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Post by mondo on Jul 8, 2023 22:19:49 GMT
At the bottom of page 485 author writes:
So the way I understand it is, the polya vector field of $\frac{1}{\overline{z}}$ means that we are dealing with a vector field $H = \frac{1}{z}$. However, how can we say it is a source of strength $2\pi$ without knowing what $L$, the path of integration is? If it is a circle then it should be $2\pi r|V|$ as described on top of page $455$.
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Post by mondo on Jul 8, 2023 22:37:38 GMT
Is that because $\frac{1}{z}$ has $|V| = \frac{1}{r}$ and hence $S = 2\pi$? Nonetheless, $L$ is not defined, so I assume the path is a circle.
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Post by Admin on Jul 8, 2023 22:44:20 GMT
At the bottom of page 485 author writes: So the way I understand it is, the polya vector field of $\frac{1}{\overline{z}}$ means that we are dealing with a vector field $H = \frac{1}{z}$. However, how can we say it is a source of strength $2\pi$ without knowing what $L$, the path of integration is? If it is a circle then it should be $2\pi r|V|$ as described on top of page $455$. Mondo This is quite clearly correct in the book. Vasco
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Post by mondo on Jul 8, 2023 23:01:14 GMT
Is that because of what I wrote in reply #1?
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