| 释义 |
线,梯度 以上为机器翻译结果，快速获取精准的人工翻译结果，建议选择有道人工翻译 - 1
It tells you, if you take the line integral of the gradient of a function, what you get back is the function. 它说，如果你对一个函数的梯度做线积分，就能得到原函数。 - 2
Well, if I have a gradient field, then if I try to compute this line integral, I know it will be the value of the function at the end point minus the value at the starting point. 如果有一个梯度场，然后想计算线积分，我知道积分值是,起点的函数值减去终点的函数值。 - 3
OK, so, we've seen that if we have a vector field defined in a simply connected region, and its curl is zero, then it's a gradient field, and the line integral is path independent. 一个向量场,如果定义在单连通区域并且旋度为零，那么它就是一个梯度场，并且其上的线积分与路径无关。
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