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The SEM poles have been calculated theoretically by using the iterative method and contour integral method so far, but the both methods have many defects.

为了从理论上得到散射体的极点，人们提出了许多的数值计算方法，如Newton迭代法，Muller迭代法和围线积分法等，但都存在种种缺陷。

The analysis of Rotman lens,an important multiple beamforming network is accomplished by the contour integral equation method along with the planar waveguide model method.

摘 要：本文利用平板波导模型法与轮廓积分方程法结合分析了一种重要的多波束形成网络—Rotman透镜。

On the basis of Muskhelishvili's complex function theory, an auxiliary field of mixedmode crack was accomplished, and then using Betti's reciprocal work theorem, a path independent contour integral method for stress intensity factors of mixed-mode crack was obtained.

本文用复变函数理论推导出裂纹的辅助场，并用Betti功互等定理给出求解混合型裂纹应力强度因子的远场围绕积分法。

First,the convex hull points of the characteristic region such as eyes,mouth etc. are confirmed,and,the integral contour points are obtained by fitting the curve.Then,the coordinate of the contour and the corresponding points of the adapted facial model are transformed to a new coordinate.At last,the model is adjusted in the new coordinate to get a good adaptation between the human facial model and human face image by revising the corresponding detail data in the model.

首先，对检测出的眼睛、嘴巴等特征区域，确定出其外凸包点集，通过曲线拟合得出其完整外轮廓，然后对此轮廓点以及已经粗调的对应模型点进行坐标转换，在转换后的坐标系中，对模型中相应的细节数据进行修改，实现模型和人脸图像的配准。

And the keytechniques are in the following:(1) The algorithm and program of intensified node arrangement near crack tip andalong crack line (2) The shape function calculation of point near crack based on visibility criteria (3) The contour integral method for calculation of stress intensify factor K_ⅠK_Ⅱ(4) The rock slope appraisal method using circular method, polygonal method orgraph theory method depending on the slope joints combination

程序实现的关键技术和算法如下：(1)沿裂隙结点布置及裂尖结点加密的算法及程序(2)采用可视准则的形函数算计算程序(3)围线积分计算复合型裂纹裂尖强度因子K_Ⅰ、K_Ⅱ的算法及程序(4)圆弧搜索法、折线搜索法和无网格—图论搜索法的算法及程序

By applying contour integral method and high-order displacement functionsof MM,we obtain the accurate stress intensity factors of mixed-mode crack.Then,the open crack propagation of the mixed mode I and II is simulated by means oftheories of linear elastic fracture mechanics.This provides a simple and effectivenumerical way for crack evolvement studying.

接着，文中采用围线积分法和流形方法的高阶位移函数来计算得到比较准确的混合型裂纹尖端的应力强度因子，然后基于线弹性断裂力学的裂纹扩展准则，用流形方法实现了平面I-II混合型张裂纹扩展的数值模拟，为数值方法研究裂纹的演化行为提供了一条简单而有效的途径。

"Plateau Eagle" advanced trainer has a good visual-field by adopting the advanced cockpit contour design and an integral arc windshield. The height difference of pilot eye-position between front and rear cockpits is up to 280mm.

采用先进的座舱外形设计、单块式整体圆弧风挡，以及前后座舱飞行员眼位高度差达到280毫米等措施，使得"山鹰"飞机具有良好的视界。

Faraday's law is that when the flux in the conductor loop changes, it produces electromotive force in the conductor loop, and obeys to contour integral law , Maxwell Curl Theory is that when the magnetic intensity of a certain point in ether space changes, there produces electric field at that point in ether space, which is the field mutual production theory of "electric field produces magnetic field and magnetic field produces electric field" in the free space which everybody is familiar with, and it obeys differential law , Lorentz magnetic force is that when metal electrons cut magnetic lines, metal electrons forced by move along the conductor to form inductive current, in fact, it doesn't matter whether coil moves or magnet moves, only if there exists relative motion between magnetic field and conductor, metal electrons must cut magnetic lines, which is,"coil stills while magnet moves to the left" and "magnet stills while coil moves to the right" these two situations are the same, which both belong to metal electrons having cut magnetic lines.

法拉第定律指导体环路里的磁通量发生变化时，在导体环路上产生电动势，而且服从围线积分律；麦克斯韦旋度理论指以太空间某点的磁场强度发生变化时，在以太空间的该点产生电场，即大家熟知的自由空间里"电场生磁场与磁场生电场"之互生场理论，而且服从微分律；洛伦兹磁力指金属电子切割磁力线时，金属电子受力沿着导体漂移而形成感应电流，其实，无论线圈运动或是磁铁运动，只要磁场与导体存在相对运动，则金属电子必然切割磁力线，即，"线圈静止而磁铁向左运动"与"磁铁静止而线圈向右运动"这两种情况是一样的，都属于金属电子切割了磁力线。

However, the PID controller is still an integral part of the basic control unit in process control.

但是，以PID为原理的各种控制器仍是过程控制中不可或缺的基本控制单元。

Expand the integral from 0 to x of sin/t and find the radius of convergence

展开sin/t在0到x上的积分，并找出收敛半径

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。