And so it will be a surface integral, not a line integral anymore.
所以要用面积分，而非线积分。
Use geometry or you need to set up for double integral of a surface.
总之，就是用几何方法或是在曲面上建立二重积分。
You know how to compute a double integral of a function.
要懂得如何计算一个函数的二重积分。
If we have a closed curve then the line integral for work is just zero.
如果给定一条封闭曲线，那么求所做功的线积分为零。
All of these are integral to morphing a good brand into a great brand!
所有这些都是将一个好品牌变成一个优秀品牌的不可或缺的组成部分！
This side here is a usual double integral in the plane.
这边是平面上普通的二重积分。
This is just your standard triple integral over a region in space.
这就是空间区域中的标准三重积分。
Well, that's a question of, in which order we do the iterated integral?
这只是积分顺序的问题？
On the math it is a line integral of something dx plus something dy.
从数学意义上来说，这是dx部分加上dy部分的线积分。
The area R is the double integral over R of a function one.
区域R的面积是函数1在R上的二重积分。
Now, once we have made a choice then we can define the flux integral.
一旦我们做出了选择，同时也就可以定义通量积分。
You can make help a dynamic, integral part of your development environment.
您可以让帮助成为开发环境的一个动态的、有机的组成部分。
If you think a file contains an integral multiple of four bytes, then check that.
如果认为文件包含一个四字节的整数倍的数据，请验证一下。
That is what a double integral means.
这也就是二重积分的意义。
How do you express the area as a double integral?
如何用二重积分来表示面积呢？
Now, how would we actually set up a flux integral on such a surface.
下面应该如何，在这样的曲面上建立通量的积分。
It is a surface integral, so we need to have two variables in there.
它是一个面积分，所以这里需要两个变量。
It is an integral part of a deterministic process that is already under way.
这是一个业已发生的确定过程中，不可分割的一部分。
But let's do it as a double integral.
但是让我们用二重积分来做。
This side here is a usual line integral.
这边是普通的线积分。
Well, we cannot really think of flux as a line integral.
那就无法把通量想成线积分了。
Because a surface is a two-dimensional object, that will end up being a double integral.
由于表面是二维的，所以结果是二重积分。
这是个简单积分。
Mural: Painting applied to and made integral with the surface of a wall or ceiling.
壁画：描绘在建筑物墙壁和天花板上并与其成为一体的绘画。
List data type is used to collect a set of integral type values.
List数据类型表示一组整数类型的值。
Some men consider a beard to be an integral part of their identity and image.
一些男人以为留胡子是他们身份和形象的主要部分。
The list goes on; it's a very integral part of the game.
这样的例子不胜枚举，这是一个非常组成部分的比赛。
In a sense, the assistance is also save an integral part.
某种意义上，“援”也是“救”的组成部分。
In a sense, the assistance is also save an integral part.
某种意义上，“援”也是“救”的组成部分。
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