If your vector field is not defined at the origin but defined everywhere else you cannot use this guy, but maybe you can still use, say, the half-sphere, for example.
如果向量场在原点处没有定义，但其他地方有定义，是不能用Stokes定理的，但还是有办法的，可以对半球面用的。
This is significant because of the unique geometrical features of the Arecibo telescope: whereas most radio dishes are parabolic in shape, the Arecibo dish is a giant half-sphere dug into the ground.
这非常重要，由于阿雷西博望远镜的独特几何结构：尽管绝大多数的射电望远碟面都是抛物面型的，而阿雷西博的碟面是在地上挖出的一个巨大半球。
Let's say that I gave you a sphere of radius a centered at the origin, or maybe just half of that sphere or some portion of it.
已知以原点为心，以a为半径的球面，也可以说是半球面或是球面的一部分。
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