这个曲面积分，不是同一个向量场。
OK, and that surface integral, well, it's not for the same vector field.
所以要用面积分，而非线积分。
And so it will be a surface integral, not a line integral anymore.
相反，我想要把它变成面积分。
And instead I will want to reduce things to a surface integral.
对于曲面积分，也已经知道如何计算。
它是一个面积分，所以这里需要两个变量。
It is a surface integral, so we need to have two variables in there.
每当做通量的曲面积分时，你要做两件事。
Whenever you do a surface integral for flux you have two parts of the story.
这与种群的叶面积分布特征密切相关。
This is closely related to the distribution of leaf area of population.
也就是最终要摆脱曲面积分，回到常规的二重积分。
And this is finally where I have left the world of surface integrals to go back to a usual double integral.
计算这个曲面积分的方法，和其他任何曲面积分的一样。
And, the way in which you would compute the surface integral is just as with any surface integral.
在变分方程中，只存在线积分，没有面积分。
作面积分和体积分。
大面积分布着沙漠。
室外种植面积分配的自由，不，到情节的限制。
The plantings outdoor are allocated freely and not, up to the limit of the plot.
分别运用了体积分方程法和面积分方程法来求解问题。
Both the volume integral equation method and the surface integral equation method are used in this paper.
这把一个向量场的线积分，和另外一个向量场的曲面积分联系起来。
This relates a line integral for one field to a surface integral from another field.
给出曲面积分在空间坐标的正交变换下的一个计算公式。
A calculating formula for surface integrals under orthogonal transformation of space coordinates is given.
而1999年报告则没有将上述面积作为公共面积分摊。
And the 1999 report is not the area as a public space-sharing.
播种面积分配制、价格支持和作物丢弃令美国农业面貌一新。
Acreage allotments, price supports and crop set-asides reshaped the face of American agriculture.
她说，这些传感器大面积分散各处，而且需要传输大量数据。
She says that these sensors are spread out over large areas and need to transmit large amounts of data.
这一结果，对于简化线积分、面积分的计算具有使用价值。
The results are of use value for simplifying the computation of line integral and surface integral.
城镇和农村居民人均居住面积分别达到16平方米和23平方米。
Urban and rural residents per capita living area reached 16 square meters and 23 square meters.
给出第二型曲面积分计算的几种方法，并举例说明了这几种方法的应用。
In this paper, we give a few methods for calculating second-kind surface integral and their applications.
提出了利用动态热电偶测得的齿面闪温分布曲线计算齿面积分温度的方法。
The method of calculating integral temperature by measured flash temperature curve was put forward.
如果在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。
If you end up with a dx, dy, dz in the surface integral, something is seriously wrong.
矢量的面积分方程因其被积函数具有高阶奇异性，不能直接应用于数值计算。
The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.
本文介绍利用三狭缝面积分割法进行假彩色编码拍制二步彩虹全息图的方法。
A pseudocolor encoding method for rainbow holography is introduced using three-slit area partition and two-step exposure.
告诫学生使用高斯公式计算曲面积分时一定不能忽视条件，否则可能导致错误。
It reminds the learners to notice the formula premise when using Gauss Formula, to avoid obtain a wrong result.
城市周围大面积分布的泥炭沼泽已经干涸着火，将莫斯科笼罩在令人窒息的烟雾中。
Vast stretches of peat bog surrounding the city have dried out and caught fire covering Moscow with choking smog.
通过优化两个换热器和回热器之间的热导率分配或传热面积分配可得循环最优性能。
The optimal performance can be obtained by optimizing the distribution of heat conductances or heat transfer surface areas among the two heat exchangers and the regenerator.
在我花了这么多时间来告诉你们，如何计算曲面积分之后，我打算告诉你们，如何避免计算它们。
After spending a lot of time telling you how to compute surface integrals, now I am going to try to tell you how to avoid computing them.
应用推荐