几何形状

The model was simplified comparing the real one for the purpose of describing the essential form of components, including the screw compressors, engine, air filter, oil-gas separator, fan, aftercooler for compressed air, instrument box, batteries and fuel tank, and also the effect of connection pipe and small size parts on flow field was ignored.

本文对空压装置内螺杆压缩机、发动机、空气过滤器、油气分离器、风扇、压缩空气后冷器、仪表柜、电池、燃油箱的真实模型进行了简化，使建立的几何模型能够反映部件最基本的形状，忽略连接管道和小尺寸部件对流场的影响。

Proceedings from the theory of geometric optics,the condition adaxial noncoherent imaging of Fizeau opticalsynthetic aperture imaging system is derived to achieve diffracion limited performance over a finite field of view,and the conclusion is that the angular magnification of the individual telescope must be equal to the linear demagnification factor.

从几何光学理论出发，详细推导了斐索型光学合成孔径成像系统的近轴非相干成像条件，即子望远系统的角放大率等于系统的线性缩放因子。对于焦平面上的像点而言，合成孔径成像系统可等效为一个带有特殊形状孔径光阑的望远系统，这要求该孔径光栏的开口形状和位置分布与合成孔径成像系统各子系统孔径大小和位置分布相一致。

The former, such as Bettess element and Astley element, needs geometry mapping and shape functions in terms of local coordinates, while for the latter, the shape functions are directly expressed in terms of global coordinates. This paper reviews the state-of-the-art and recent advances of the infinite element method for unbounded domains.

无限元分为映射无限元和非映射无限元：映射无限元需要引入几何映射，在局部坐标系中构造插值形状函数，如Bettess 元和Astley元；非映射无限元则直接在整体坐标系中构造插值形状函数，如Burnett元。

Based on the previous work of other researchers, we presented the definition of global convex: a surface is globally convex if it happens to be the surface of a convex body or part of the surface of a convex body.

曲面微分几何，总结了自由曲面形状分析技术手段，对著名CAD软件中曲面分析工具特点进行了简要分析，指出了它们对曲面全局形状分析能力的不足。

The region of interest can comprise a geometrically regular shape or an irregular shape.

感兴趣区域可以包括几何规则形状或不规则形状。

Hence the study of geometric properties, which include the distribution of singular and inflection points and the convexity of parametric curves, is the key for designer to control the curves shape.

在计算机辅助几何设计的光顺曲线造型中，不希望曲线带有二重结点、尖点及多余拐点，因此对参数曲线的几何性质(包括奇、拐点分布及凸性等)的研究是控制其曲线形状的关键。

Aiming at researching on the theory of the shaft-kind parts form error evaluation and its application, on the basis of the analysis for the geometric model of the roundness error and cylindricity error, the linear programming models of the enclosure evaluation were proposed. According to the features of the proposed models, the solution of the optimization algorithms of linear planning was discussed to obtain accurate evaluation results.

为了对轴类零件形状误差评定理论及应用进行研究，在分析轴类零件的圆度、圆柱度误差评定几何模型的基础上，建立了包容拟合评定的规划数学模型，并针对模型的特点，探讨了使用线形规划的单纯形优化算法进行规划模型的求解，从而获得精确的形状误差评定结果。

In this thesis, we study the boundary control problems for the thin shell with a middle surface of any shape by applying Riemannian geometry method.

本文应用Riemann几何方法研究中面为任意形状的薄壳的边界控制问题，在可验证的几何条件下得到边界反馈镇定与能观测性不等式，共分七章。

Some key problems whether the height and diameter of the reactor chamber can be further increased,how to optimize the temperature and concentration fields above the susceptor,etc.are explored.

模拟结果发现：(1)通过对反应器形状进行优化，使进口处流道趋向于流线的形状，可以大大地削弱甚至消除由流道扩张引起的涡旋；(2)在影响对流涡旋的几何参数中，反应腔高度起主要作用，而反应腔直径影响较小。

Based on the idea of QR decomposition, a geometric blind separation algorithm is proposed for uniform distribution source signals in this paper. It is known that if source signals follow uniform distribution, the scatter plots of source signals and mixtures will show special geometrical property. Firstly, the mixture signals are whiten so that the scatter plot of which is changed into the scatter plot when they are independent, and then the scatter plot of whiten signals is rotated by C ~2 n times Givens transformation.

该文提出了一种多个均匀分布的源信号混叠的盲分离几何算法，该算法以矩阵的QR分解原理为分离的理论指导，并结合信号在各个阶段其scatter图所具有的特殊几何性质，首先将混叠信号进行白化，使其scatter图恢复为独立时的scatter图形状，然后将白化后的scatter图通过C2n次旋转变换，使其与各坐标轴平行，从而得到n个信号的分离。

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。