So, and similarly, if I take any other loop that avoids the origin, I can find, actually, a surface bounded by it that does not pass through the origin.
类似的，对于任何不经过原点的环路，都能找到一个以之为界的曲面，该曲面不经过原点。
Can I find a surface that's bounded by this loop and that does not pass through the origin?
能找到一个以该环路为界，且不经过原点的曲面吗？
OK, so one way to find a surface that's bounded by this curve is to take what's called the Mobius strip.
这条曲线界定的曲面叫,叫做Mobius带。
Both of these formulas basically relate work on a curve with what happens to the curl on the surface that is enclosed by this curve, that is bounded by this curve.
基本上，这两个公式把沿曲线的功，和被曲线包围的曲面上的旋度，联系起来了，曲面是以该曲线为边界的。
This one here, the divergence theorem, tells you something similar but now for a region of space bounded by a closed surface.
这个就是散度公式了，告诉大家一些相似的东西，仅仅是对被闭合曲面包围的空间区域来讲的。
So, then I can choose my favorite surface bounded by C.
那么我可以选择一个被C界定的曲面。
Definition let be a smooth surface in three-space, and let be bounded on.
定义设是三维空间中的光滑曲面，在上有界。
The portion of such a surface bounded by two parallel planes and the regions of the planes bounded by the surface.
与水平段平行的斜平面可显示颞骨内面神经。
The portion of such a surface bounded by two parallel planes and the regions of the planes bounded by the surface.
与水平段平行的斜平面可显示颞骨内面神经。
应用推荐