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• And instead I will want to reduce things to a surface integral.

相反要把它变成面积分。

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• And so it will be a surface integral, not a line integral anymore.

所以面积分，而线积分

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• It is a surface integral, so we need to have two variables in there.

一个面积分所以这里需要两个变量

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• OK, and that surface integral, well, it's not for the same vector field.

这个曲面积分不是同一个向量

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• Whenever you do a surface integral for flux you have two parts of the story.

每当通量曲面积分时，

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• This relates a line integral for one field to a surface integral from another field.

个向量线积分，和另外一个向量场的曲面积分联系起来。

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• If you end up with a dx, dy, dz in the surface integral, something is seriously wrong.

如果这个曲面积分中是以dx,dy,dz结尾的，则表明出现了很大的问题

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• And, the way in which you would compute the surface integral is just as with any surface integral.

计算这个曲面积分方法其他任何曲面积分的一样

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• The results are of use value for simplifying the computation of line integral and surface integral.

这一结果对于简化线积分面积分计算具有使用价值

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• And this is finally where I have left the world of surface integrals to go back to a usual double integral.

就是最终摆脱曲面积分回到常规二重积分

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• Both the volume integral equation method and the surface integral equation method are used in this paper.

分别运用了体积方程面积分方程法来求解问题。

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• In this paper, we give a few methods for calculating second-kind surface integral and their applications.

给出第二型曲面积分计算几种方法举例说明了几种方法的应用

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• Then with the upper-bound theorem and the surface integral an analytical solution of the drawing stress was first obtained.

入口截面不消耗剪切功率，然后上界定理曲面积分方法首次得到了用余弦模拉拔方棒时变形力解析

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• Drag of the train head is obtained by the method of surface integral and drag coefficient can be computed at the same time.

通过表面积分方法得到各种列车车头阻力，进而计算得到了车头模型阻力系数

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• It gives a relationship between a surface integral over an oriented surface and a line integral along a simple closed curve.

建立有向曲面上的曲面积分它的边界曲线积分的关系

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• It is an important work that can provide the reference for correctly using the surface integral equation to solve those problems.

工作为高效、恰当运用积分方程求解问题提供重要参考依据。

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• This article popularizes these methods in the calculation of curvilinear integral and surface integral and gives proof of them as well.

文章这些方法推广曲线积分曲面积分中，给出了证明

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• Surface integral equations for dielectric objects based on equivalent principle, such as PMCHW, TENENH, JMCFIE are presented in detail.

首先，本文详细介绍了求解介质结构的面积分方程方法及目标模型的建立

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• We changed the curvilinear integral to surface integral in the thin ring around the curve so that the influence of the noise can be decreased.

提取外边界时采用积分算子，将环量线积分改进为微小圆环面积分，克服了噪声影响

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• The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.

矢量面积分方程被积函数具有奇异性，不能直接应用数值计算

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• Based on the wind tunnel test, aerodynamic modal force spectrums of twin-tower tall building are studied using surface integral method of rigid model.

塔楼风洞试验基础上，采用刚性模型表面风压积分双塔高层建筑气动力进行了研究。

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• Flux looks quite different in the plane and in space because, in the plane, it is just another kind of line integral, while in space it is a surface integral.

平面中的通量空间中的通量有很大区别平面中，通量仅仅线积分另一种形式，在空间中，表现曲面积分。

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• Secondly, the surface integral equation(SIE) is presented to calculate the electromagnetic scattering characteristics from the homogeneous dielectric targets.

其次，本文基于面积分方程，研究了均匀介质目标电磁散射

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• This paper gives the conversion formula from the first type surface integral to the first type curvilineal, and sets a example of using the method to solve exercises.

本文建立一种特殊一型曲面积分第一型曲线积分的转化公式通过实例表明方法解决问题时所带来的方便。

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• The utility model discloses an inner surface integral bakelite handle pig iron pot, comprising an inner surface integral handle 2 and a thermoplastic bakelite body 3.

实用新型公开了一种表面连体式电木耳生铁锅的结构，即连体式电木耳是内表面连体2塑电木体3构成的。

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• That the modified surface current will be given using the method of moments to solve either the electric or magnetic field surface integral equation at the resonant frequencies.

众所周知，在内谐振频率点上矩量求解电场磁场表面积分方程得到不正确表面电流

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• Tt is suggested in this paper that the calculation of the gravitational anomaly is performed by boundary elements method, curvilinear integral is for 2-D object and surface integral for 3-D object.

本文提出边界单元计算重力异常，二形体用线积分，三形体用表面积分。

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• The incorrect surface current may be obtained in the vicinity of the resonant frequencies when the method of moments is used to solve either the electric or magnetic field surface integral equation.

求解闭合导体目标电场积分方程磁场积分方程得到不正确表面电流

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• Use geometry or you need to set up for double integral of a surface.

总之，就是几何方法或是曲面上建立二重积分

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• Use geometry or you need to set up for double integral of a surface.

总之，就是几何方法或是曲面上建立二重积分

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