Complex Function/Examples/Principal Argument
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Example of Complex Function
Let $f: \C \to \C$ be the function defined as:
- $\forall z \in \C: \map f z = \Arg z$
where $\Arg z$ denotes the principal argument of $z$.
$f$ is a complex function whose image is the set of real numbers $\R$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): complex function (function of a complex variable)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): complex function (function of a complex variable)