| Front | Essential Singularity |
| Back | An isolated singularity which is not removable or a pole is an essential singularity. |
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| Front | Riemann Mapping Theorem |
| Back | Any two proper simply connected open subsets of [$]\mathbb{C}[/$] are conformally equivalent. |
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| Front | Schwarz Lemma |
| Back | Let [$] f: \mathbb{D} \to \mathbb{D} [/$] be holomorphic with [$] f(0) = 0 [/$]. Then[latex]\begin{enumerate}\item $|f(z)| \leq |z|$ for all $z \in \mathbb{D}$.\item If for some $z_0 \neq 0$ we have $|f(z_0)| = |z_0|$, then $f$ is a rotation.\item $|f'(0)| \leq 1$, and equality implies a rotation\end{enumerate}[/latex] |
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