Size of curly brackets

brackets

I have the following MWE

\documentclass{article}
\usepackage{amsmath}
\newcommand{\overbar}[1]{\mkern 1.5mu\overline{\mkern-1.5mu#1\mkern-1.5mu}\mkern 1.5mu}
\begin{document}
\begin{align}
\frac{\frac{\partial\pi\left( z \right)}{\partial CAF_{ij}}}{GLOB_{j}} =&\left( \theta_{10} + \theta_{11} + \omega_{1j} \right)\{\xi\left\lbrack\theta_{00} + \eta_{1}\overbar{AF}_{j} + (\theta_{10} + \theta_{11} + \omega_{1j})CAF_{ij} + \theta_{01} + \omega_{0j}\right\rbrack \times \notag \\
&\left\lbrack 1 - \xi\left\lbrack \theta_{00} + \eta_{1}\overbar{AF}_{j}+ \left( \theta_{10} + \theta_{11} + \omega_{1j} \right)CAF_{ij} + \theta_{01} + \omega_{0j} \right\rbrack\right\rbrack\} - \notag \\
&\left( \theta_{10} + \omega_{1j} \right)\{\xi\left\lbrack\theta_{00} + \eta_{1}\overbar{AF}_{j} + (\theta_{10} + \omega_{1j})CAF_{ij} + \omega_{0j}\right\rbrack \times \notag \\
&\left\lbrack 1 - \xi\left\lbrack \theta_{00} + \eta_{1}\overbar{AF}_{j} + \left( \theta_{10} + \omega_{1j} \right)CAF_{ij} + \omega_{0j} \right\rbrack\right\rbrack\}\label{mi}
\end{align}
\end{document}

I cannot fit the size of curly brackets, which I would like to have larger to embed the content inside. Any help?

enter image description here

Best Answer

I suggest you start by deleting the 11 instances of \left and \right. Next, replace both instances of \{ and \]} with \bigl\{ and \bigr\}, respectively.

Assuming that AF, CAF, and GLOB are variable names, they should probably be typeset with upright rather than math-italic letters.

enter image description here

\documentclass{article}
\usepackage{geometry}
\usepackage{amsmath} % for 'aligned' env.
\newcommand{\overbar}[1]{\mkern 1.5mu\overline{\mkern-1.5mu#1\mkern-1.5mu}\mkern 1.5mu}
\newcommand\vn[1]{\mathrm{#1}} % how to display variable names
\newcommand\AF{\overbar{\vn{AF}}}
\begin{document}
\begin{equation} \label{mi}
\begin{aligned}[b]
\smash[b]{\frac{\frac{\partial\pi( z )}{\partial \vn{CAF}_{ij}}}{\vn{GLOB}_{j}}}
&=( \theta_{10} + \theta_{11} + \omega_{1j} )
   \bigl\{ \xi[\theta_{00} + \eta_{1}\AF _{j} + (\theta_{10} + \theta_{11} 
   + \omega_{1j})\vn{CAF}_{ij} + \theta_{01} + \omega_{0j}]   \\
&\qquad\times[ 1 - \xi[ \theta_{00} + \eta_{1}\AF _{j}+ ( \theta_{10} 
   + \theta_{11} + \omega_{1j} )\vn{CAF}_{ij} + \theta_{01} + \omega_{0j} ]] \bigr\}   \\
&\quad-( \theta_{10} + \omega_{1j} )  
   \bigl\{ \xi[\theta_{00} + \eta_{1}\AF _{j} + (\theta_{10} + 
   \omega_{1j})\vn{CAF}_{ij} + \omega_{0j}]   \\
&\qquad\times[ 1 - \xi[ \theta_{00} + \eta_{1}\AF _{j} 
   + ( \theta_{10} + \omega_{1j} )\vn{CAF}_{ij} + \omega_{0j} ]] \bigr\}
\end{aligned} 
\end{equation}
\end{document}
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