• 1. vector valued integral: 向量值积分
• 2. vector integral: 矢量积分
• 3. integral of vector-valued function: 向量值函数的积分

更多释义

• 1.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。
  dict.yoduao.com
• 2.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。
  dict.yoduao.com
• 3.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。
  dict.yoduao.com

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