I have a question pertaining to Complex Analysis.(adsbygoogle = window.adsbygoogle || []).push({});

We define a contour ##C## as a piecewise smooth arc.

For a variable ##z \in \mathbb{C}## I have seen the notation of a contour ##|C|##. It is sometimes defined as ##|C| := z([a,b])## where ##[a,b]## is a closed interval.

Should I read this as the parametrization of the contour ##C## between ##a, \ b##?

Or does ##|C|## have a different meaning ##w.r.t.## contours?

Thanks

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# The Contour |C|

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