as follows: strategies of accuracy-based figure-to-data transformation; strategies of abundance-based generalization; strategies of dynamic-based test-driving; strategies of scene-based pre-generation; strategies of dynamic variability-based extending.

3DGS技术与初中几何教学整合的策略探究根据对微型整合教学实验的具体分析，本研究归纳和梳理了有关DGS技术与初中几何教学整合的主要策略：基于精确性的形数转化策略；基于丰富性的概括抽象策略；基于形象性的证明驱动策略；基于情景性的预设生成策略；基于动态性的拓展延伸策略。

Probes into the strategies of integration teaching about DGS and geometry teachingBased on the practical analysis of integration teaching from the experiment, integration strategies on DGS and geometry teaching are advanced as follows: strategies of accuracy-based figure-to-data transformation; strategies of abundance-based generalization; strategies of dynamic-based test-driving; strategies of scene-based pre-generation; strategies of dynamic variability-based extending.

3DGS技术与初中几何教学整合的策略探究根据对微型整合教学实验的具体分析，本研究归纳和梳理了有关DGS技术与初中几何教学整合的主要策略：基于精确性的形数转化策略；基于丰富性的概括抽象策略；基于形象性的证明驱动策略；基于情景性的预设生成策略；基于动态性的拓展延伸策略。

The cylindrical film holes are 45° inclined and perpendicular oriented, there are totally fourteen holes placed on one ribbed wall. Geometrical parameters such as rib angle (45°, 60°, 90° and 120°), rib height (h/e=1.0, 2.0), location of the hole relative to rib on the discharge coefficients and pressure loss characteristics are all studied systematically.

实验中主要研究了肋的角度(θ=45°、60°、90°、120°)、肋的高度(h／e=1.0、2.0)、肋与气膜孔的相对位置、通道横截面的高宽比(H／W=0.5、1.0、2.0)等几何参数对气膜孔出流特性的影响，以及肋的几何结构、气膜孔的出流对通道流阻特性的影响。

In the second part of of this thesis, we firstly derivate the operation condition of intracavity SHG of dualwavelength laser from the rate equation, and then numerically calculate the relationship between the laser operation parpmeters and the pumping powers. And then we discuss two possible ways to get balancing outputs of the harmonic waves of the two wavelengths. By comparing the two ways, we find that the method by increasing the geometrical factor of 1079. 5nm SHG has the higher efficiency than the method by adding the additional loss of 1079. 5nm basic wave. Besides, the first method is easier to realize in experiment than the second method.

本论文第二部分从速率方程出发，通过求解速率方程的稳态解得到了Nd：YAP腔内倍频双波长激光的连续运转条件，数值计算得到了随泵浦功率变化的激光运转情况；计算、分析了通过增加主波长的倍频耦合几何因子和增加主波长的腔内损耗两种方法获得均衡的双波长倍频输出的运转情况，通过二者的比较，发现增加倍频耦合几何因子的方法比增加损耗的方法效率更高，而且在实验上更易于实现。

This thesis makes use of complex numbers to study geometry. It mainly considers the following questions: using complex numbers to express collected points and curves on the level;geometric applications of complex numbers on collinear,concurrent,round,Mobius Mappings of Complex numbers problems,etc..Meanwhile,this thesis recommends some methods for thinking on mathematics.

本文利用复数来研究几何，主要考虑如下的问题：平面上的点集的复数表示；平面曲线的复数表示；复数在共线、共点、共圆、复数的麦比乌斯变换等几何问题上的应用，在说明这些应用的同时介绍一些数学上常用的思考方法。

Possible speed means that in the good climatic and traffic condition, the automobile is only influenced by the geometry line shape of the highway; the driver with skilled technology drives the travel speed that the automobile may reach while going along certain highway.Possible speed is decided by geometry line shape of the road mainly, its change can reflect the change state of the line shape of the road, and the geometry line shape of the road play a very important role to emergence of the traffic accident, so the change of the possible speed can reflect the security state of the road.

可能速度主要由道路的几何线形决定，它的变化可以反映道路线形的变化状况，而道路的几何线形条件对交通事故的发生起着举足轻重的作用，因此可能速度的变化情况能够直观的体现道路的安全状况。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。