英德
有道
百度
谷歌
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维基
百科
连通区域
[数] connected region
- 那么我们是在哪里利用了,“定义在单连通区域”的假设呢？
OK, so where do we use the assumption of being defined in a simply connected region? - 这里，为了使得完全成立，不得不假设，这定义在一个单连通区域，否则就有可能得到，和先前一样的奇怪事情。
And here, to be completely truthful, I have to say defined in a simply connected region. Otherwise, we might have the same kind of strange things happening as before. - 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。
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.
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