几何的

The nonlinear dynamic equations including the initial geometric imperfections of laminated composite cylindrical shells were derived from Hamilton's philosophy. Assuming the transverse displacements to be composed of axially symmetrical part and axially asymmetrical part, the governing equations expressed as displacement forms of dynamic buckling were obtained by Galerkin method. The equations were solved by finite difference method. The effects of impact velocity, lamination angle, initial geometric imperfection on the axial dynamic buckling of laminated composite cylindrical shells were discussed.

由Hamilton原理导出包含初始几何缺陷的复合材料层合圆柱壳的非线性动力方程；将横向位移设为对称及非对称两部分，由Galerkin方法得到以位移形式表达的动力屈曲控制方程，通过有限差分方法求解；讨论了冲击速度、铺层角度、初始几何缺陷等各种因素对复合材料圆柱壳轴向冲击动力屈曲可能产生的影响。

Using martingale methods, and choosing the stock as numeraire asset and corresponding equivalent martingale measure, the author gets the simple pricing formula by the Asian option in the case of geometric average.

主要研究了股票价格过程由几何Lévy过程驱动的亚式期权的定价问题，利用鞅方法，选择股票作为计价单位及相应的等价鞅测度给出了几何平均亚式期权简单的定价公式。

One of key research issues in Reverse Engineering is the geometric modeling of complex surface. Extracting boundary of complex surface from ",points cloud", is a main step.

复杂曲面零件表面的几何模型构造是反求工程的研究重点之一，根据零件表面的数字化数据提取零件表面的边界是构造零件几何模型的关键步骤。

The paper presents a new geometric feature according to the characteristics of fabric defects, and use the mean geometric feature value of each defect class as the initial clustering center to improve the result of clustering.

根据布匹瑕疵的特点提出一种新的几何特征，并使用各类瑕疵的几何特征均值作为初始聚类中心，提高ISODATA算法的聚类效果。

The definition, operation, properties, geometric meaning of quaternion and its three expressions are discussed. It is also demonstrated how to use quaternion to transform points.

本文详细叙述了四元数的这一功能，讨论了四元数的定义、运算、性质、几何意义和它的3种表达形式，给出了使用四元数处理点的各种几何变换的一般结论。

In this study, a new classification method of tolerances according to semantics and mathematical representation of basic geometric elements based on DOF is given. The representation of tolerance semantics is systematically deduced based on its mathematical definition that can characterize the semantics exactly an...

给出了基于语义的几何公差分类方法及基于自由度变动的基本几何要素数学表示方法；基于公差的数学定义，系统地推导了各种类型公差的三维语义表示方法，准确完整地表示出了其语义；最后给出实例进行应用分析

And made a comparison between the Han nationality and the BouYei nationality students in learning geometric proof, we sum up the defferences between learning geometric proof abilities and the general proof process.

针对问卷和测查题的定量统计分析和个案定性分析，得出被试学生学习几何证明的一般过程和证明能力发展的差异情况，在此基础上进行了几何证明的微型教改实验，得到以下的结果： 1。

Inaddition, it can be used in the geometrically nonlinear analysis of structures of mixed connection.

同时采用本文提出的的几何非线性分析力学模型和非线性分析方法还可实现刚接与铰接混合连接的空间杆系结构的几何非线性性能分析，且计算效率优于子结构法。

By using a coherent state method,we prove that the geometric phase of the spinor in rotating magnetic fields to be one half of the solid angle that the spinor states sweep.

运用相干态方法，本文证明了中子在旋转磁场中的几何相位是粒子态矢量在态空间中扫过的立体角的一半，同时提供了一种几何相位在周期演化中的简单算法。

In mathematics this conjecture is that the extrinsic geometric properties onsubmanifolds in AdS-space have corresponding Gauge theoretic geometric propertiesin its ideal boundary.

如果用数学的语言来解释AdS／CFT对应则为：AdS-空间中子流形的微分几何性质与AdS-空间中理想边界上的规范场论的几何性质是相对应的。

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。