The curl of a vector field in space is actually a vector field, not a scalar function. I have delayed the inevitable.
空间中的向量场的旋度，是一个向量场，而不是一个标量函数，我必须告诉你们。
Now, an important difference between curl here and curl in the plane is that now the curl of a vector field is again a vector field.
和平面上的旋度的一个重要的不同点是，这里向量场的旋度，仍然是一个向量场。
That is called the curl of a vector field.
这个量叫向量场的旋度。
And that is indeed going to be the curl of F. in practice, if you have to compute the curl of a vector field, you know, don't try to remember this formula.
这就是F的旋度，在实际应用中，如果你必须计算一个向量场的旋度，不要尝试记忆这个公式。
So, one of them says the line integral for the work done by a vector field along a closed curve counterclockwise is equal to the double integral of a curl of a field over the enclosed region.
其中一种说明了，在向量场上，沿逆时针方向，向量做的功等于，平面区域上旋度F的二重积分。
Well, we've seen this criterion that if a curl of the vector field is zero and it's defined in the entire plane, then the vector field is conservative, and it's a gradient field.
我们已经知道了一个准则，如果向量场的旋度为零，而且它在整个平面上有定义，那么这个向量场是保守的，而且它是个梯度场。
According to Mr Zhang's vector potential theory, SP doesn't generated or originated from dipole layers but curl sources in the borders of dipole layers.
根据张庚骥先生的向量势理论，自然电位不是由偶极层产生，而是由旋度源产生，旋度源在偶极层的边缘。
According to Mr Zhang's vector potential theory, SP doesn't generated or originated from dipole layers but curl sources in the borders of dipole layers.
根据张庚骥先生的向量势理论，自然电位不是由偶极层产生，而是由旋度源产生，旋度源在偶极层的边缘。
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