<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\input{mkepdf}
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\textbf{Äá»‹nh lÃ­ 1 (Äá»‹nh lÃ­ tháº·ng dÆ°).}
 Cho $f$ lÃ&nbsp; giáº£i tÃ­ch trong miá»n $G$ ngoáº¡i trá»« cÃ¡c giÃ¡ trá»‹ ká»³ dá»‹ $a_1,a_2,\ldots,a_m$. Náº¿u $\gamma$  náº±m tiá»‡m cáº­n vá»›i Ä‘Æ°á»ng cáº§u trÆ°á»ng trong miá»n $G$ mÃ&nbsp; khÃ´ng Ä‘i qua cÃ¡c Ä‘iá»ƒm $a_k$ vÃ&nbsp; náº¿u $\gamma\approx 0$ trong miá»n $G$ thÃ¬

\[
\frac{1}{2\pi i}\int_\gamma f = \sum_{k=1}^m n(\gamma;a_k) \text{Res}(f;a_k).
\]

\textbf{Äá»‹nh lÃ½ 2 (Há»‡ sá»‘ cá»±c Ä‘áº¡i).}
\emph{Cho $G$ lÃ&nbsp; má»™t táº­p giá»›i háº¡n má»Ÿ trong  $\mathbb{C}$ vÃ&nbsp; giáº£ sá»­ ráº±ng $f$ lÃ&nbsp; má»™t hÃ&nbsp;m liÃªn tá»¥c  trÃªn $G^-$ mÃ&nbsp; $G^-$ lÃ&nbsp; giáº£i tÃ­ch trong   $G$ thÃ¬}
\[
\max\{|f(z)|:z\in G^-\}=\max \{|f(z)|:z\in \partial G \}.
\]
\vspace*{-1em}

\newcommand{\abc}{abcdefghijklmnopqrstuvwxyz}
\newcommand{\ABC}{ABCDEFGHIJKLMNOPQRSTUVWXYZ}
\newcommand{\alphabeta}{\alpha\beta\gamma\delta\epsilon\varepsilon\zeta\eta\theta\vartheta\iota\kappa\varkappa\lambda\mu\nu\xi o\pi\varpi\rho\varrho\sigma\varsigma\tau\upsilon\phi\varphi\chi\psi\omega}
\newcommand{\AlphaBeta}{\Gamma\Delta\Theta\Lambda\Xi\Pi\Sigma\Upsilon\Phi\Psi\Omega}

%\ABC \quad $\ABC$

%\abc \quad $\abc$ \quad $01234567890$

%$\AlphaBeta$ \quad $\alphabeta$ \quad $\ell\wp\aleph\infty\propto\emptyset\nabla\partial\mho\imath\jmath\hslash\eth$

$\mathrm{A} \Lambda \Delta \nabla \mathrm{B C D} \Sigma \mathrm{E F} \Gamma \mathrm{G H I J K L M N O} \Theta \Omega \mho \mathrm{P} \Phi \Pi \Xi \mathrm{Q R S T U V W X Y} \Upsilon \Psi \mathrm{Z} $  $ \quad 1234567890 $

%$\mathit{A \Lambda \Delta B C D E F \Gamma G H I J K L M N O \Theta \Omega P \Phi \Pi \Xi Q R S T U V W X Y \Upsilon \Psi Z }$

% don't allow overfull boxes
{\par \tolerance=0 \emergencystretch=100em $a\alpha b \beta c \partial d \delta e \epsilon \varepsilon f \zeta \xi g \gamma h \hbar \hslash \iota i \imath j \jmath k \kappa \varkappa l \ell \lambda m n \eta \theta \vartheta o \sigma \varsigma \phi \varphi \wp p \rho \varrho q r s t \tau \pi u \mu \nu v \upsilon w \omega \varpi x \chi y \psi z$ \linebreak[3] $\infty \propto \emptyset \varnothing \mathrm{d}\eth \backepsilon$\par}

%$\mathcal{\ABC} \quad \mathbb{\ABC}$

%\boldmath $\alpha + b = 27$
}
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