conservative vector field的意思|示意

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。

So, to say that a vector field with conservative means 0 that the line integral is zero along any closed curve.

一个保守的向量场就是说,沿任意闭曲线的线积分的结果是。

OK, so the first property that I will have for a vector field is that it's conservative.

第一个性质是有一个向量场,它是保守的。

So, it's an example of a vector field that is not conservative.

这是一个非保守场的例子。

Based on the conservative condition of vector lines of variable field in the continuous medium, the problems of electromagnetic field in the moving system are discussed in this paper.

本文由连续介质中的可变场的矢量线的保持性条件，主要讨论了运动系统中电磁场的保持性问题。

So, this vector field is not conservative.

所以，这个向量场不是保守场。