几何的

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。

As the second part of our research, the effect of stochastic dephasing on quantum coherence and quantum entanglement has been analyzed, and we find that quantum entanglement relies on the fluctuation of random variable in stochastic process.

另外我们分析了几何相在随机过程中的改变：发现几何相的改变不仅依赖于随机变量的涨落，而且依赖于系统的频率。

The results shows that the probability distribution of discharge striking points is related to the breakdown voltage,breakdown time and the development of head-on discharge, it is influenced by geometric shape of object, ground resistance, and geometric striking distance.

结果表明，放电击中点的概率分布与上电极对各目的物的击穿电压、击穿时间和迎面放电的发展有关，受目的物几何形状、接地电阻和几何击距等因素的影响。

Computational synthetic geometry is now a branch of computer algebra .

相反，这种办法对于几何作为一个封闭的系统，最终在Hilbert的公理，被视为重要的教学价值，最现代的几何形状是一个风格。

First of all, the author gives a method for merging two Bezier surfaces with the construction of transition band, after discussing the G1,G2 continuous conditions of two Bezier tensor product surfaces and their geometric properties.

本文首先考虑参数曲面片上几何连续的特性和在几何造型中的应用。它相应地赋予设计者更多的自由度和灵活的调整手段。

On the basis, the effect of different factors such as the sloping angle of arch ribs, the stiffness of bridge deck system, the effect of non-orientedly conservative loadings of the hanger and tie bar etc is discussed.

考虑几何非线性和材料非线性后，大跨度钢管混凝土拱桥的稳定系数最小，约为弹性稳定系数的45%，在分析大跨度钢管混凝土拱桥的稳定性时，应考虑材料非线性和几何非线性的共同作用。

A method of the surface combination based on classification or Euler Operation and the computation of the surface boundaries of a surface is offered to finish the geometry mapping of surfaces between half-edge model and the closed_shell branch of manifold surface model. Moreover, the concepts of conformal-shape geometrical mapping and topological mapping are given. The bi-directional conformal-shape topological mapping between half-edge model and the closed_shell branch of manifold surface model is proved.

提出了一种基于等价分类和欧拉操作的面片合成和曲面边界计算方法，完成了半边模型到流形曲面模型closed shell枝的曲面几何映射；给出了保形几何和保形拓扑映射概念，证明了半边模型到流形曲面模型的closed_shell分枝的双向保形拓扑映射。

The selected image salient features are used to compute geometric transformation parameter of watermarked images. After recovering the size and aspect of watermarked images, the watermark detector is synchronized with embedded watermark. Thus the watermark detector can detect the watermark.

利用提取的图像固有特征点估计水印化图像几何变换参数，恢复经几何变换的水印化图像，同步水印检测器与图像中嵌入的水印信号，使水印检测有效检测嵌入的水印信号。

Firstly, this paper introduces the model-line of the scroll expander in detail and deduces integrally the geometrical theory on the scroll expander. Basing on the transparent geometrical relation of the scroll expander, force analysis of the immobile and the rotary turbination are showed in the paper.

首先，本文比较详细的介绍了涡旋机械的型线构造，之后对涡旋式膨胀机的几何理论进行了比较全面介绍和推导，在明晰涡旋膨胀机基本几何关系的基础上，对动、静涡盘进行了受力分析。

A new method to recognize some special features such as thin-wall features and bar-shaped features which could be reduced dimensionally is also developed.

本文在研究几何模型边界元素的细微度量化方法的基础上，提出了实体模型的细微特征识别和分解方法，实现几何模型的自动简化。

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。