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Cross section is a set of polygons and for this reason some relative algorithms for polygon are studied firstly. New algorithms for orientation and inclusion test for simple polygon are proposed. And Ghosh's convex hull algorithms for simple polygon and convex polygons, Subramanian's triangulation algorithm for arbitrary planar domain and O'Rourke's intersection algorithm for convex polygons are modified to make them more robust.

断层轮廓为简单多边形，首先对多边形的一些相关算法进行了研究，提出了一种判断简单多边形方向及点在多边形内外的新方法，改进了Subramanian的平面多连通域的三角划分方法、Ghosh的多边形的凸包及多个多边形的凸包算法和O'Rourke的凸多边形的求交算法。

Take the simple arbitrary sample data of .

以简单的任意样本数据。

An algorithm base on Pro-ESPRIT and MR-ESPRIT of simultaneous estimation of frequency and 2D AOA with spatial-temporal sub-Nyquist sampling is proposed. The frequency estimation algorithm is suit for arbitrary geometry of antenna array.

提出了基于时空欠采样条件、Pro-ESPRIT方法和多分辨意义下的宽频段入射信号频率和二维到达角估计方法，并指出，其中的频率估计算法适用于任意几何结构阵列。

It can produce sine, square, triangle wave, or even arbitrary waveform.

它可以产生正弦波、方波、三角波，甚至任意波形。

This paper offered a module approach for solving the singular position of arbitrary complex multilooped planar linkages and manipulators.

提出了求解任意复杂多回路平面连杆机构及操作手奇异位置分析的模块法。

Based on this result,the intrinsic reasons that singular value vector-based recognition methods have the low recognition accauracy are follows: singular value vectors of arbitrary two face images have not the equivalent basis space in general;there is no one-to-one correspondence between singular value vector and face image;singular value vectors are not separated.

进一步研究发现，导致基于奇异值向量人脸识别算法识别率低的根本原因是：不同人脸图像对应的奇异值向量所在的基空间不一致、奇异值向量与人脸图像之间并不存在一一对应关系、奇异值向量具有不可分割性。

We obtain some neccessary and sufficient conditions of reverse order laws for g-inverse and reflexive g-inverse of matrix products on an arbitrary skew field.

获得了任意体上矩阵乘积的g一逆和自反g-逆的反序律的充分必要条件。

To meet the requirements of our customers, our company continued development of new products and advanced Winder, Slitter, printing machine can be arbitrary processing customer requirements, the company is quality first.

为满足广大客户的要求，我公司不断的开发新产品，并拥有先进的复卷机、分切机、印花机可按客户要求任意加工，公司以质量第一。

With the expression for the light propagation, the corresponding Snell's law and the expression of Fresnel coefficients are obtained, which can be applied to describe the re°ection-refraction event at the interface between an arbitrary combination of transparent and absorbing media.

并由此得到吸收介质界面上的反射和折射定律及其菲涅耳公式，所得结果也适用于由吸收和非吸收介质任意组合的界面。标签菲涅耳公式反射折射吸收折射率

The former takes the arbitrary distribution, describing the sojourn time of each user state, into consideration, so it is a more general model, covering the particular cases of DTMC and CTMC respectively.

针对现有研究大多从定性角度分析普适资源的可用性，本文建立了基于马尔可夫重生过程的普适资源可用性定量分析模型，包括用户会话可用性分析模型和用户请求可用性分析模型。

What was it that made you want to change sider ?

是什么使你临阵倒戈？

I don't know what he wants, but let's play along with him.

我不知道他要干什么，可我