vector valued integral 向量值积分
vector integral 矢量积分
integral cosine of vector 向量的积分
integral of vector-valued function 向量值函数的积分
vector stochastic integral 向量随机积分
integral pitch winding vector 积分向量
integral curve for vector field 向量场的积分曲线
vector valued Bartle integral 矢量值Bartle积分
vector valued singular integral 向量值奇异积分
OK, and that surface integral, well, it's not for the same vector field.
这个曲面积分，不是同一个向量场。
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。
So, in both cases, we need the vector field to be defined not only, I mean, the left hand side makes sense if a vector field is just defined on the curve because it's just a line integral on c.
了解这两种表述后，我们不仅需要向量场，就是左边这里，这是曲线c上的线积分，向量场在曲线上有定义。
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