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%% 
%%  An UIT Edition example
%% 
%%  Example 10-10-2 on page 223.
%% 
%%  Copyright (C) 2010 Herbert Voss
%% 
%%  It may be distributed and/or modified under the conditions
%%  of the LaTeX Project Public License, either version 1.3
%%  of this license or (at your option) any later version.
%% 
%%  See http://www.latex-project.org/lppl.txt for details.
%% 
%% 
%% ==== 
% Show page(s) 1
%% 
\documentclass[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{375.57637pt}
\AtBeginDocument{\setlength\parindent{0pt}}
\StartShownPreambleCommands
\usepackage{amsmath,amssymb}
\makeatletter
\def\resetMathstrut@{\setbox\z@\hbox{%
  \mathchardef\@tempa\mathcode`\[\relax
  \def\@tempb##1"##2##3{\the\textfont"##3\char"}%
  \expandafter\@tempb\meaning\@tempa \relax}%
  \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@}
\makeatother
\def\Active#1#2{\catcode`#2\active\bgroup\uccode`\~`#2\uppercase{\egroup #1~}}
\def\Math #1#2{\mathcode`#2 "8000\bgroup\afterassignment\egroup \Active {#1}#2}
\Math\def({\left(}        \Math\def){\right)}
     \def\{{\left\lbrace}      \def\}{\right\rbrace}
\StopShownPreambleCommands
\begin{document}
\[ (\frac{3}{4}) \{\frac{3}{4}\} \]

\begin{align*}
  & \left.
  \begin{aligned}
    r(x)=&\frac{a_{11}}{x-\lambda_1}+\frac{a_{12}}{(x-\lambda_1)^2}+\ldots+
     \frac{a_{1n_1}}{(x-\lambda_1)^{n_1}}+\ldots\\
  & +\frac{a_{r1}}{x-\lambda_r}+\frac{a_{r2}}{(x-\lambda_r)^2}+\ldots+
     \frac{a_{rn_r}}{(x-\lambda_r)^{n_r}}+
  \end{aligned} \}~\mathbb{R}\\
  & \left.
  \begin{aligned}
    \phantom{r(x)=}
  & +\frac{\alpha_{11}x+\beta_{11}}{x^2+A_1x+B_1}+\frac{\alpha_{12}x+
    \beta_{12}}{(x^2+A_1x+B_1)^2}+\ldots+\frac{\alpha_{1m_1}x+
    \beta_{1m_1}}{(x^2+A_1x+B_1)^{m_1}}+\ldots\\
  & +\frac{\alpha_{s1}x+\beta_{s1}}{x^2+A_sx+B_s}+\frac{\alpha_{s2}x+
     \beta_{s2}}{(x^2+A_sx+B_s)^2}+\ldots+
     \frac{\alpha_{sm_s}x+\beta_{sm_s}}{(x^2+A_sx+B_s)^{m_s}}+\ldots
  \end{aligned} \}~\mathbb{C}
\end{align*}
\end{document}