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Complex argument
From OeisWiki
The complex argument of a complex number is
where is considered modulo , i.e. .
See also
- {{Atan2}} (arithmetic function template)
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The complex argument of a complex number $\scriptstyle z\,=\,a+bi\,=\,re^{i\theta }\,$ is
where $\scriptstyle \theta \,$ is considered modulo $\scriptstyle 2\pi \,$, i.e. $\scriptstyle \theta \,\in \,[0,2\pi )\,$.