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.

平面中的通量和空间中的通量有很大区别，在平面中，通量仅仅是线积分的另一种形式，而在空间中，它表现为曲面积分。

youdao

And whether these line integrals or double integrals are representing work, flux, integral of a curve, whatever, the way that we actually compute them is the same.

不管是线积分或是二重积分，也不管它们表示的是功还是通量，计算它们的方法实际上是一样的。

youdao

What it says on each small flat piece — it says that the line integral along say, for example, this curve is equal to the flux of a curl through this tiny piece of surface.

它可以对任一个小平面使用-，比如说对于这条曲线的线积分，等于通过这个曲面的旋度通量。

youdao

The cast of characters building to the punch line is in constant flux, but as it happens, this is the group gathered around a kitchen table on a quiet street in Bethesda, Maryland, one night this past spring.

WSJ: Jose Andres Wants to Feed the World (and you)